From 70fb39ae55e19e1eea578df451fc796b24efb2c7 Mon Sep 17 00:00:00 2001 From: Fabio Durastante Date: Mon, 18 Nov 2024 10:03:21 +0100 Subject: [PATCH 1/3] Added Polynomial Smoother infos --- .gitignore | 2 + docs/amg4psblas_1.0-guide.pdf | Bin 1831831 -> 1871480 bytes docs/html/index.html | 82 +- docs/html/userhtml.css | 187 +- docs/html/userhtml.html | 82 +- docs/html/userhtmlli1.html | 7 + docs/html/userhtmlli2.html | 78 +- docs/html/userhtmlli3.html | 15 +- docs/html/userhtmlli4.html | 6 +- docs/html/userhtmlli5.html | 99 +- docs/html/userhtmlse1.html | 31 +- docs/html/userhtmlse2.html | 23 +- docs/html/userhtmlse3.html | 24 +- docs/html/userhtmlse4.html | 296 +- docs/html/userhtmlse5.html | 137 +- docs/html/userhtmlse6.html | 129 +- docs/html/userhtmlse7.html | 8 +- docs/html/userhtmlse8.html | 23 +- docs/html/userhtmlse9.html | 86 +- docs/html/userhtmlsu1.html | 90 +- docs/html/userhtmlsu10.html | 149 +- docs/html/userhtmlsu11.html | 260 +- docs/html/userhtmlsu12.html | 261 +- docs/html/userhtmlsu13.html | 292 +- docs/html/userhtmlsu14.html | 67 +- docs/html/userhtmlsu15.html | 173 +- docs/html/userhtmlsu16.html | 436 +-- docs/html/userhtmlsu2.html | 77 +- docs/html/userhtmlsu3.html | 4862 ++++++++++++++------------------- docs/html/userhtmlsu4.html | 10 +- docs/html/userhtmlsu5.html | 50 +- docs/html/userhtmlsu6.html | 73 +- docs/html/userhtmlsu7.html | 46 +- docs/html/userhtmlsu8.html | 89 +- docs/html/userhtmlsu9.html | 2745 +++++++++---------- docs/src/bibliography.tex | 15 +- docs/src/building.tex | 45 +- docs/src/userinterface.tex | 41 +- 38 files changed, 4755 insertions(+), 6341 deletions(-) diff --git a/.gitignore b/.gitignore index 6ecf4e1f..d9e7db98 100644 --- a/.gitignore +++ b/.gitignore @@ -20,3 +20,5 @@ autom4te.cache # the executable from tests runs +# Documentation temporary files +docs/src/userguide.pdf diff --git a/docs/amg4psblas_1.0-guide.pdf b/docs/amg4psblas_1.0-guide.pdf index 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zz^ORH0n^{+Kvw|BaRy)rX8_1?h7+d0_c2}Jf{Ng6oB;^H8E%+3S_E78K?{`9!@**KGr*rX1N@0Iz{fbl57U29LbnE};EX_&03dJ% zfCOg%NN@ZMy~aK=QGjK>(gE9f4Ps7M2XUTx6mQrc_L7(*=*H9;H%@d(k-o#`w&p zb3)8OKby{pFoV=MIw!^qvewc$Tg>1ZibZg#9cCy#Oy^+U;!>DgxDio^_$wJ2bQkH%9z`Gkoo{Hquqe8Vuvb&Q+x{{wXC@kamv diff --git a/docs/html/index.html b/docs/html/index.html index 876b4291..b5db3f13 100644 --- a/docs/html/index.html +++ b/docs/html/index.html @@ -59,40 +59,33 @@ class="cmr-12">General Overview class="cmr-12">2 Code Distribution -
  Contributors -
  Citing AMG4PSBLAS
3 Configuring and Building AMG4PSBLAS -
  3.1 Prerequisites -
  3.2 Optional third party libraries -
  3.3 Configuration options -
  3.4 Bug reporting -
  3.5 Example and test programs @@ -100,13 +93,11 @@ class="cmr-12">Example and test programs class="cmr-12">4 Getting Started -
  4.1 Examples -
  4.2 GPU example @@ -114,71 +105,62 @@ class="cmr-12">GPU example class="cmr-12">5 User Interface -
  5.1 Method init -
  5.2 Method set -
  5.3 Method hierarchy_build -
  5.4 Method smoothers_build -
  5.5 Method build -
  5.6 Method apply -
  5.7 Method free -
  5.8 Method descr -
  5.9 Auxiliary Methods
6 Adding new smoother and solver objects to AMG4PSBLAS
7 Error Handling
A License
B Contributor Covenant Code of Conduct
References diff --git a/docs/html/userhtml.css b/docs/html/userhtml.css index a5ede259..c29347d8 100644 --- a/docs/html/userhtml.css +++ b/docs/html/userhtml.css @@ -22,6 +22,9 @@ .cmmi-8{font-size:72%;font-style: italic;} .cmsy-10x-x-120{font-size:109%;} .cmsy-8{font-size:72%;} +.cmtt-10{font-size:90%;font-family: monospace,monospace;} +.cmtt-10{font-family: monospace,monospace;} +.cmtt-10{font-family: monospace,monospace;} .tctt-1200{font-size:109%;font-family: monospace,monospace;} .cmmi-10x-x-109{font-style: italic;} .cmsy-10x-x-109{} @@ -29,9 +32,6 @@ .cmtt-10x-x-109{font-family: monospace,monospace;} .cmtt-10x-x-109{font-family: monospace,monospace;} .cmcsc-10x-x-109{} -.cmtt-10{font-size:90%;font-family: monospace,monospace;} -.cmtt-10{font-family: monospace,monospace;} -.cmtt-10{font-family: monospace,monospace;} .cmbx-10x-x-109{ font-weight: bold;} .cmbx-10x-x-109{ font-weight: bold;} .cmbx-10x-x-109{ font-weight: bold;} @@ -42,21 +42,26 @@ p.indent{text-indent:0;} p + p{margin-top:1em;} p + div, p + pre {margin-top:1em;} div + p, pre + p {margin-top:1em;} +a { overflow-wrap: break-word; word-wrap: break-word; word-break: break-word; hyphens: auto; } @media print {div.crosslinks {visibility:hidden;}} +table.tabular{border-collapse: collapse; border-spacing: 0;} a img { border-top: 0; border-left: 0; border-right: 0; } center { margin-top:1em; margin-bottom:1em; } td center { margin-top:0em; margin-bottom:0em; } .Canvas { position:relative; } img.math{vertical-align:middle;} +div.par-math-display, div.math-display{text-align:center;} li p.indent { text-indent: 0em } li p:first-child{ margin-top:0em; } li p:last-child, li div:last-child { margin-bottom:0.5em; } +li p:first-child{ margin-bottom:0; } li p~ul:last-child, li p~ol:last-child{ margin-bottom:0.5em; } .enumerate1 {list-style-type:decimal;} .enumerate2 {list-style-type:lower-alpha;} .enumerate3 {list-style-type:lower-roman;} .enumerate4 {list-style-type:upper-alpha;} div.newtheorem { 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  Contributors -
  Citing AMG4PSBLAS
3 Configuring and Building AMG4PSBLAS -
  3.1 Prerequisites -
  3.2 Optional third party libraries -
  3.3 Configuration options -
  3.4 Bug reporting -
  3.5 Example and test programs @@ -100,13 +93,11 @@ class="cmr-12">Example and test programs class="cmr-12">4 Getting Started -
  4.1 Examples -
  4.2 GPU example @@ -114,71 +105,62 @@ class="cmr-12">GPU example class="cmr-12">5 User Interface -
  5.1 Method init -
  5.2 Method set -
  5.3 Method hierarchy_build -
  5.4 Method smoothers_build -
  5.5 Method build -
  5.6 Method apply -
  5.7 Method free -
  5.8 Method descr -
  5.9 Auxiliary Methods
6 Adding new smoother and solver objects to AMG4PSBLAS
7 Error Handling
A License
B Contributor Covenant Code of Conduct
References diff --git a/docs/html/userhtmlli1.html b/docs/html/userhtmlli1.html index dcc83f43..27911345 100644 --- a/docs/html/userhtmlli1.html +++ b/docs/html/userhtmlli1.html @@ -145,6 +145,13 @@ class="cmr-12">of AMG4PSBLAS. +

+ + + + + +

[Code Distribution class="cmr-12">3 Configuring and Building AMG4PSBLAS -
  3.1 Prerequisites -
  3.2 Optional third party libraries -
  3.3 Configuration options -
  3.4 Bug reporting -
  3.5 Example and test programs @@ -72,13 +67,11 @@ class="cmr-12">Example and test programs class="cmr-12">4 Getting Started -
  4.1 Examples -
  4.2 GPU example @@ -86,83 +79,64 @@ class="cmr-12">GPU example class="cmr-12">5 User Interface -
  5.1 Method init -
  5.2 Method set -
  5.3 Method hierarchy_build -
  5.4 Method smoothers_build -
  5.5 Method build -
  5.6 Method apply -
  5.7 Method free -
  5.8 Method descr -
  5.9 Auxiliary Methods -
   5.9.1 Method: dump -
   5.9.2 Method: clone -
   5.9.3 Method: sizeof -
   5.9.4 Method: allocate_wrk -
   5.9.5 Method: free_wrk
up]

Contributors

    -
  • +

    Pasqua D’Ambra, IAC-CNR, IT; -

    • -
  • Fabio Durastante, University of Pisa and IAC-CNR, IT;
    • -
  • +

    Fabio Durastante, University of Pisa and IAC-CNR, IT; +

    • +
  • +

    Salvatore Filippone, University of Rome Tor-Vergata and IAC-CNR, IT;

diff --git a/docs/html/userhtmlli4.html b/docs/html/userhtmlli4.html index 2a339025..a943f3f2 100644 --- a/docs/html/userhtmlli4.html +++ b/docs/html/userhtmlli4.html @@ -25,7 +25,7 @@ href="userhtmlse2.html#userhtmlli4.html" >up]

Citing AMG4PSBLAS

When use the library, please cite the following: @@ -41,6 +41,7 @@ class="cmr-12">When use the library, please cite the following:        archivePrefix = {arXiv},        year={2021}      } + @Misc{psctoolkit-web-page,        author = {D’Ambra, Pasqua and Durastante, Fabio and Filippone, Salvatore},        title =  {{PSCToolkit} {W}eb page}, @@ -56,6 +57,9 @@ class="cmr-12">When use the library, please cite the following: + + +

[up]

References

@@ -303,22 +303,41 @@ class="cmr-12">  P. D’Ambra, F D’Ambra, F. Durastante, S. Filippone, AMG preconditioners for Linear Solvers towards Extreme Scale, 2020, arXiv:2006.16147v3. +class="cmr-12">, SIAM Journal on Scientific Computing + 43, no. 5 (2021): S679-S703.

[15]   P. D’Ambra, F. Durastante, S. Filippone, S. Massei, S. Thomas + Optimal Polynomial Smoothers for Parallel AMG, 2024, arXiv:2407.09848. +

+

+ [16]   T.)

[16][17]   SIAM Journal on Matrix Analysis and Applications, 20 (3), 1999, 7

[17][18]   Software, 16 (1) 1990, 1–17.

[18][19]   extended set of FORTRAN Basic Linear Algebra Subprograms< class="cmr-12">, ACM Transactions on Mathematical Software, 14 (1) 1988, 1–17. + + +

[19][20]   Clusters, in Proc. of ParCo 2001, Parallel Computing, Advances and Current Issues, 2002. - - -

[20][21]   .

[21][22]    23.

[22][23]   Transactions on Mathematical Software, 26 (4), 2000, 527–55

[23][24]   2016, 23:501-518

[24][25]   , MIT Press, 1998.

[25][26]   Algebra Subprograms for FORTRAN usage, ACM Transactions on Mathematical Software, 5 (3), 1979, 308–323. + + +

[26][27]   J. Lottes, Optimal polynomial smoothers for multigrid V-cycles, + Numerical Linear Algebra with Applications 30.6 (2023): e2518. +

+

+ [28]   Distributed-memory Sparse Direct Solver for Unsymmetric Linear S class="cmr-12">, ACM Transactions on Mathematical Software, 29 (2), 2003, 110–140. - - -

[27][29]   Numerical Linear Algebra with Applications, 15 (5), 2008, 473R

[28][30]   2003.

[29][31]   University Press, 1996.

[30][32]   Press, 1998.

[31][33]    Oosterlee, Multigrid, Academic Press, 2001.

[32][34]   Aggregation Strategies on Massively Parallel Machines, in J. Donnelley, editor, Proceedings of SuperComputing 2000, Dallas, 2000. + + +

[33][35]   (3) 1996, 179–196.

+ + +

[5, 3133]), to be used in the iterative solution of linear systems,
-
+
Ax = b,
+ (1)
-

-

where A is a square, real or complex, sparse symmetric positive definite (s.p.d) @@ -121,7 +121,7 @@ class="cmr-12">5, 2729]; they can be combined with Jacobi, hybrid forward/backward problem, e.g., the discretization of a PDE. To this end, two diff strategies, based on aggregation, are available:

    -
  • +

    a decoupled version of the smoothed aggregation procedure proposed in [,  3335], and already included in the previous versions of the package ;

    • -
  • +

    a coupled, parallel implementation of the Coarsening based on Compatible Weighted Matching introduced incomputational framework [2223, 2122]. PSBLAS provides basic linear algebra operators AMG4PSBLAS has a layered and modular software architecture where class="cmr-12">layers can be identified. The lower layer consists of the PSBLAS kernels, the middle one implements the construction and application phases of the preconditioners, and the -upper one provides a uniform interface to all the preconditioners. This architecture +upper one provides a uniform interface to all the preconditioners. This architecture allows for different levels of use of the package: few black-box routines at the upper . + + +

    [2 Code Distribution

    AMG4PSBLAS is available from the web site -

    -

    +

    https://psctoolkit.github.io/products/amg4psblas/

    +class="cmr-12">https://psctoolkit.github.io/products/amg4psblas/

    where contact points for further information can be also found.

    different and more stringent license, most notably the GPL, and t class="cmr-12">into account when treating derived works.

    The library defines a version string with the constant -

    +
    amg_version_string_ -
    +" class="math-display" >

    whose current value is 1.0whose current value is 1.0.

    -  Contributors -
      Citing AMG4PSBLAS
    diff --git a/docs/html/userhtmlse3.html b/docs/html/userhtmlse3.html index 3184abfd..c076066f 100644 --- a/docs/html/userhtmlse3.html +++ b/docs/html/userhtmlse3.html @@ -34,8 +34,7 @@ class="cmr-12">Configuring and Building AMG4PSBLAS

    In order to build AMG4PSBLAS it is necessary to set up a Makefile with appropriate system-dependent variables; this is done by means of the configure system-dependent variables; this is done by means of the configure script. The distribution also includes the autoconf and automake sources employed to generate the @@ -48,12 +47,10 @@ class="cmr-12"> 2003, with some class="cmr-12">interfaces to external libraries in C; the Fortran compiler must support the Fortran 2003 standard plus the extension MOLD=  2003 standard plus the extension MOLD= feature, which enhances the usability of ALLOCATEof ALLOCATE. Most Fortran compilers provide this feature; in particular, this is supported by the GNU Fortran compiler, for which we recommend to use at least @@ -87,28 +84,23 @@ class="cmr-12">the base and optional software used by AMG4PSBLAS is given in the class="cmr-12">sections.

    -  3.1 Prerequisites -
      3.2 Optional third party libraries -
      3.3 Configuration options -
      3.4 Bug reporting -
      3.5 Example and test programs diff --git a/docs/html/userhtmlse4.html b/docs/html/userhtmlse4.html index 0a78b57d..264761de 100644 --- a/docs/html/userhtmlse4.html +++ b/docs/html/userhtmlse4.html @@ -40,56 +40,46 @@ class="cmr-12">PSBLAS [2021].

    The following steps are required:

      -
    1. +

      Declare the preconditioner data structure. It is a derived data type, - amg_xprec_ typeamg_xprec_ type, where x may be s, d, c or zmay be s, d, c or z, according to the basic data type of the sparse matrix (s = real single precision; d type of the sparse matrix (s = real single precision; d = real double precision; - c = complex single precision; z c = complex single precision; z = complex double precision). This data structure is accessed by the user only through the AMG4PSBLAS routines, following an object-oriented approach.

      2. -
    2. +

      Allocate and initialize the preconditioner data structure, according to a preconditioner type chosen by the user. This is performed by the routine - initinit, which also sets defaults for each preconditioner type selected by the user. The preconditioner types and the defaults associated with them @@ -98,34 +88,35 @@ class="cmr-12">are given in Table 1, where the strings used by init , where the strings used by init to identify the preconditioner types are also given. Note that these strings are valid also if uppercase letters are substituted by corresponding lowercase ones.

      3. -
    3. +

      Modify the selected preconditioner type, by properly setting preconditioner parameters. This is performed by the routine setThis is performed by the routine set. This routine must be called if the user wants to modify the default values of the parameters associated with the selected preconditioner type, to obtain a variant of that preconditioner. Examples of use of set preconditioner. Examples of use of set are given in Section 4.1; a complete + + + list of all the preconditioner parameters and their allowed and default values 8.

      4. -
    4. +

      Build the preconditioner for a given matrix. If the selected preconditioner is multilevel, then two steps must be performed, as specified next. - - -

        -
      1. +

        Build the AMG hierarchy for a given matrix. This is performed by the routine hierarchy_buildroutine hierarchy_build.

        2. -
      2. +

        Build the preconditioner for a given matrix. This is performed by the routine smoothers_buildroutine smoothers_build.

      If the selected preconditioner is one-level, it is built in a single step, performed by the routine bldthe routine bld.

      5. -
    5. +

      Apply the preconditioner at each iteration of a Krylov solver. This is performed by the method applythe method apply. When using the PSBLAS Krylov solvers, this step is completely transparent to the user, since apply completely transparent to the user, since apply is called by the PSBLAS routine implementing the Krylov solver (psb_krylovimplementing the Krylov solver (psb_krylov).

      6. -
    6. +

      Free the preconditioner data structure. This is performed by the routine free. This is performed by the routine free. This step is complementary to step 1 and should be performed when the @@ -231,28 +217,28 @@ class="cmr-12">. >

      r +class="td11"> + No preconditioner +class="td11"> + Diagonal +class="td11"> + Gauss-Seidel +class="td11"> + Symmetrized Gauss-Seidel +class="td11"> + Block Jacobi +class="td11"> + Additive Schwarz + the preconditioner. +
      type

      e

      string

      g

      deioner

      No preconditioner

      ’NONE’

      Considered to use the PSBLAS Krylov -solvers with no preconditioner.

      ’NONE’ +

      Considered to use the PSBLAS Krylov + solvers with no preconditioner. +
      Diagonal

      ’DIAG’, -’JACOBI’, -’L1-JACOBI’

      Diagonal preconditioner. For any zero -diagonal entry of the matrix to be -preconditioned, the corresponding entry -of the preconditioner is set to 1.

      ’DIAG’, + ’JACOBI’, + ’L1-JACOBI’ +

      Diagonal preconditioner. For any zero + diagonal entry of the matrix to be + preconditioned, the corresponding entry + of the preconditioner is set to 1. +
      Gauss-Seidel

      ’GS’, -’L1-GS’

      Hybrid Gauss-Seidel (forward), that is, -global block Jacobi with Gauss-Seidel as -local solver.

      ’GS’, + ’L1-GS’ +

      Hybrid Gauss-Seidel (forward), that is, + global block Jacobi with Gauss-Seidel as + local solver. +
      Symmetrized Gauss-Seidel

      ’FBGS’, -’L1-FBGS’

      Symmetrized hybrid Gauss-Seidel, that -is, forward Gauss-Seidel followed by -backward Gauss-Seidel.

      ’FBGS’, + ’L1-FBGS’ +

      Symmetrized hybrid Gauss-Seidel, that + is, forward Gauss-Seidel followed by + backward Gauss-Seidel. +
      Block Jacobi

      ’BJAC’, -’L1-BJAC’

      Block-Jacobi with ILU(0) on the local -blocks.

      ’BJAC’, + ’L1-BJAC’ +

      Block-Jacobi with ILU(0) on the local + blocks. +
      Additive Schwarz

      ’AS’

      Additive Schwarz (AS), with overlap 1 -and ILU(0) on the local blocks.

      ’AS’ +

      Additive Schwarz (AS), with overlap 1 + and ILU(0) on the local blocks. +
      Multilevel

      ’ML’

      V-cycle with one hybrid -forward Gauss-Seidel (GS) sweep as -pre-smoother and one hybrid backward -GS sweep as post-smoother, decoupled -smoothed aggregation as coarsening -algorithm, and LU (plus triangular solve) -as coarsest-level solver. See the default -values in Tables  + Multilevel

      ’ML’ +

      V-cycle with one hybrid + forward Gauss-Seidel (GS) sweep as + pre-smoother and one hybrid backward + GS sweep as post-smoother, decoupled + smoothed aggregation as coarsening + algorithm, and LU (plus triangular solve) + as coarsest-level solver. See the default + values in Tables 2-8 for further details of -the preconditioner.

      +class="td11">

    Table 1: Preconditioner types, corresponding strings and default choices.
    @@ -399,18 +362,15 @@ class="content">Preconditioner types, corresponding strings and default choices.

Note that the module amg_prec_modNote that the module amg_prec_mod, containing the definition of the preconditioner data type and the interfaces to the routines of AMG4PSBLAS, must be used in any program calling such routines. The modules psb_base_modin any program calling such routines. The modules psb_base_mod, for the sparse matrix and communication descriptor data types, and psb_krylov_modsparse matrix and communication descriptor data types, and psb_krylov_mod, for interfacing with the Krylov solvers, must be also used (see Sectionproblems. However, this does not necessarily correspond to the sh class="cmr-12">on parallel computers.

-  4.1 Examples -
  4.2 GPU example diff --git a/docs/html/userhtmlse5.html b/docs/html/userhtmlse5.html index a7e1fb0e..aa19b30e 100644 --- a/docs/html/userhtmlse5.html +++ b/docs/html/userhtmlse5.html @@ -33,28 +33,20 @@ class="cmr-12">5 User Interface

The basic user interface of AMG4PBLAS consists of eight methods. The six methods -init, set, build, hierarchy_build, smoothers_build and apply init, set, build, hierarchy_build, smoothers_build and apply encapsulate all the functionalities for the setup and the application of any multilevel and one-level preconditioner implemented in the package. The method free preconditioner implemented in the package. The method free deallocates the preconditioner data structure, while descr preconditioner data structure, while descr prints a description of the preconditioner setup by the user. For backward compatibility, methods are also accessible as @@ -67,53 +59,44 @@ class="cmr-12">real/complex and single/double precision data; arguments with app must be passed to the method, i.e.,

+ + +

The new solver object is then dynamically included in the preconditioner structure, to which the preconditioner will conform, even though class="cmr-12">the AMG4PSBLAS library has not been modified to account for this new development. - - -

It is possible to define new values for the keyword WHAT in the set It is possible to define new values for the keyword WHAT in the set routine; if the library code does not recognize a keyword, it passes it down the composition hierarchy @@ -147,8 +113,7 @@ class="cmr-12">any keyword/value pair that does not pertain to a given solver is class="cmr-12">ignored.

An example is provided in the source code distribution under the folder -tests/newslvtests/newslv. In this example we are implementing a new incomplete factorization variant (which is simply the ILU(0) factorization under a new name). Because of the @@ -165,61 +130,51 @@ class="cmr-12">The interfaces for the calls shown above are defined using

-

+

smoother

class(amg_x_base_smoother_type)

+ preconditioner. + style="vertical-align:baseline;" id="TBL-23-3-">

smoother

class(amg_x_base_smoother_type)

The user-defined new smoother to be employed in the -preconditioner.

solver

class(amg_x_base_solver_type)

solver

class(amg_x_base_solver_type)

The user-defined new solver to be employed in the preconditioner.

+ style="vertical-align:baseline;" id="TBL-23-4-">

The user-defined new solver to be employed in the preconditioner.

The other arguments are defined in the way described in Sec. 5.2. As an example, in the -tests/newslv code we define a new object of type amg_d_tlu_solver_typetests/newslv code we define a new object of type amg_d_tlu_solver_type, and we pass it as follows: - 

+   
+
   ! sparse matrix and preconditioner
   type(psb_dspmat_type) :: a
   type(amg_dprec_type)  :: prec
   type(amg_d_tlu_solver_type) :: tlusv
+
 ......
   !
   !  prepare the preconditioner: an ML with defaults, but with TLU solver at
@@ -230,6 +185,7 @@ class="cmr-12">pass it as follows:
   nlv = prec%get_nlevs()
   call prec%set(tlusv,   info,ilev=1,ilmax=max(1,nlv-1))
   call prec%smoothers_build(a,desc_a,info)
+
 

 

                                                                                
@@ -241,6 +197,9 @@ class="cmr-12">pass it as follows:
                                                                                
 
                                                                                
+                                                                               
+
+                                                                               
    
[Error Handling
 
The error handling in AMG4PSBLAS is based on the PSBLAS error handling. Error
 conditions are signaled via an integer argument infoconditions are signaled via an integer argument info; whenever an error condition is
 detected, an error trace stack is built by the library up to the top-level, user-callable
@@ -52,7 +51,7 @@ class="cmr-12">PSBLAS error handling routines; for further details see the PSBLA
 [2021].
                                                                                
@@ -67,6 +66,9 @@ class="cmr-12">.
                                                                                
 
                                                                                
+                                                                               
+
+                                                                               
    
[AMG4PSBLAS is freely distributable under the following copyright
                                                                                
 
                                                                                
-   
+   
+
                            AMG4PSBLAS  version 1.0
               Algebraic MultiGrid Preconditioners Package
              based on PSBLAS (Parallel Sparse BLAS version 3.7)
+
   (C) Copyright 2021
+
   Pasqua D’Ambra         IAC-CNR, IT
   Fabio Durastante       University of Pisa and IAC-CNR, IT
   Salvatore Filippone    University of Rome Tor-Vergata and IAC-CNR, IT
+
   Redistribution and use in source and binary forms, with or without
   modification, are permitted provided that the following conditions
   are met:
@@ -55,6 +59,7 @@ class="cmr-12">AMG4PSBLAS is freely distributable under the following copyright
     3. The name of the MLD2P4 group or the names of its contributors may
        not be used to endorse or promote products derived from this
        software without specific written permission.
+
   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
   ‘‘AS IS’’ AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
   TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@@ -66,6 +71,7 @@ class="cmr-12">AMG4PSBLAS is freely distributable under the following copyright
   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
   POSSIBILITY OF SUCH DAMAGE.
+
 

 

                                                                                
@@ -78,14 +84,20 @@ class="cmr-12">abide by its terms:
                                                                                
 
                                                                                
-   
+   
+
+
                            MLD2P4  version 2.2
   MultiLevel Domain Decomposition Parallel Preconditioners Package
              based on PSBLAS (Parallel Sparse BLAS version 3.5)
+
   (C) Copyright 2008-2018
+
       Salvatore Filippone
       Pasqua D’Ambra
       Daniela di Serafino
+
+
   Redistribution and use in source and binary forms, with or without
   modification, are permitted provided that the following conditions
   are met:
@@ -97,6 +109,7 @@ class="cmr-12">abide by its terms:
     3. The name of the MLD2P4 group or the names of its contributors may
        not be used to endorse or promote products derived from this
        software without specific written permission.
+
   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
   ‘‘AS IS’’ AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
   TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@@ -108,6 +121,7 @@ class="cmr-12">abide by its terms:
   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
   POSSIBILITY OF SUCH DAMAGE.
+
 

 
 AMG4PSBLAS is distributed together with (a small part of) the graph-matching
@@ -127,7 +141,7 @@ class="cmr-12">here.
                                                                                
 
                                                                                
-   
+   
 // ***********************************************************************
 //
 //        MatchboxP: A C++ library for approximate weighted matching
@@ -179,6 +193,9 @@ class="cmr-12">here.
                                                                                
 
                                                                                
+                                                                               
+
+                                                                               
    
[Contributor Covenant Code of Conduct
    

    

 
Our Pledge
    We as members, contributors, and leaders pledge to make participation in
@@ -55,52 +55,62 @@ class="cmr-12">of behavior that contributes to a positive environment for our co
 include:
      
    
-     
  • 
+     
    Demonstrating empathy and kindness toward other people
      
    • 
-     
  • 
+     
    Being respectful of differing opinions, viewpoints, and experiences
      
    • 
-     
  • 
+     
    Giving and gracefully accepting constructive feedback
      
    • 
-     
  • 
+     
    Accepting responsibility and apologizing to those affected by our mistakes,
      and learning from the experience
      
    • 
-     
  • 
+     
    Focusing on what is best not just for us as individuals, but for the overall
      community

+                                                                               
+
+                                                                               
 
Examples of unacceptable behavior include:
      
    
-     
  • 
+     
    The use of sexualized language or imagery, and sexual attention or advances
      of any kind
-                                                                               
-
-                                                                               
      
    • 
-     
  • 
+     
    Trolling, insulting or derogatory comments, and personal or political attacks
      
    • 
-     
  • 
+     
    Public or private harassment
      
    • 
-     
  • 
+     
    Publishing others’ private information, such as a physical or email address,
      without their explicit permission
      
    • 
-     
  • 
+     
    Other  conduct  which  could  reasonably  be  considered  inappropriate  in  a
      professional setting

 
Enforcement Responsibilities
    Community leaders are responsible for clarifying and enforcing our standards of
@@ -127,7 +137,7 @@ class="cmr-12">appointed representative at an online or offline event. Enforceme
 abusive, harassing, or otherwise unacceptable behavior may be reported to the
 community leaders responsible for enforcement at community leaders responsible for enforcement at  eocoe@na.iac.cnr.it. All
@@ -137,8 +147,11 @@ class="cmr-12">complaints will be reviewed and investigated promptly and fairly.
 class="cmr-12">leaders are obligated to respect the privacy and security of the reporter of any
 incident.
+                                                                               
+
+                                                                               
 
Enforcement Guidelines
    Community leaders will follow these Community Impact Guidelines in
@@ -147,17 +160,15 @@ class="cmr-12">determining the consequences for any action they deem in violatio
 Conduct:
      
    
-     
  1. 
+     
    Correction
      
    Community Impact: Use of inappropriate language or other behavior deemed
      unprofessional or unwelcome in the community.
-                                                                               
-
-                                                                               
      
    Consequence: A private, written warning from community leaders, providing
@@ -166,8 +177,9 @@ class="cmr-12">clarity around the nature of the violation and an explanation of
      behavior was inappropriate. A public apology may be requested.
      
    2. 
-     
  2. 
+     
    Warning
      
    Community Impact: channels like social media. Violating these terms may lead to a t
      or permanent ban.
      
    3. 
-     
  3. 
+     
    Temporary Ban
      
    Community Impact: public or private interaction with the people involved, including
 class="cmr-12">interaction with those enforcing the Code of Conduct, is allowed during this
      period. Violating these terms may lead to a permanent ban.
+                                                                               
+
+                                                                               
      
    4. 
-     
  4. 
+     
    Permanent Ban
      
    Community Impact:  A permanent ban from any sort of public interaction within
      the community.

 
Attribution
    This Code of Conduct is adapted from the Contributor Covenant, version 2.0,
 available at available at  https://www.contributor-covenant.org/version/2/0/code_of. Community Impact Guidelines were inspired by Mozilla’s co
 enforcement ladder. For answers to common questions about this code of conduct, see
 the FAQ at the FAQ at  https://www.contributor-covenant.org/faq. Translations are available at
@@ -255,6 +272,13 @@ class="cmr-12">.
                                                                                
 
                                                                                
+

+                                                                               
+
+                                                                               
+                                                                               
+
+                                                                               
                                                                                
 
                                                                                
diff --git a/docs/html/userhtmlsu1.html b/docs/html/userhtmlsu1.html
index 8022ba00..f9736269 100644
--- a/docs/html/userhtmlsu1.html
+++ b/docs/html/userhtmlsu1.html
@@ -33,29 +33,29 @@ class="cmr-12">The following base libraries are needed:
      

 BLAS 

+     
[1718, 1819, 25] Many vendors provide optimized versions of BLAS; if no
-     vendor  version  is  available  for  a  given  platform,  the  ATLAS  software
+class="cmr-12">26]  Many  vendors  provide  optimized  versions  of  BLAS;  if  no
      (vendor  version  is  available  for  a  given  platform,  the  ATLAS  software  (
+     math-atlas.sourceforge .net) may be employed. The reference BLAS from
      Netlib (Netlib ( www.netlib.org/blas) are meant to define the standard behaviour of
@@ -74,7 +74,7 @@ class="cmr-12">our experience is that configuring ATLAS for building full LAPACK
      not always work in the expected way. Our advice is first to download the
      LAPACK tarfile from LAPACK tarfile from  www.netlib.org/lapack and install it independently of
@@ -87,14 +87,15 @@ class="cmr-12">library.
      

 MPI 

+     
[2425, 3032] A version of MPI is available on most high-performance computing
      systems.
      

 PSBLAS 

+     
[2021, 22]   Parallel   Sparse   BLAS   (PSBLAS)   is   available   from
-     23]                                   Parallel                                   Sparse
+     BLAS (PSBLAS) is available from  psctoolkit.github.io/ products/psblas/; version 3.7.0 (or later) is required.
+class="cmr-12">;
+     version 3.7.0 (or later) is required. Indeed, all the prerequisites listed so far
      Indeed, all the prerequisites listed so far are also prerequisites of PSBLAS.

+class="cmr-12">are also prerequisites of PSBLAS.
 
Please note that the four previous libraries must have Fortran interfaces compatible with
 compiler being used for AMG4PSBLAS.
 
   If you want to use the PSBLAS support for NVIDIA GPUs, you will also
 need:
-     

+class="cmr-12">need a working version of the CUDA Toolkit that is compatible with the
 PSBLAS-EXT 
Parallel  Sparse  BLAS  (PSBLAS)  Extensions,  available  from
-     psctoolkit.github.io/products/psblasext/; version 1.3.0 (or later).
-     

+class="cmr-12">compiler choice made to compile PSBLAS and AMG4PSBLAS. After that
+you will need to have configured and compiled the PSBLAS library with the
+options:
+                                                                               
+
+                                                                               
+   
+./configure --enable-cuda --with-cudadir=${CUDA_HOME} --with-cudacc=xx,yy,zz  
+

+
 Previous versions required you to have the auxiliary libraries SPGPU and
+PSBLAS-EXT compiled, this is no longer necessary because they have been integrated
+into PSBLAS and are compiled by activating the previous flags during configuration.
 SPGPU 
Sparse CUDA kernels for NVIDIA GPUs; available from GitHub, see
-     also psctoolkit.github.io/products/psblasext/.

-
See also Sec .
                                                                                
 
                                                                                
-   
[next] [up] 

-
   
     
  
diff --git a/docs/html/userhtmlsu10.html b/docs/html/userhtmlsu10.html
index b2013249..7492978d 100644
--- a/docs/html/userhtmlsu10.html
+++ b/docs/html/userhtmlsu10.html
@@ -1,7 +1,7 @@
   
  
-Method hierarchy_build 
+Method hierarchy_uild 
  
  
  
@@ -10,7 +10,7 @@
  
 
-   
[nextMethod hierarchy_build
 

-

-
call p%hierarchy_build(a,desc_a,info)

+

+
call p%hierarchy_build(a,desc_a,info)

 

-
This method builds the hierarchy of matrices and restriction/prolongation operators for
 the multilevel preconditioner pthe multilevel preconditioner p, according to the requirements made by the user
 through the methods init and setthrough the methods init and set.
-
Arguments
-   
 
+   
 
a     
type(psb_xspmat_type), intent(in).                                  

+class="cmr-12">.
+ style="vertical-align:baseline;" id="TBL-12-3-">
+class="cmr-12">.
+ style="vertical-align:baseline;" id="TBL-12-5-">
+class="cmr-12">for details.
 
a      
 
type(psb_xspmat_type), intent(in).                                     

 
      
 
       
 
The sparse matrix structure containing the local part of the matrix
-to be preconditioned. Note that x must be chosen according to the
-real/complexreal/complex, single/double precision version of AMG4PSBLAS
-under use. See the PSBLAS User’s Guide for details [2021].            
              
 
desc_a
type(psb_desc_type), intent(in).                                     
 
desc_a 
 
type(psb_desc_type), intent(in).                                         

 
      
The communication descriptor of a
 
       
 
The communication descriptor of a. See the PSBLAS User’s Guide
-for details [2021].                                                                    
                                                                     
 
info  
integer, intent(out).                                                       
 
info   
 
integer, intent(out).                                                          

 
      
 
       
 
Error code. If no error, 0 is returned. See Section 7 for details.     
      
 
       

+ style="vertical-align:baseline;" id="TBL-12-7-">                                                                    

                                                                                
 
                                                                                
                                                                                
 
                                                                                
-   
[next] [up] 

-
   
     
  
diff --git a/docs/html/userhtmlsu11.html b/docs/html/userhtmlsu11.html
index da684b86..da5b3709 100644
--- a/docs/html/userhtmlsu11.html
+++ b/docs/html/userhtmlsu11.html
@@ -1,7 +1,7 @@
   
  
-Method smoothers_build 
+Method smoothers_uild 
  
  
  
@@ -10,7 +10,7 @@
  
 
-   
[nextMethod smoothers_build
 

-

-
call p%smoothers_build(a,desc_a,p,info[,amold,vmold,imold])

+

+
call p%smoothers_build(a,desc_a,p,info[,amold,vmold,imold])

 

-
This method builds the smoothers and the coarsest-level solvers for the multilevel
 preconditioner ppreconditioner p, according to the requirements made by the user through the methods
-init and setinit and set, and based on the aggregation hierarchy produced by a previous call to
-hierarchy_build hierarchy_build (see Section 5.3).
-
Arguments
-   
 
+   
 
a     
type(psb_xspmat_type), intent(in).                                  

+class="cmr-12">.
+ style="vertical-align:baseline;" id="TBL-13-3-">
+class="cmr-12">.
+ style="vertical-align:baseline;" id="TBL-13-5-">
+class="cmr-12">for details.
+ style="vertical-align:baseline;" id="TBL-13-7-">
+class="cmr-12">.
+ style="vertical-align:baseline;" id="TBL-13-9-">
+  allows e.g. running on GPUs.
+ style="vertical-align:baseline;" id="TBL-13-11-">
+  this allows e.g. running on GPUs.
 
a      
 
type(psb_xspmat_type), intent(in).                                     

 
      
 
       
 
The sparse matrix structure containing the local part of the matrix
-to be preconditioned. Note that x must be chosen according to the
-real/complexreal/complex, single/double precision version of AMG4PSBLAS
-under use. See the PSBLAS User’s Guide for details [2021].            
              
 
desc_a
type(psb_desc_type), intent(in).                                     
 
desc_a 
 
type(psb_desc_type), intent(in).                                         

 
      
The communication descriptor of a
 
       
 
The communication descriptor of a. See the PSBLAS User’s Guide
-for details [2021].                                                                    
                                                                     
 
info  
integer, intent(out).                                                       
 
info   
 
integer, intent(out).                                                          

 
      
 
       
 
Error code. If no error, 0 is returned. See Section 7 for details.     
      
 
amold 
class(psb_x_base_sparse_mat), intent(in), optional.       
 
amold  
 
class(psb_x_base_sparse_mat), intent(in), optional.            

 
      
 
       
 
The  desired  dynamic  type  for  internal  matrix  components;  this
-allows  e.g.  running  on  GPUs;  it  needs  not  be  the  same  on  all
-processes. See the PSBLAS User’s Guide for details [2021].             
              
 
vmold 
class(psb_x_base_vect_type), intent(in), optional.         
 
vmold  
 
class(psb_x_base_vect_type), intent(in), optional.              

 
      
 
       
 
The  desired  dynamic  type  for  internal  vector  components;  this
-allows e.g. running on GPUs.                                                 
                                                  
 
imold 
class(psb_i_base_vect_type), intent(in), optional.         
 
imold  
 
class(psb_i_base_vect_type), intent(in), optional.              

 
      
 
       
 
The desired dynamic type for internal integer vector components;
-this allows e.g. running on GPUs.                                           
                                            
 
       

+ style="vertical-align:baseline;" id="TBL-13-13-">                                                                    

                                                                                
 
                                                                                
                                                                                
 
                                                                                
-   
[next] [up] 

-
   
     
  
diff --git a/docs/html/userhtmlsu12.html b/docs/html/userhtmlsu12.html
index 4f4c7dec..33e34492 100644
--- a/docs/html/userhtmlsu12.html
+++ b/docs/html/userhtmlsu12.html
@@ -10,7 +10,7 @@
  
 
-   
[next5.5    Method build
 

-

-
call p%build(a,desc_a,info[,amold,vmold,imold])

+

+
call p%build(a,desc_a,info[,amold,vmold,imold])

 

-
This method builds the preconditioner p 
This method builds the preconditioner p according to the requirements made by the
 user through the methods init and set user through the methods init and set (see Sections for multilevel
 preconditioners). It is mostly provided for backward compatibility; indeed, it is
 internally implemented by invoking the two previous methods hierarchy_build internally implemented by invoking the two previous methods hierarchy_build and
-smoothers_buildsmoothers_build, whose nomenclature would however be somewhat unnatural when
 dealing with simple one-level preconditioners.
-
Arguments
-   
 
+   
 
a     
type(psb_xspmat_type), intent(in).                                  

+class="cmr-12">.
+ style="vertical-align:baseline;" id="TBL-14-3-">
+class="cmr-12">.
+ style="vertical-align:baseline;" id="TBL-14-5-">
+class="cmr-12">for details.
+ style="vertical-align:baseline;" id="TBL-14-7-">
+class="cmr-12">.
+ style="vertical-align:baseline;" id="TBL-14-9-">
+  allows e.g. running on GPUs.
+ style="vertical-align:baseline;" id="TBL-14-11-">
+  this allows e.g. running on GPUs.
 
a      
 
type(psb_xspmat_type), intent(in).                                     

 
      
 
       
 
The sparse matrix structure containing the local part of the matrix
-to be preconditioned. Note that x must be chosen according to the
-real/complexreal/complex, single/double precision version of AMG4PSBLAS
-under use. See the PSBLAS User’s Guide for details [2021].            
              
 
desc_a
type(psb_desc_type), intent(in).                                     
 
desc_a 
 
type(psb_desc_type), intent(in).                                         

 
      
The communication descriptor of a
 
       
 
The communication descriptor of a. See the PSBLAS User’s Guide
-for details [2021].                                                                    
                                                                     
 
info  
integer, intent(out).                                                       
 
info   
 
integer, intent(out).                                                          

 
      
 
       
 
Error code. If no error, 0 is returned. See Section 7 for details.     
      
 
amold 
class(psb_x_base_sparse_mat), intent(in), optional.       
 
amold  
 
class(psb_x_base_sparse_mat), intent(in), optional.            

 
      
 
       
 
The  desired  dynamic  type  for  internal  matrix  components;  this
-allows  e.g.  running  on  GPUs;  it  needs  not  be  the  same  on  all
-processes. See the PSBLAS User’s Guide for details [2021].             
              
 
vmold 
class(psb_x_base_vect_type), intent(in), optional.         
 
vmold  
 
class(psb_x_base_vect_type), intent(in), optional.              

 
      
 
       
 
The  desired  dynamic  type  for  internal  vector  components;  this
-allows e.g. running on GPUs.                                                 
                                                  
 
imold 
class(psb_i_base_vect_type), intent(in), optional.         
 
imold  
 
class(psb_i_base_vect_type), intent(in), optional.              

 
      
 
       
 
The desired dynamic type for internal integer vector components;
-this allows e.g. running on GPUs.                                           
                                            
 
       

-
                                                                    

+
The method can be used to build multilevel preconditioners too.
                                                                                
 
@@ -272,7 +179,7 @@ class="cmr-12">The method can be used to build multilevel preconditioners too.
[next] [up] 

-
   
     
  
diff --git a/docs/html/userhtmlsu13.html b/docs/html/userhtmlsu13.html
index aec509c3..57ba9619 100644
--- a/docs/html/userhtmlsu13.html
+++ b/docs/html/userhtmlsu13.html
@@ -10,7 +10,7 @@
  
 
-   
[next5.6    Method apply
 

-

-
call p%apply(x,y,desc_a,info [,trans,work])

+

+
call p%apply(x,y,desc_a,info [,trans,work])

 

-
This method computes y = , where B is a previously built preconditioner,
 stored into pstored into p, and op denotes the preconditioner itself or its transpose, according to the
 value of transvalue of trans. Note that, when AMG4PSBLAS is used with a Krylov solver from
 PSBLAS, p%apply is called within the PSBLAS method psb_krylov PSBLAS, p%apply is called within the PSBLAS method psb_krylov and hence it is
 completely transparent to the user.
-
Arguments
-   
 
+   
 
x     
type(kind_parameter), dimension(:), intent(in)—.                    

+  precision version of AMG4PSBLAS under use.
+ style="vertical-align:baseline;" id="TBL-15-3-">
+  precision version of AMG4PSBLAS under use.
+ style="vertical-align:baseline;" id="TBL-15-5-">
+  preconditioned.
+ style="vertical-align:baseline;" id="TBL-15-7-">
+class="cmr-12">for details.
+ style="vertical-align:baseline;" id="TBL-15-9-">
+class="cmr-12">).
+ style="vertical-align:baseline;" id="TBL-15-11-">
+  single/double precision version of AMG4PSBLAS under use.
 
x      
 
type(kind_parameter), dimension(:), intent(in)—.                      

 
      
 
       
 
The local part of the vector x. Note that type and kind_parameter
-must  be  chosen  according  to  the  real/complexmust  be  chosen  according  to  the  real/complex,  single/double
-precision version of AMG4PSBLAS under use.                          
                            
 
y     
type(kind_parameter), dimension(:), intent(out)—.                  
 
y      
 
type(kind_parameter), dimension(:), intent(out)—.                    

 
      
 
       
 
The local part of the vector y. Note that type and kind_parameter
-must  be  chosen  according  to  the  real/complexmust  be  chosen  according  to  the  real/complex,  single/double
-precision version of AMG4PSBLAS under use.                          
                            
 
desc_a
type(psb_desc_type), intent(in).                                     
 
desc_a 
 
type(psb_desc_type), intent(in).                                         

 
      
 
       
 
The  communication  descriptor  associated  to  the  matrix  to  be
-preconditioned.                                                                   
                                                                     
 
info  
integer, intent(out).                                                       
 
info   
 
integer, intent(out).                                                          

 
      
 
       
 
Error code. If no error, 0 is returned. See Section 7 for details.     
      
 
trans 
character(len=1), optional, intent(in).                
 
trans  
 
character(len=1), optional, intent(in).                   

 
      
If trans = ’N’,’n’ 
 
       
 
If trans = ’N’,’n’ then op()  =  B-1; if trans = ’T’,’t’
-; if trans = ’T’,’t’
+ then op((transpose of B-1); if trans = ’C’,’c’ ); if trans = ’C’,’c’ then
-op(B(conjugate transpose of B-1).                           
                            
 
work  
type(kind_parameter), dimension(:), optional, target—.            
 
work   
 
type(kind_parameter), dimension(:), optional, target—.              

 
      
Workspace.  Its  size  should  be  at  least  4 * psb_cd_get_local_
-cols(desc_a) 
 
       
 
Workspace.  Its  size  should  be  at  least  4 * psb_cd_get_local_
+ cols(desc_a) (see the PSBLAS User’s Guide). Note that type and
-kind_parameter  must be chosen according to the real/complexmust be chosen according to the real/complex,
-single/double precision version of AMG4PSBLAS under use.        
         
 
       

-                                                                               
-
-                                                                               
+ style="vertical-align:baseline;" id="TBL-15-13-">                                                                    

                                                                                
 
                                                                                
                                                                                
 
                                                                                
-   
[next] [up] 

-
   
     
  
diff --git a/docs/html/userhtmlsu14.html b/docs/html/userhtmlsu14.html
index d2f9804d..2a3663dc 100644
--- a/docs/html/userhtmlsu14.html
+++ b/docs/html/userhtmlsu14.html
@@ -10,7 +10,7 @@
  
 
-   
[next5.7    Method free
 

-

-
call p%free(p,info)

+

+
call p%free(p,info)

 

-
This method deallocates the preconditioner data structure p
This method deallocates the preconditioner data structure p.
-
Arguments
-   
 
+   
 
info  
integer, intent(out).                                            

+  details.
 
info   
 
integer, intent(out).                                               

 
      
 
       
 
Error code. If no error, 0 is returned. See Section 7 for
-details.                                                                   
                                                                    
 
       

+ style="vertical-align:baseline;" id="TBL-16-3-">                                                                  

                                                                                
 
                                                                                
                                                                                
 
                                                                                
-   
[next] [up] 

-
   
     
  
diff --git a/docs/html/userhtmlsu15.html b/docs/html/userhtmlsu15.html
index 07ff43a3..1cab8c5f 100644
--- a/docs/html/userhtmlsu15.html
+++ b/docs/html/userhtmlsu15.html
@@ -10,7 +10,7 @@
  
 
-   
[next5.8    Method descr
 

-

-
call p%descr(info, [iout, root, verbosity])

+

+
call p%descr(info, [iout, root, verbosity])

 

-
This method prints a description of the preconditioner p 
This method prints a description of the preconditioner p to the standard output or to a
 file. It must be called after hierachy_build and smoothers_build, or buildfile. It must be called after hierachy_build and smoothers_build, or build, have
 been called.
-
Arguments
-   
 
+   
 
info      
integer, intent(out).                                                

+class="cmr-12">for details.
+ style="vertical-align:baseline;" id="TBL-17-3-">
+  printed; the default is the standard output.
+ style="vertical-align:baseline;" id="TBL-17-5-">
+  will be printed; the default is psb_root_.
+ style="vertical-align:baseline;" id="TBL-17-7-">
+  matrices on every process.
 
info       
 
integer, intent(out).                                                   

 
           
 
            
 
Error code. If no error, 0 is returned. See Section 7 for details.
  
 
iout       
integer, intent(in), optional.                                 
 
iout        
 
integer, intent(in), optional.                                      

 
           
 
            
 
The id of the file where the preconditioner description will be
-printed; the default is the standard output.                       
                         
 
root       
integer, intent(in), optional.                                 
 
root        
 
integer, intent(in), optional.                                      

 
           
 
            
 
The id of the process where the preconditioner description
-will be printed; the default is psb_root_.                          
                           
 
verbosity  
integer, intent(in), optional.                                 
 
verbosity   
 
integer, intent(in), optional.                                      

 
           
 
            
 
The verbosity level of the description. Default value is 0. For
-values higher than 0, it prints out further information, e.g., for
-a distributed multilevel preconditioner the size of the coarse
-matrices on every process.                                              
                                               
 
            

+ style="vertical-align:baseline;" id="TBL-17-9-">                                                                     

                                                                                
 
                                                                                
-   
[next] [up] 

-
   
     
  
diff --git a/docs/html/userhtmlsu16.html b/docs/html/userhtmlsu16.html
index 122093bf..1caabad5 100644
--- a/docs/html/userhtmlsu16.html
+++ b/docs/html/userhtmlsu16.html
@@ -10,7 +10,7 @@
  
 
-   
[prev] 

 class="cmr-12">5.9    Auxiliary Methods
-
Various functionalities are implemented as additional methods of the preconditioner
 object.
-

+

    
5.9.1    Method: dump

 

-

-
call p%dump(info[,istart,iend,prefix,head,ac,rp,smoother,solver,global_num])

+

+
call p%dump(info[,istart,iend,prefix,head,ac,rp,smoother,solver,global_num])

 

-
Dump on file.
-
Arguments
-   
 
+   
 
info  
integer, intent(out).                                                       

+class="cmr-12">for details.
+ style="vertical-align:baseline;" id="TBL-18-3-">
+class="cmr-12">.
 
info   
 
integer, intent(out).                                                          

 
      
 
       
 
Error code. If no error, 0 is returned. See Section 7 for details.     
      
 
amold 
class(psb_x_base_sparse_mat), intent(in), optional.       
 
amold  
 
class(psb_x_base_sparse_mat), intent(in), optional.            

 
      
 
       
 
The  desired  dynamic  type  for  internal  matrix  components;  this
-allows  e.g.  running  on  GPUs;  it  needs  not  be  the  same  on  all
-processes. See the PSBLAS User’s Guide for details [2021].             
              
 
       

-

+ style="vertical-align:baseline;" id="TBL-18-5-">                                                                    

+

    
5.9.2    Method: clone

 

-

-
call p%clone(pout,info)

+

+
call p%clone(pout,info)

 

                                                                                
 
                                                                                
-
Create a (deep) copy of the preconditioner object.
-
Arguments
-   
 
+   
 
pout  
type(amg_xprec_type), intent(out).                                  

+  version of AMG4PSBLAS under use.
+ style="vertical-align:baseline;" id="TBL-19-3-">
+class="cmr-12">for details.
 
pout   
 
type(amg_xprec_type), intent(out).                                     

 
      
 
       
 
The copy of the preconditioner data structure. Note that x must
-be chosen according to the real/complexbe chosen according to the real/complex, single/double precision
-version of AMG4PSBLAS under use.                                       
                                        
 
info  
integer, intent(out).                                                       
 
info   
 
integer, intent(out).                                                          

 
      
 
       
 
Error code. If no error, 0 is returned. See Section 7 for details.     
      
 
       

-

+ style="vertical-align:baseline;" id="TBL-19-5-">                                                                    

+

    
5.9.3    Method: sizeof

 

-

-
sz = p%sizeof([global])

+

+
sz = p%sizeof([global])

 

-   
 
+   
 
global 
 
logical, optional.                                                            

+  desired. Default: .false..
 
global 
 
logical, optional.                                                               

 
      
 
       
 
Whether the global or local preconditioner memory occupation is
-desired. Default: .false..                                                     
                                                      
 
       

-
                                                                     

+Return memory footprint in bytes.
-

+

    
5.9.4    Method: allocate_wrk

 

-

-
call p%allocate_wrk(info[, vmold])

+

+
call p%allocate_wrk(info[, vmold])

 

-
Allocate internal work vectors. Each application of the preconditioner uses a number of
 work vectors which are allocated internally as necessary; therefore allocation and
@@ -308,82 +201,58 @@ class="cmr-12">notably GPUs, memory allocation is a slow operation, and the defa
 class="cmr-12">lead to a slowdown. This method allows to trade space for time by preallocating
 the internal workspace outside of the invocation of a Krylov method. When
+using GPUs or other specialized devices, the vmold argument is also necessary
                                                                                
 
                                                                                
-using GPUs or other specialized devices, the vmold argument is also necessary
 to ensure the internal work vectors are of the appropriate dynamic type to
 exploit the accelerator hardware; when allocation occurs internally this is
 taken care of based on the dynamic type of the x argument to the apply
+class="cmr-12">taken care of based on the dynamic type of the x argument to the apply
 method.
-
Arguments
-   
 
+   
 
info  
integer, intent(out).                                                       

+class="cmr-12">for details.
+ style="vertical-align:baseline;" id="TBL-21-3-">
+  allows e.g. running on GPUs.
 
info   
 
integer, intent(out).                                                          

 
      
 
       
 
Error code. If no error, 0 is returned. See Section 7 for details.     
      
 
vmold 
class(psb_x_base_vect_type), intent(in), optional.         
 
vmold  
 
class(psb_x_base_vect_type), intent(in), optional.              

 
      
 
       
 
The  desired  dynamic  type  for  internal  vector  components;  this
-allows e.g. running on GPUs.                                                 
                                                  
 
       

-

+ style="vertical-align:baseline;" id="TBL-21-5-">                                                                    

+

    
5.9.5    Method: free_wrk

 

-

-
call p%free_wrk(info)

+

+
call p%free_wrk(info)

 

-
Deallocate internal work vectors.
-
Arguments
-   
 
+   
 
info  
integer, intent(out).                                                       

+class="cmr-12">for details.
 
info   
 
integer, intent(out).                                                          

 
      
 
       
 
Error code. If no error, 0 is returned. See Section 7 for details.     
      
 
       

+ style="vertical-align:baseline;" id="TBL-22-3-">                                                                    

+                                                                               
+
+                                                                               
                                                                                
 
                                                                                
diff --git a/docs/html/userhtmlsu2.html b/docs/html/userhtmlsu2.html
index bccb1ca7..1b5f1827 100644
--- a/docs/html/userhtmlsu2.html
+++ b/docs/html/userhtmlsu2.html
@@ -10,7 +10,7 @@
  
 
-   
[next] 

 class="cmr-12">3.2    Optional third party libraries
-
We provide interfaces to the following third-party software libraries; note that these are
 optional, but if you enable them some defaults for multilevel preconditioners may
 change to reflect their presence.
-

+

      

 UMFPACK 

+     
[1516] A sparse LU factorization package included in the SuiteSparse
+class="cmr-12">A sparse LU factorization package included in the SuiteSparse library,
      library, available from available  from  faculty.cse.tamu.edu/davis/suitesparse.html;
@@ -60,36 +61,38 @@ class="cmr-12">double   precision   real   and   complex   data.   We   tested
 class="cmr-12">of   SuiteSparse.   Note   that   for   configuring   SuiteSparse   you   should
      provide  the  right  path  to  the  BLAS  and  LAPACK  libraries  in  the
-     SuiteSparse_config/SuiteSparse_config.mk SuiteSparse_config/SuiteSparse_config.mk file.
      

 MUMPS 

+     
[2]    A    sparse    LU    factorization    package    available    from
-     ] A sparse LU factorization package available from mumps.enseeiht.fr; it provides sequential and parallel factorizations and
+class="cmr-12">;
      triangular system solution for single and double precision, real and complex
+class="cmr-12">it  provides  sequential  and  parallel  factorizations  and  triangular  system
      data. We tested versions 4.10.0 and 5.0.1.
+class="cmr-12">solution for single and double precision, real and complex data. We tested
+     versions 4.10.0 and 5.0.1.
      

 SuperLU 

+     
[1617]    A    sparse    LU    factorization    package    available    from
-     A    sparse    LU    factorization    package    available    from    
+crd.lbl.gov/~remember to define the BLASLIB variable in the make.inc file.SuperLU_Dist 

+     
[26] A sparse LU factorization package available from the same
+class="cmr-12">28]  A  sparse  LU  factorization  package  available  from  the  same  site  as
      site as SuperLU; it provides parallel factorization and triangular system
+class="cmr-12">SuperLU; it provides parallel factorization and triangular system solution
      solution  for  double  precision  real  and  complex  data.  We  tested  versions
+class="cmr-12">for  double  precision  real  and  complex  data.  We  tested  versions  3.3  and
      3.3 and 4.2. If you installed BLAS from ATLAS, remember to define the
-     BLASLIB variable in the make.inc file and to add the -std=c99 option to
+class="cmr-12">4.2. If you installed BLAS from ATLAS, remember to define the BLASLIB
+                                                                               
+
+                                                                               
      the C compiler options. Note that this library requires the ParMETIS library
+class="cmr-12">variable  in  the  make.inc  file  and  to  add  the  -std=c99 option  to  the  C
      for parallel graph partitioning and fill-reducing matrix ordering, available
+class="cmr-12">compiler options. Note that this library requires the ParMETIS library for
      from parallel graph partitioning and fill-reducing matrix ordering, available from
+     glaros.dtc.umn.edu/gkhome/metis/parmetis/overview.

                                                                                
 
                                                                                
-   
[next] [up] 

-
   
     
  
diff --git a/docs/html/userhtmlsu3.html b/docs/html/userhtmlsu3.html
index 4c9d0541..72e309b1 100644
--- a/docs/html/userhtmlsu3.html
+++ b/docs/html/userhtmlsu3.html
@@ -10,7 +10,7 @@
  
 
-   
[next] 

 class="cmr-12">3.3    Configuration options
-
In order to build AMG4PSBLAS, the first step is to use the configure 
In order to build AMG4PSBLAS, the first step is to use the configure script in the
 main directory to generate the necessary makefile.
-
   
   As a minimal example consider the following:
                                                                                
 
                                                                                
-   
+   
 ./configure --with-psblas=PSB-INSTALL-DIR
 

-
 
 which assumes that the various MPI compilers and support libraries are available in
 the standard directories on the system, and specifies only the PSBLAS install directory
 (note that the latter directory must be specified with an absolute path). The full set of
-options may be looked at by issuing the command ./configure --help, which
-produces: 

-
-    
‘configure’ configures AMG4PSBLAS 1.0.0 to adapt to many kinds of systems. 
 
Usage: ./configure [OPTION]... [VAR=VALUE]... 
 
To assign environment variables (e.g., CC, CFLAGS...), specify them as 
VAR=VALUE.  See below for descriptions of some of the useful variables. 
 
Defaults for the options are specified in brackets. 
 
Configuration: 
  -h, --help              display this help and exit 
      --help=short        display options specific to this package 
      --help=recursive    display the short help of all the included packages 
  -V, --version           display version information and exit 
  -q, --quiet, --silent   do not print ‘checking ...’ messages 
      --cache-file=FILE   cache test results in FILE [disabled] 
  -C, --config-cache      alias for ‘--cache-file=config.cache’ 
  -n, --no-create         do not create output files 
      --srcdir=DIR        find the sources in DIR [configure dir or ‘..’] 
 
Installation directories: 
  --prefix=PREFIX         install architecture-independent files in PREFIX 
                          [/usr/local] 
  --exec-prefix=EPREFIX   install architecture-dependent files in EPREFIX 
                          [PREFIX] 
 
By default, ‘make install’ will install all the files in 
‘/usr/local/bin’, ‘/usr/local/lib’ etc.  You can specify 
an installation prefix other than ‘/usr/local’ using ‘--prefix’, 
for instance ‘--prefix=$HOME’. 
 
For better control, use the options below. 
 
Fine tuning of the installation directories: 
  --bindir=DIR            user executables [EPREFIX/bin] 
  --sbindir=DIR           system admin executables [EPREFIX/sbin] 
  --libexecdir=DIR        program executables [EPREFIX/libexec] 
  --sysconfdir=DIR        read-only single-machine data [PREFIX/etc] 
  --sharedstatedir=DIR    modifiable architecture-independent data [PREFIX/com] 
  --localstatedir=DIR     modifiable single-machine data [PREFIX/var] 
  --libdir=DIR            object code libraries [EPREFIX/lib] 
  --includedir=DIR        C header files [PREFIX/include] 
  --oldincludedir=DIR     C header files for non-gcc [/usr/include] 
  --datarootdir=DIR       read-only arch.-independent data root [PREFIX/share] 
  --datadir=DIR           read-only architecture-independent data [DATAROOTDIR] 
  --infodir=DIR           info documentation [DATAROOTDIR/info] 
  --localedir=DIR         locale-dependent data [DATAROOTDIR/locale] 
  --mandir=DIR            man documentation [DATAROOTDIR/man] 
  --docdir=DIR            documentation root [DATAROOTDIR/doc/amg4psblas] 
  --htmldir=DIR           html documentation [DOCDIR] 
  --dvidir=DIR            dvi documentation [DOCDIR] 
  --pdfdir=DIR            pdf documentation [DOCDIR] 
  --psdir=DIR             ps documentation [DOCDIR] 
 
Program names: 
  --program-prefix=PREFIX            prepend PREFIX to installed program names 
  --program-suffix=SUFFIX            append SUFFIX to installed program names 
  --program-transform-name=PROGRAM   run sed PROGRAM on installed program names 
 
Optional Features: 
  --disable-option-checking  ignore unrecognized --enable/--with options 
  --disable-FEATURE       do not include FEATURE (same as --enable-FEATURE=no) 
  --enable-FEATURE[=ARG]  include FEATURE [ARG=yes] 
  --enable-silent-rules   less verbose build output (undo: "make V=1") 
  --disable-silent-rules  verbose build output (undo: "make V=0") 
  --enable-dependency-tracking 
                          do not reject slow dependency extractors 
  --disable-dependency-tracking 
                          speeds up one-time build 
  --enable-serial         Specify whether to enable a fake mpi library to run 
                          in serial mode. 
 
Optional Packages: 
  --with-PACKAGE[=ARG]    use PACKAGE [ARG=yes] 
  --without-PACKAGE       do not use PACKAGE (same as --with-PACKAGE=no) 
  --with-psblas=DIR       The install directory for PSBLAS, for example, 
                     path). The full set of
+options may be looked at by issuing the command ./configure --help, which
+produces:  
‘configure’ configures AMG4PSBLAS 1.0.0 to adapt to many kinds of systems. 
+ 
+Usage: ./configure [OPTION]... [VAR=VALUE]... 
+ 
+To assign environment variables (e.g., CC, CFLAGS...), specify them as 
+VAR=VALUE.  See below for descriptions of some of the useful variables. 
+ 
+Defaults for the options are specified in brackets. 
+ 
+Configuration: 
+  -h, --help     --with-psblas=/opt/packages/psblas-3.5 
  --with-psblas-incdir=DIR 
       display this help and exit 
+      --help=short        display options specific to this package 
+      --help=recursive    display the short help of all the included packages 
+  -V, --version  Specify the directory for PSBLAS C includes. 
  --with-psblas-moddir=DIR 
 display version information and exit 
+  -q, --quiet, --silent   do not print ‘checking ...’ messages 
+      --cache-file=FILE   cache test results in FILE [disabled] 
+  -C, --config-cache      alias for ‘--cache-file=config.cache’ 
+  -n, --no-create         do not create output files 
+      --srcdir=DIR      Specify the find the sources in DIR [configure dir or ‘..’] 
+ 
+Installation directories: 
+ directory --prefix=PREFIX  for PSBLAS Fortran modules. 
  --with-psblas-libdir=DIR 
  install architecture-independent files in PREFIX 
+       Specify [/usr/local] 
+ the --exec-prefix=EPREFIX   install architecture-dependent files in EPREFIX 
+ directory for PSBLAS library. 
  --with-ccopt       additional [CCOPT] flags to be added: will prepend 
 [PREFIX] 
+ 
+By default, ‘make install’ will install all the files in 
+‘/usr/local/bin’, ‘/usr/local/lib’ etc.  You can specify 
+an installation prefix other than ‘/usr/local’ using ‘--prefix’, 
+for instance ‘--prefix=$HOME’. 
+ 
+For better control, use the options below. 
+ 
+Fine tuning of the installation directories: 
+  --bindir=DIR         user executables [EPREFIX/bin] 
+  --sbindir=DIR         system admin executables [EPREFIX/sbin] 
+  --libexecdir=DIR     to [CCOPT] 
  program executables [EPREFIX/libexec] 
+ --with-fcopt --sysconfdir=DIR        read-only single-machine data [PREFIX/etc] 
+  --sharedstatedir=DIR    modifiable architecture-independent data [PREFIX/com] 
+  --localstatedir=DIR     modifiable single-machine data [PREFIX/var] 
+  --libdir=DIR    additional [FCOPT] flags to be added: will prepend 
 object code libraries [EPREFIX/lib] 
+  --includedir=DIR        C header files [PREFIX/include] 
+  --oldincludedir=DIR     C header files for non-gcc [/usr/include] 
+  --datarootdir=DIR       read-only arch.-independent data root [PREFIX/share] 
+  --datadir=DIR         read-only architecture-independent data [DATAROOTDIR] 
+  --infodir=DIR  to [FCOPT] 
  --with-libs      info documentation [DATAROOTDIR/info] 
+  --localedir=DIR        List locale-dependent data [DATAROOTDIR/locale] 
+ additional --mandir=DIR  link flags here. For example, 
      man documentation [DATAROOTDIR/man] 
+  --docdir=DIR         documentation root [DATAROOTDIR/doc/amg4psblas] 
+  --htmldir=DIR        --with-libs=-lspecial_system_lib html documentation [DOCDIR] 
+ or 
 --dvidir=DIR         dvi documentation [DOCDIR] 
+  --pdfdir=DIR         pdf documentation [DOCDIR] 
+  --psdir=DIR     --with-libs=-L/path/to/libs 
  --with-clibs      ps documentation [DOCDIR] 
+ 
+Program names: 
+  --program-prefix=PREFIX       additional [CLIBS] flags to be prepend PREFIX to installed program names 
+ added: --program-suffix=SUFFIX  will prepend 
        append SUFFIX to installed program names 
+  --program-transform-name=PROGRAM   run sed PROGRAM on installed program names 
+ 
+Optional Features: 
+  --disable-option-checking  ignore unrecognized --enable/--with options 
+  --disable-FEATURE       do not include FEATURE (same as --enable-FEATURE=no) 
+  --enable-FEATURE[=ARG]  include FEATURE [ARG=yes] 
+  --enable-silent-rules   less verbose build output (undo: "make V=1") 
+  --disable-silent-rules  verbose build output (undo: "make V=0") 
+  --enable-dependency-tracking 
+      to [CLIBS] 
  --with-flibs       additional [FLIBS] flags to be do not reject slow dependency extractors 
+ added: --disable-dependency-tracking 
+ will prepend 
        speeds up one-time build 
+  --enable-serial   to [FLIBS] 
  --with-library-path   Specify whether to enable a fake mpi library to run 
+   additional [LIBRARYPATH] flags to be added: will 
        in serial mode. 
+ 
+Optional Packages: 
+  --with-PACKAGE[=ARG]    use PACKAGE [ARG=yes] 
+  --without-PACKAGE       do not use PACKAGE (same as --with-PACKAGE=no) 
+  --with-psblas=DIR   prepend to [LIBRARYPATH] 
  The install directory for PSBLAS, for example, 
+ --with-include-path     additional [INCLUDEPATH] flags to be added: will 
        --with-psblas=/opt/packages/psblas-3.5 
+  --with-psblas-incdir=DIR 
+       prepend to [INCLUDEPATH] 
  --with-module-path      additional [MODULE_PATH] flags to Specify the directory for PSBLAS C includes. 
+ be --with-psblas-moddir=DIR 
+ added: will 
        Specify the directory for PSBLAS Fortran modules. 
+  --with-psblas-libdir=DIR 
+  prepend to [MODULE_PATH] 
  --with-extra-libs       List additional link flags here. For example, 
       Specify the directory for PSBLAS library. 
+  --with-ccopt         additional [CCOPT] flags to be added: will prepend 
+       --with-extra-libs=-lspecial_system_lib or 
        to [CCOPT] 
+  --with-fcopt        --with-extra-libs=-L/path/to/libs 
 additional [FCOPT] flags to be added: will prepend 
+  --with-blas=<lib>       use BLAS library <lib> 
  --with-blasdir=<dir>    search for BLAS library in <dir> 
  --with-lapack=<lib> to [FCOPT] 
+  --with-libs     use LAPACK library <lib> 
  --with-mumps=LIBNAME   List additional link flags here. For example, 
+  Specify the libname for MUMPS. Default: autodetect 
        --with-libs=-lspecial_system_lib or 
+       with minimum "-lmumps_common -lpord" 
  --with-mumpsdir=DIR     Specify the directory for MUMPS library and 
 --with-libs=-L/path/to/libs 
+  --with-clibs         additional [CLIBS] flags to be added: will prepend 
+       includes. Note: you will need to add auxiliary 
    to [CLIBS] 
+  --with-flibs         additional [FLIBS] flags to be added: will prepend 
+       libraries with --extra-libs; this depends on how 
        to [FLIBS] 
+  --with-library-path     additional [LIBRARYPATH] flags to be added: will 
+       MUMPS was configured and installed, at a minimum prepend to [LIBRARYPATH] 
+ you 
 --with-include-path     additional [INCLUDEPATH] flags to be added: will 
+        prepend to [INCLUDEPATH] 
+ will --with-module-path      additional [MODULE_PATH] flags to be added: will 
+ need SCALAPACK and BLAS 
  --with-mumpsincdir=DIR  Specify the directory for MUMPS includes. 
  --with-mumpsmoddir=DIR  Specify the directory for MUMPS Fortran modules. 
  --with-mumpslibdir=DIR prepend to [MODULE_PATH] 
+  --with-extra-libs  Specify the directory for MUMPS List additional link flags here. For example, 
+ library. 
  --with-umfpack=LIBNAME  Specify the library name for UMFPACK and its support 
        --with-extra-libs=-lspecial_system_lib or 
+       libraries. Default: "-lumfpack -lamd" 
  --with-umfpackdir=DIR   Specify the directory for --with-extra-libs=-L/path/to/libs 
+ UMFPACK --with-blas=<lib>  library and 
    use BLAS library <lib> 
+  --with-blasdir=<dir>    search for BLAS library in <dir> 
+  --with-lapack=<lib>     use LAPACK library <lib> 
+  --with-mumps=LIBNAME    Specify the libname for MUMPS. Default: autodetect 
+       includes. 
  --with-umfpackincdir=DIR 
    with minimum "-lmumps_common -lpord" 
+  --with-mumpsdir=DIR     Specify the directory for MUMPS library and 
+       Specify the directory for includes. Note: you will need to add auxiliary 
+ UMFPACK includes. 
  --with-umfpacklibdir=DIR 
        libraries with --extra-libs; this depends on how 
+     Specify the directory for UMFPACK library. 
  --with-superlu=LIBNAME  Specify the library name for SUPERLU library. 
      MUMPS was configured and installed, at a minimum you 
+       Default: "-lsuperlu" 
  --with-superludir=DIR  will need SCALAPACK and BLAS 
+  --with-mumpsincdir=DIR  Specify the directory for MUMPS includes. 
+ Specify --with-mumpsmoddir=DIR  Specify the directory for MUMPS Fortran modules. 
+ the --with-mumpslibdir=DIR  Specify the directory for MUMPS library. 
+ directory --with-umfpack=LIBNAME  Specify the library name for UMFPACK and its support 
+ for SUPERLU library and 
        libraries. Default: "-lumfpack -lamd" 
+  --with-umfpackdir=DIR   Specify the directory for UMFPACK library and 
+    includes. 
  --with-superluincdir=DIR 
        includes. 
+  --with-umfpackincdir=DIR 
+      Specify the directory for SUPERLU includes. 
  --with-superlulibdir=DIR 
        Specify the directory for UMFPACK includes. 
+  --with-umfpacklibdir=DIR 
+       Specify the directory for SUPERLU library. 
  --with-superludist=LIBNAME 
      Specify the directory for UMFPACK library. 
+  --with-superlu=LIBNAME  Specify the library name for SUPERLU library. 
+       Specify the libname for SUPERLUDIST library. 
 Default: "-lsuperlu" 
+  --with-superludir=DIR   Specify the directory for SUPERLU library and 
+       Requires includes. 
+ you --with-superluincdir=DIR 
+ also specify SuperLU. Default: 
        Specify the directory for SUPERLU includes. 
+  --with-superlulibdir=DIR 
+    "-lsuperlu_dist" 
  --with-superludistdir=DIR 
        Specify the directory for SUPERLU library. 
+  --with-superludist=LIBNAME 
+      Specify the directory for SUPERLUDIST library and 
        Specify the libname for SUPERLUDIST library. 
+       includes. 
  --with-superludistincdir=DIR 
        Requires you also specify SuperLU. Default: 
+       Specify the directory for SUPERLUDIST includes. 
  --with-superludistlibdir=DIR 
   "-lsuperlu_dist" 
+  --with-superludistdir=DIR 
+       Specify the directory Specify the directory for SUPERLUDIST library and 
+ for SUPERLUDIST library. 
 
Some influential environment variables: 
  FC       Fortran compiler command 
  FCFLAGS    includes. 
+  --with-superludistincdir=DIR 
+ Fortran compiler flags 
  LDFLAGS     linker flags, e.g. -L<lib dir> if you have libraries in a 
      Specify the directory for SUPERLUDIST includes. 
+  --with-superludistlibdir=DIR 
+       nonstandard directory <lib dir> 
  LIBS       libraries to pass to the Specify the directory for SUPERLUDIST library. 
+ 
+Some influential environment variables: 
+ linker, FC  e.g. -l<library> 
  CC     Fortran compiler command 
+  FCFLAGS     Fortran compiler flags 
+  LDFLAGS     linker flags, e.g. -L<lib dir> if you have libraries in a 
+ C compiler command 
  CFLAGS      C compiler flags 
 nonstandard directory <lib dir> 
+  LIBS  CPPFLAGS    (Objective) C/C++ libraries to pass to the linker, e.g. -l<library> 
+ preprocessor CC  flags, e.g. -I<include dir> if 
    C compiler command 
+  CFLAGS      C compiler flags 
+  CPPFLAGS    (Objective) C/C++ preprocessor flags, e.g. -I<include dir> if 
+     you have headers in a nonstandard directory <include dir> 
 you have headers in a nonstandard directory <include dir> 
+  MPICC   MPICC      MPI C compiler command 
 MPI C compiler command 
+  MPIFC     MPIFC    MPI Fortran compiler command 
 MPI Fortran compiler command 
+  CPP         C preprocessor 
 
Use these variables to override the choices made by ‘configure’ or to help 
it to find libraries and programs with nonstandard names/locations. 
 
Report bugs to <https://github.com/psctoolkit/psctoolkit/issues>.
-   
-   

-
For instance, if a user has built and installed PSBLAS 3.7 under the /opt  CPP         C preprocessor 
+ 
+Use these variables to override the choices made by ‘configure’ or to help 
+it to find libraries and programs with nonstandard names/locations. 
+ 
+Report bugs to <https://github.com/psctoolkit/psctoolkit/issues>.
+   

+
For instance, if a user has built and installed PSBLAS 3.7 under the /opt directory and is
 using the SuiteSparse package (which includes UMFPACK), then AMG4PSBLAS
@@ -4247,60 +3602,51 @@ class="cmr-12">might be configured with:
                                                                                
 
                                                                                
-   
+   
 ./configure --with-psblas=/opt/psblas-3.7/ \
 --with-umfpackincdir=/usr/include/suitesparse/
 

-
 
 Once the configure script has completed execution, it will have generated the file
-Make.inc Make.inc which will then be used by all Makefiles in the directory tree; this file will be
 copied in the install directory under the name Make.inc.AMG4PSBLAScopied in the install directory under the name Make.inc.AMG4PSBLAS.
-
   
   To use the MUMPS solver package, the user has to add the appropriate options to
 the configure script; by default we are looking for the libraries -ldmumps -lsmumps
- -lzmumps -lcmumps -mumps_common -lpordthe configure script; by default we are looking for the libraries -ldmumps -lsmumps
+ -lzmumps -lcmumps -mumps_common -lpord. MUMPS often uses additional
 packages such as ScaLAPACK, ParMETIS, SCOTCH, as well as enabling OpenMP; in
 such cases it is necessary to add linker options with the --with-extra-libs such cases it is necessary to add linker options with the --with-extra-libs configure
 option.
-
   
   To build the library the user will now enter
                                                                                
 
                                                                                
-   
+   
 make
 

-
 
 followed (optionally) by
                                                                                
 
                                                                                
-   
+   
 make install
 

-

+

                                                                                
 
                                                                                
-   
[next] [up] 

-
   
     
  
diff --git a/docs/html/userhtmlsu4.html b/docs/html/userhtmlsu4.html
index 65623d3c..b3973b71 100644
--- a/docs/html/userhtmlsu4.html
+++ b/docs/html/userhtmlsu4.html
@@ -10,7 +10,7 @@
  
 
-   
[next] 

 class="cmr-12">3.4    Bug reporting
-
If you find any bugs in our codes, please report them through our issues page
 on
 https://github.com/psctoolkit/psctoolkit/issues

-
   
   To enable us to track the bug, please provide a log from the failing application, the
 test conditions, and ideally a self-contained test program reproducing the
@@ -48,7 +48,7 @@ class="cmr-12">issue.
                                                                                
 
                                                                                
-   
[next] [up] 

-
   
     
  
diff --git a/docs/html/userhtmlsu5.html b/docs/html/userhtmlsu5.html
index 2451872d..1f076b42 100644
--- a/docs/html/userhtmlsu5.html
+++ b/docs/html/userhtmlsu5.html
@@ -10,7 +10,7 @@
  
 
-   
[prev] 

 class="cmr-12">3.5    Example and test programs
-
The package contains a samples directory, divided in two subdirs simple 
The package contains a samples directory, divided in two subdirs simple and
-advanced; both of them are further divided into fileread and pdegen advanced; both of them are further divided into fileread and pdegen subdirectories.
 Their purpose is as follows:
      

 simple 
contains a set of simple example programs with a predefined choice of
+class="description">
+     
contains  a  set  of  simple  example  programs  with  a  predefined  choice  of
      preconditioners,  selectable  via  integer  values.  These  are  intended  to  get
      acquainted with the multilevel preconditioners available in AMG4P
      

 advanced 
contains a set of more sophisticated examples that will allow the user,
+class="description">
+     
contains a set of more sophisticated examples that will allow the user, via
      via the input files in the runs subdirectories, to experiment with the full
+class="cmr-12">the input files in the runs subdirectories, to experiment with the full range
      range of preconditioners implemented in the package.

-
The fileread of preconditioners implemented in the package.
+
The fileread directories contain sample programs that read sparse matrices from files,
 according to the Matrix Market or the Harwell-Boeing storage format; the pdegen
+class="cmr-12">according to the Matrix Market or the Harwell-Boeing storage format; the pdegen
 programs generate matrices in full parallel mode from the discretization of a sample
 partial differential equation.
                                                                                
 
                                                                                
+                                                                               
+
+                                                                               
+                                                                               
+
+                                                                               
    
[(see Table 1). This preconditioner is chosen by simply specifying ’ML’ ). This preconditioner is chosen by simply specifying ’ML’ as the
 second argument of P%init (a call to P%set second argument of P%init (a call to P%set is not needed) and is applied
 with the CG solver provided by PSBLAS (the matrix of the system to be
 solved is assumed to be positive definite). As previously observed, the modules
-psb_base_mod, amg_prec_mod and psb_krylov_mod psb_base_mod, amg_prec_mod and psb_krylov_mod must be used by the example
 program.
@@ -75,12 +63,9 @@ class="cmr-12">through the PSBLAS routines for sparse matrix and vector manageme
 is not reported here for the sake of conciseness. The complete code can be
 found in the example program file amg_dexample_ml.f90found in the example program file amg_dexample_ml.f90, in the directory
-samples/simple/fileread samples/simple/fileread of the AMG4PSBLAS implementation (see Section 3.5). A
 sample test problem along with the relevant input data is available in
-samples/simple/fileread/runssamples/simple/fileread/runs. For details on the use of the PSBLAS routines, see
 the PSBLAS User’s Guide [2021].
                                                                                
@@ -114,9 +98,7 @@ class="cmr-12">5 for
 details). If these versions are installed, the corresponding codes are available in
-samples/simple/filereadsamples/simple/fileread.
                                                                                
 
@@ -133,7 +115,7 @@ class="cmr-12">.
                                                                                
 
                                                                                
-
+
   use psb_base_mod
   use amg_prec_mod
   use psb_krylov_mod
@@ -167,6 +149,7 @@ class="cmr-12">.
 ! build the preconditioner
   call P%hierarchy_build(A,desc_A,info)
   call P%smoothers_build(A,desc_A,info)
+
 !
 ! set the solver parameters and the initial guess
   ... ...
@@ -185,10 +168,10 @@ class="cmr-12">.
   call psb_exit(ctxt)
   stop
 

-
                                                                               
+
                                                                       

+                                                                               
 
                                                                                
-

 
 
Listing 1: setup and application of the default multilevel preconditioner (example 1).
@@ -216,10 +199,7 @@ class="cmr-12">sweeps. Note that the ILU(0) factorization (plus triangular solve
 class="cmr-12">local solver for the block-Jacobi sweeps, since this is the default associated
 with block-Jacobi and set by P%init P%init. Furthermore, specifying block-Jacobi as
 coarsest-level solver implies that the coarsest-level matrix is distributed among
@@ -255,8 +235,7 @@ href="#x15-14003r3">3 are included in the example program
 file amg_dexample_ml.f90 file amg_dexample_ml.f90 too.
 
   Finally, Figurei.e., RAS with overlap 2. Note also that a Krylov method differen
 class="cmr-12">must be used to solve the preconditioned system, since the preconditione in
 nonsymmetric. The corresponding example program is available in the file
-amg_dexample_1lev.f90amg_dexample_1lev.f90.
 
   For all the previous preconditioners, example programs where the sparse matrix
 and the right-hand side are generated by discretizing a PDE with Dirichlet
 boundary conditions are also available in the directory samples/simple/pdegenboundary conditions are also available in the directory samples/simple/pdegen.
                                                                                
 
@@ -293,7 +270,7 @@ class="cmr-12">.
 

 

-
+
 ... ...
 ! build a V-cycle preconditioner with 1 block-Jacobi sweep (with
 ! ILU(0) on the blocks) as pre- and post-smoother, and 8  block-Jacobi
@@ -306,7 +283,7 @@ class="cmr-12">.
   call P%smoothers_build(A,desc_A,info)
 ... ...
 

-

+
                                                                       

 
Listing 2: setup of a multilevel preconditioner based on the default decoupled coarsening

@@ -326,7 +303,7 @@ class="content">setup of a multilevel preconditioner based on the default decoup
 

 

-
+
 ... ...
 ! build a W-cycle preconditioner with 2 hybrid Gauss-Seidel sweeps
 ! as pre- and post-smoother, a distributed coarsest
@@ -345,7 +322,7 @@ class="content">setup of a multilevel preconditioner based on the default decoup
   call P%smoothers_build(A,desc_A,info)
 ... ...
 

-

+
                                                                       

 
 
Listing 3: setup of a multilevel preconditioner based on the coupled coarsening using
@@ -366,7 +343,7 @@ weighted matching

 

 

-
+
 ... ...
 ! set RAS with overlap 2 and ILU(0) on the local blocks
   call P%init(ctxt,’AS’,info)
@@ -376,7 +353,7 @@ weighted matching

 ! solve Ax=b with preconditioned BiCGSTAB
   call psb_krylov(’BICGSTAB’,A,P,b,x,tol,desc_A,info)
 

-

+
                                                                       

 
 
Listing 4: setup of a one-level Schwarz preconditioner.

diff --git a/docs/html/userhtmlsu7.html b/docs/html/userhtmlsu7.html
index 29573365..8d3ac269 100644
--- a/docs/html/userhtmlsu7.html
+++ b/docs/html/userhtmlsu7.html
@@ -33,8 +33,7 @@ class="cmr-12">The code discussed here shows how to set up a program exploiting
 capabilities of PSBLAS and AMG4PSBLAS. The code example is available in the
 source distribution directory amg4psblas/examples/gpusource distribution directory amg4psblas/examples/gpu.
 
   First of all, we need to include the appropriate modules and declare some auxiliary
@@ -52,7 +51,7 @@ class="cmr-12">variables:
 

 

-
+
 program amg_dexample_gpu
   use psb_base_mod
   use amg_prec_mod
@@ -67,9 +66,10 @@ program amg_dexample_gpu
   type(psb_d_hlg_sparse_mat) :: agmold
   type(psb_d_vect_gpu)       :: vgmold
   type(psb_i_vect_gpu)       :: igmold
+
  
 

-

+
                                                                       

 
 
Listing 5: setup of a GPU-enabled test program part one.

@@ -78,8 +78,7 @@ class="content">setup of a GPU-enabled test program part one.
   In this particular example we are choosing to employ a HLG In this particular example we are choosing to employ a HLG data structure for
 sparse matrices on GPUs; for more information please refer to the PSBLAS-EXT users’
@@ -103,7 +102,7 @@ class="cmr-12">guides).
 

 

-
+
   call psb_init(ctxt)
   call psb_info(ctxt,iam,np)
   !
@@ -114,9 +113,10 @@ class="cmr-12">guides).
   ......
   t1 = psb_wtime()
   call prec%smoothers_build(a,desc_a,info, amold=agmold, vmold=vgmold, imold=igmold)
+
  
 

-

+
                                                                       

 
 
Listing 6: setup of a GPU-enabled test program part two.

@@ -144,11 +144,12 @@ class="cmr-12">GPU environment
 

 

-
+
   call desc_a%cnv(mold=igmold)
   call a%cscnv(info,mold=agmold)
   call psb_geasb(x,desc_a,info,mold=vgmold)
   call psb_geasb(b,desc_a,info,mold=vgmold)
+
   !
   ! iterative method parameters
   !
@@ -161,13 +162,15 @@ class="cmr-12">GPU environment
   call prec%deallocate_wrk(info)
   call psb_barrier(ctxt)
   tslv = psb_wtime() - t1
+
   ......
   call psb_gpu_exit()
   call psb_exit(ctxt)
   stop
+
  
 

-

+
                                                                       

 
 
Listing 7: setup of a GPU-enabled test program part three.

@@ -182,21 +185,21 @@ class="cmr-12">GPU, i.e. methods that do NOT employ triangular system solve kern
 satisfy this constraint include:
      
    
-     
  • JACOBI
+     
  • 
+     
    JACOBI
      
    • 
-     
  • BJAC 
+     
    BJAC with the following methods on the local blocks:
           
      
-          
    • INVK
+          
    • 
+          
      INVK
           
      • 
-          
    • INVT
+          
    • 
+          
      INVT
           
      • 
-          
    • AINV
    
+          
  • 
+          
    AINV

      
 
and their variants.
                                                                                
 
                                                                                
+                                                                               
+
+                                                                               
    
[Method init
 

 

-
call p%init(contxt,ptype,info)

+
call p%init(contxt,ptype,info)

 
This method allocates and initializes the preconditioner pThis method allocates and initializes the preconditioner p, according to the
 preconditioner type chosen by the user.
 
Arguments
    
 
+class="td11"> 
contxt 
       

+class="cmr-12">.
+class="td11"> 
       

+class="td11"> 
info   

+class="cmr-12">for details.
contxt 
 
type(psb_ctxt_type), intent(in).                                     
 
type(psb_ctxt_type), intent(in).                                         

 
      
The communication context.                                                  
  
The communication context.                                                   
ptype  
 
character(len=*), intent(in)  
ptype  
  
character(len=*), intent(in) .

 
      
 
       
 
The type of preconditioner. Its values are specified in Table 1.     
       
 
      
Note that strings are case insensitive.                                      
 
Note that strings are case insensitive.                                        

 
info  
integer, intent(out).                                                       
 
integer, intent(out).                                                          

 
      
 
       
 
Error code. If no error, 0 is returned. See Section 7 for details.     
      
 
       

+class="td11">                                                                    

                                                                                
 
                                                                                
diff --git a/docs/html/userhtmlsu9.html b/docs/html/userhtmlsu9.html
index 051cae54..d2d688ad 100644
--- a/docs/html/userhtmlsu9.html
+++ b/docs/html/userhtmlsu9.html
@@ -34,40 +34,13 @@ class="cmr-12">Method set
 

 

-
call p%set(what,val,info [,ilev, ilmax, pos, idx])

+
call p%set(what,val,info [,ilev, ilmax, pos, idx])

 
This method sets the parameters defining the preconditioner pThis method sets the parameters defining the preconditioner p. More precisely, the
 parameter identified by what is assigned the value contained in valparameter identified by what is assigned the value contained in val.
 
Arguments
@@ -75,25 +48,20 @@ class="cmbx-12">Arguments
 
                                                                                
    
 
+class="td11"> 
what   

+class="cmr-12">.
+ real(psb_dpk_), intent(in).
+  is of type character(len=*), it is also treated as case insensitive.
+class="td11"> 
info   

+class="cmr-12">for details.
+class="td11"> 
ilev   

+class="cmr-12">).
+class="td11"> 
ilmax  

+  one, i.e., level 1 is the finest level.
+class="td11"> 
pos    

+  not concern the smoothers, posis ignored.
+class="td11"> 
idx    

-    
what  
character(len=*).                                                             
 
character(len=*).                                                               

 
      
 
       
 
The parameter to be set. It can be specified through its name; the
-string is case-insensitive. See Tables 2-8.                                  
                                   
 
val   
integer   or    character(len=*)   or    real(psb_spk_)    
val     
 
integer   or    character(len=*)   or    real(psb_spk_)   or
-real(psb_dpk_), intent(in).                                               
                                                
 
      
 
       
 
The value of the parameter to be set. The list of allowed values and
-the corresponding data types is given in Tables -8. When the value
-is of type character(len=*), it is also treated as case insensitive.
  
 
info  
integer, intent(out).                                                       
 
integer, intent(out).                                                          

 
      
 
       
 
Error code. If no error, 0 is returned. See Section 7 for details.     
      
 
ilev  
integer, optional, intent(in).                                         
 
integer, optional, intent(in).                                             

 
      
 
       
 
For   the   multilevel   preconditioner,   the   level   at   which   the
-preconditioner parameter has to be set. The levels are numbered
-in increasing order starting from the finest one, i.e., level 1 is the
-finest level. If ilev is not present, the parameter identified by what
-finest level. If ilev is not present, the parameter identified by what
+ is set at all levels that are appropriate (see Tables 2-8).              
               
 
ilmax 
integer, optional, intent(in).                                         
 
integer, optional, intent(in).                                             

 
      
For the multilevel preconditioner, when both ilev and ilmax  
       
 
For the multilevel preconditioner, when both ilev and ilmax are
-present, the settings are applied at all levels ilev:ilmaxpresent, the settings are applied at all levels ilev:ilmax. When
-ilev is present but ilmax is not, then the default is ilmax=ilevilev is present but ilmax is not, then the default is ilmax=ilev.
-The levels are numbered in increasing order starting from the finest
-one, i.e., level 1 is the finest level.                                           
                                             
 
pos   
character(len=*), optional, intent(in).                          
 
character(len=*), optional, intent(in).                               

 
      
 
       
 
Whether  the  other  arguments  apply  only  to  the  pre-smoother
-(’PRE’) or to the post-smoother (’POST’). If pos (’PRE’) or to the post-smoother (’POST’). If pos is not present,
-the  other  arguments  are  applied  to  both  smoothers.  If  the
-preconditioner is one-level or the parameter identified by what preconditioner is one-level or the parameter identified by what does
-not concern the smoothers, pos is ignored.                               
                                  
 
idx   
integer, optional, intent(in).                                         
 
integer, optional, intent(in).                                             

 
      
 
       
 
An auxiliary input argument that can be passed to the underlying
-objects.                                                                             

+  objects.                                                                               
+                                                                                                             

 

 
   A variety of preconditioners can be obtained by setting the appropriate
@@ -334,24 +204,28 @@ class="cmr-12">preconditioner parameters. These parameters can be logically divi
 i.e., parameters defining
      
    
-     
  1. 
+     
    the type of multilevel cycle and how many cycles must be applied;
      
    2. 
-     
  2. 
+     
    the coarsening algorithm;
      
    3. 
-     
  3. the solver at the coarsest level (for multilevel preconditioners only);
-     
    4. 
-     
  4. the   smoother   of   the   multilevel   preconditioners,   or   the   one-level
                                                                                
 
                                                                                
+
  5. 
+     
    the solver at the coarsest level (for multilevel preconditioners only);
+     
    6. 
+
  6. 
+     
    the   smoother   of   the   multilevel   preconditioners,   or   the   one-level
      preconditioner.

 

 class="cmbx-12">Remark 2. A smoother is usually obtained by combining two objects: a
 smoother (’SMOOTHER_TYPE’) and a local solver (’SUB_SOLVE’smoother (’SMOOTHER_TYPE’) and a local solver (’SUB_SOLVE’), as specified in
 Tablessmoothers. However, for simplicity, shortcuts are provided to set
 point-Jacobi, hybrid (forward) Gauss-Seidel, and hybrid backward Gauss-Seidel, i.e.,
 the previous smoothers can be defined just by setting ’SMOOTHER_TYPE’ the previous smoothers can be defined just by setting ’SMOOTHER_TYPE’ to
 certain specific values (see Tables 7), without the need to set ’SUB_SOLVE’ ), without the need to set ’SUB_SOLVE’ as
 well.
@@ -464,6 +326,9 @@ class="cmr-12">layout; therefore, setting the solver after the layout may change
 class="cmr-12">distributed or replicated. Similarly, setting the layout after the solver may change the
 solver.
+                                                                               
+
+                                                                               
 
   More precisely, UMFPACK and SuperLU require the coarsest-level matrix to be
  2).
 For the point-Jacobi and Gauss-Seidel solvers, these objects correspond to a single
-                                                                               
-
-                                                                               
 point-Jacobi sweep and a single coarsest solver for using the KRM choice, i.e. a parallel distrib
 class="cmr-12">the coarsest system based on Krylov methods.
 
   Remark 4. The argument idx The argument idx can be used to allow finer control for those solvers;
 for instance, by specifying the keyword ’MUMPS_IPAR_ENTRY’ for instance, by specifying the keyword ’MUMPS_IPAR_ENTRY’ and an appropriate value
 for idxfor idx, it is possible to set any entry in the MUMPS integer control array. See also
 Sec..
 >
 

 
 s
+class="td11"> 
’ML_CYCLE’
+                    

+class="td11"> 
’CYCLE_SWEEPS’
+                    
what              
 
what               
 daa type         
val         
e          
 
val          
 
default      
t        
 
coments                                    
                                      
’ML_CYCLE’ 
character(len=*)   
’VCYCLE’
-
’WCYCLE’
-
’KCYCLE’
-
’ADD’       
’VCYCLE’    
Multilevel cycle: V-cycle, W-cycle, K-cycle,
-and additive composition.                      
 
character(len=*)                                                          
+
 
’VCYCLE’
+ 
’WCYCLE’
+ 
’KCYCLE’
+ 
’ADD’        
+
 
’VCYCLE’     
+
 
Multilevel cycle: V-cycle, W-cycle, K-cycle,
+  and additive composition.                        
+

 
’CYCLE_SWEEPS’    
integer                                                                  
Any integer
-
number ≥ 1   
1                 
Number of multilevel cycles.                   
 
integer                                                                   
+
 
Any integer
+  
number ≥ 1     
+
 
1                   
+
 
Number of multilevel cycles.                     
+

 
                  

+class="td11">                                                                                                                        

 
 
Table 2: Parameters defining the multilevel cycle and the number of cycles to be
@@ -674,7 +513,7 @@ applied. 

 
                                                                                
 
 s
+class="td11"> 
’MIN_COARSE_SIZE_PER_PROCESS’
+                               

+class="td11"> 
’MIN_COARSE_SIZE’
+                               

+class="td11"> 
’MIN_CR_RATIO’
+                               

+class="td11"> 
’MAX_LEVS’
+                               

+class="cmmi-8">T.                                             
+
+class="td11"> 
’AGGR_TYPE’
+                               

+ and ’MATCHBOXP’                    
+
+class="td11"> 
’AGGR_PROL’
+                               
Note. The aggregation algorithm stops when at least one of the following criteria is met: the coarse size threshold, 

+class="td11">
Note. The aggregation algorithm stops when at least one of the following criteria is met: the coarse size threshold, 
the minimum coarsening ratio, or the maximum number of levels is reached.

+class="td11">
the minimum coarsening ratio, or the maximum number of levels is reached.
Therefore, the actual number of levels may be smaller than the specified maximum number of levels. 

+class="td11">
Therefore, the actual number of levels may be smaller than the specified maximum number of levels. 
what                        
 
what                         
 daa type        
val        
e         
 
val         
 
default       
t        
 
coments                                  
                                    
’MIN_COARSE_SIZE_PER_PROCESS’ 
integer   
Any number
-
> 0             
200               
Coarse  size  threshold  per  process.  The
-aggregation stops if the global number of
-variables of the computed coarsest matrix
-is lower than or equal to this threshold
-multiplied  by  the  number  of  processes
-(see Note).                                        
 
integer                                                                   
+
 
Any number
+  
> 0               
+
 
200                 
+
 
Coarse  size  threshold  per  process.  The
+  aggregation stops if the global number of
+  variables of the computed coarsest matrix
+  is lower than or equal to this threshold
+  multiplied  by  the  number  of  processes
+  (see Note).                                         
+

 
’MIN_COARSE_SIZE’            
integer                                                                  
Any number
-
> 0             
-1                 
Coarse  size  threshold.  The  aggregation
-stops  if  the  global  number  of  variables
-of the computed coarsest matrix is lower
-than                   or                   equal
-to this threshold (see Note). If negative,
-it is ignored in favour of the default for
-’MIN_COARSE_SIZE_PER_PROCESS’.       
 
integer                                                                   
+
 
Any number
+  
> 0               
+
 
-1                   
+
 
Coarse  size  threshold.  The  aggregation
+  stops  if  the  global  number  of  variables
+  of the computed coarsest matrix is lower
+  than                   or                   equal
+  to this threshold (see Note). If negative,
+  it is ignored in favour of the default for
+  ’MIN_COARSE_SIZE_PER_PROCESS’.         
+

 
’MIN_CR_RATIO’               
real                                                                     
Any number
-
> 1             
1.5                
Minimum                           coarsening
-ratio. The aggregation stops if the ratio
-between the global matrix dimensions at
-two  consecutive  levels  is  lower  than  or
-equal to this threshold (see Note).         
 
real                                                                      
+
 
Any number
+  
> 1               
+
 
1.5                 
+
 
Minimum                           coarsening
+  ratio. The aggregation stops if the ratio
+  between the global matrix dimensions at
+  two  consecutive  levels  is  lower  than  or
+  equal to this threshold (see Note).          
+

 
’MAX_LEVS’                   
integer                                                                  
Any integer
-
number > 1  
20                
Maximum    number    of    levels.    The
-aggregation stops if the number of levels
-reaches this value (see Note).               
 
integer                                                                   
+
 
Any integer
+  
number > 1    
+
 
20                  
+
 
Maximum    number    of    levels.    The
+  aggregation stops if the number of levels
+  reaches this value (see Note).                 
+

 
’PAR_AGGR_ALG’               
character(len=*)                                                         
 
’PAR_AGGR_ALG’
+                               
 
character(len=*)                                                         
+
 
’DEC’,
-’SYMDEC’,
-’COUPLED’  
’DEC’       
Parallel aggregation algorithm.
-
the  SYMDEC  option  applies  decoupled
-aggregation  to  the  sparsity  pattern  of
-’COUPLED’   
+
 
’DEC’        
+
 
Parallel aggregation algorithm.
+  
the  SYMDEC  option  applies  decoupled
+  aggregation  to  the  sparsity  pattern  of
+  A + AT .                                           
 
 
’AGGR_TYPE’                  
character(len=*)                                                         
’SOC1’,
-’SOC2’,
-’MATCHBOXP’
’SOC1’      
Type of aggregation algorithm: currently,
-for                                              the
-decoupled aggregation we implement two
-measures of strength of connection, the
-one by Vaněk, Mandel and Brezina [33],
-and the one by Gratton et al [23]. The
-coupled aggregation is based on a parallel
-version of the half-approximate matching
-implemented in the MatchBox-P software
-package [9].                                      
 
character(len=*)                                                         
+
 
’SOC1’,
+  ’SOC2’,
+  ’MATCHBOXP’ 
+
 
’SOC1’       
+
 
Type of aggregation algorithm: currently,
+  for                                              the
+  decoupled aggregation we implement two
+  measures of strength of connection, the
+  one by Vaněk, Mandel and Brezina [35],
+  and the one by Gratton et al [24]. The
+  coupled aggregation is based on a parallel
+  version of the half-approximate matching
+  implemented in the MatchBox-P software
+  package [9].                                        
+

 
’AGGR_SIZE’                  
integer                                                                  
Any integer
-
power   of   2,
-with
- 
’AGGR_SIZE’
+                               
 
integer                                                                   
+
 
Any integer
+  
power   of   2,
+  with
+  aggr_size ≥
-2                
4                  
Maximum  size  of  aggregates  when  the
-coupled  aggregation  based  on  matching
-is   applied.   For   aggressive   coarsening
-with  size  of  aggregate  larger  than  8
-we  recommend  the  use  of  smoothed
-prolongators. Used only with 
 
4                    
+
 
Maximum  size  of  aggregates  when  the
+  coupled  aggregation  based  on  matching
+  is   applied.   For   aggressive   coarsening
+  with  size  of  aggregate  larger  than  8
+  we  recommend  the  use  of  smoothed
+  prolongators. Used only with ’COUPLED’
-and ’MATCHBOXP’                   

 
’AGGR_PROL’                  
character(len=*)                                                         
’SMOOTHED’,
-’UNSMOOTHED’ 
’SMOOTHED’  
Prolongator  used  by  the  aggregation
-algorithm: smoothed or unsmoothed (i.e.,
-tentative prolongator).                        
 
character(len=*)                                                         
+
 
’SMOOTHED’,
+  ’UNSMOOTHED’
+
 
’SMOOTHED’   
+
 
Prolongator  used  by  the  aggregation
+  algorithm: smoothed or unsmoothed (i.e.,
+  tentative prolongator).                          
+

 
                                    
 
                                                                                         
 
                                                       
 
                             

+class="td11">                                                                                                                                 

                                                                                
 
                                                                                
-

 
 
Table 3: Parameters defining the aggregation algorithm. 

@@ -956,7 +766,7 @@ class="content">Parameters defining the aggregation algorithm. 

 
 s
+ 
’DEGREE’     
+

+  connection algorithm. See also the note
+  at the bottom of this table.                 
+
+ 
’NOFILTER’   
+
 
Note. Different thresholds at different levels, such as those used in [33, Section 5.1], can be easily set by invoking the rou-

+href="userhtmlli5.html#XVANEK_MANDEL_BREZINA">35, Section 5.1], can be easily set by invoking the rou-
tine  
tine set with the parameter ilev.

+class="cmtt-10x-x-109">ilev.
what               
 
what                
 daa type               
val         
e                
 
val          
 
default      
t       
 
coments                                
                                  
’AGGR_ORD’ 
character(len=*)   
 
’AGGR_ORD’
+                     
 
character(len=*)                                                          
+
 
’NATURAL’
-
’DEGREE’    
’NATURAL’  
Initial    ordering    of    indices    for
-the  decoupled  aggregation  algorithm:
-either  natural  ordering  or  sorted  by
-descending degrees of the nodes in the
-matrix graph.                                 
 
’NATURAL’   
+
 
Initial    ordering    of    indices    for
+  the  decoupled  aggregation  algorithm:
+  either  natural  ordering  or  sorted  by
+  descending degrees of the nodes in the
+  matrix graph.                                   
+

 
’AGGR_THRESH’      
real(kind_parameter)                                                     
Any real
-
number  
’AGGR_THRESH’
+                     
 
real(kind_parameter)                                                      
+
 
Any real
+  
number ∈
-[0,1]             
0.01             
The  threshold  ,1]               
+
 
0.01              
+
 
The  threshold  θ  in  the  strength  of
-connection algorithm. See also the note
-at the bottom of this table.               

 
’AGGR_FILTER’      
character(len=*)                                                         
 
’AGGR_FILTER’
+                     
 
character(len=*)                                                          
+
 
’FILTER’
-
’NOFILTER’  
’NOFILTER’ 
Matrix used in computing the smoothed
-prolongator: filtered or unfiltered.       
 
’NOFILTER’  
+
 
Matrix used in computing the smoothed
+  prolongator: filtered or unfiltered.         
+

 
                 
 
                                                                                                                                     
 
                   

+class="td11">                                                                                                                           

 
 
Table 4: Parameters defining the aggregation algorithm (continued). 

@@ -1102,7 +904,7 @@ class="content">Parameters defining the aggregation algorithm (continued).  s
+class="td11"> 
’COARSE_MAT’
+                      

+  either a replicated or a distributed matrix. When
+  any of the previous solvers is specified, the matrix
+  layout is set to a default value which allows the use
+  of the solver (see Remark 3, p. 24). Note also that
+  UMFPACK and SuperLU_Dist are available only in
+  double precision.                                               
+
+  and  SuperLU_Dist  are  available  only  in  double
+  precision.                                                        
+
 
Note. Defaults for COARSE_SOLVE and COARSE_SUBSOLVE are chosen in the following order:

+class="cmtt-10x-x-109">_SUBSOLVE are chosen in the following order:
single precision version –  
single precision version – MUMPS if installed, then SLU if installed, ILU otherwise;

+class="cmtt-10x-x-109">ILU otherwise;
double precision version –  
double precision version – UMF if installed, then MUMPS if installed, then SLU if installed, ILU otherwise.

+class="cmtt-10x-x-109">ILU otherwise.

+class="small-caps">s
+ 0               
+
+  fill-in for the approximate inverses.                       
+
+  first drop-tolerance for the approximate inverses.     
+
 
Note. Further options for coarse solvers are contained in Table 6.

+href="#x19-18013r6">6.
For a first use it is suggested to use the default options obtained by simply selecting the solver type.

+class="td11">
For a first use it is suggested to use the default options obtained by simply selecting the solver type.
what               
 
what                
 daa type               
val      
e                
 
val       
 
default 
t   
 
coments                                              
                                               
’COARSE_MAT’ 
character(len=*)   
’DIST’
-
’REPL’   
’REPL’  
Coarsest  matrix  layout:  distributed  among  the
-processes or replicated on each of them.               
 
character(len=*)                                                          
+
 
’DIST’
+ 
’REPL’    
+
 
’REPL’   
+
 
Coarsest  matrix  layout:  distributed  among  the
+  processes or replicated on each of them.                
+

 
’COARSE_SOLVE’      
character(len=*)                                                         
’MUMPS’
-
’UMF’
-
’SLU’
-
’SLUDIST’
-
’ILU’
-
’JACOBI’
-
’GS’
-
’BJAC’
-
’KRM’
-
’L1-JACOBI’
-
’L1-BJAC’
-
’L1-FBGS’
See Note.
Solver   used   at   the   coarsest   level:   sequential
-LU   from   MUMPS,   UMFPACK,   or   SuperLU
-(plus   triangular   solve);   distributed   LU   from
-MUMPS or SuperLU_Dist (plus triangular solve);
-point-Jacobi, hybrid Gauss-Seidel or block-Jacobi
-and  related   
’COARSE_SOLVE’
+                      
 
character(len=*)                                                          
+
 
’MUMPS’
+ 
’UMF’
+ 
’SLU’
+ 
’SLUDIST’
+ 
’ILU’
+ 
’JACOBI’
+ 
’GS’
+ 
’BJAC’
+ 
’KRM’
+ 
’L1-JACOBI’
+ 
’L1-BJAC’
+ 
’L1-FBGS’ 
+
 
See Note.  
+
 
Solver   used   at   the   coarsest   level:   sequential
+  LU   from   MUMPS,   UMFPACK,   or   SuperLU
+  (plus   triangular   solve);   distributed   LU   from
+  MUMPS or SuperLU_Dist (plus triangular solve);
+  point-Jacobi, hybrid Gauss-Seidel or block-Jacobi
+  and  related  ℓ1-versions;  Krylov  Method  (flexible
-Conjugate Gradient) coupled with the block-Jacobi
-preconditioner  with  ILU(0)  on  the  blocks.  Note
-that  UMF and  SLU require  the  coarsest  matrix  to
-be replicated, SLUDIST, JACOBI, GS, BJAC and KRM
-require it to be distributed, MUMPS can be used with
-either a replicated or a distributed matrix. When
-any of the previous solvers is specified, the matrix
-layout is set to a default value which allows the use
-of the solver (see Remark 3, p. 24). Note also that
-UMFPACK and SuperLU_Dist are available only in
-double precision.                                             

 
’COARSE_SUBSOLVE’   
character(len=*)                                                         
’ILU’
-
’ILUT’
-
’MILU’
-
’MUMPS’
-
’SLU’
-
’UMF’
-
’INVT’
-
’INVK’
-
’AINV’   
See Note.
Solver  for  the  diagonal  blocks  of  the  coarsest
-matrix, in case the block Jacobi solver is chosen
-as coarsest-level solver: ILU( 
’COARSE_SUBSOLVE’
+                      
 
character(len=*)                                                          
+
 
’ILU’
+ 
’ILUT’
+ 
’MILU’
+ 
’MUMPS’
+ 
’SLU’
+ 
’UMF’
+ 
’INVT’
+ 
’INVK’
+ 
’AINV’    
+
 
See Note.  
+
 
Solver  for  the  diagonal  blocks  of  the  coarsest
+  matrix, in case the block Jacobi solver is chosen
+  as coarsest-level solver: ILU(p), ILU(p,t), MILU(p),
-LU   from   MUMPS,   SuperLU   or   UMFPACK
-(plus   triangular   solve),   Approximate   Inverses
-INVK(p,q), INVT(p11,t2) and AINV(t); note
-that  approximate  inverses  are  specifically  suited
-for  GPUs  since  they  do  not  employ  triangular
-system solve kernels, see [[3]. Note that UMFPACK
-and  SuperLU_Dist  are  available  only  in  double
-precision.                                                       

 
                                                                  
 
                                                                                
 
                                                   
 
what                
 
what                 
 daa type               
val      
e                
 
val       
 
default 
t   
 
coments                                              
                                               
 
’COARSE_SWEEPS’     
integer                                                                  
Any
-integer
-
number    
’COARSE_SWEEPS’
+                      
 
integer                                                                   
+
 
Any
+  integer
+  
number   >
-0             
10          
Number  of  sweeps  when  JACOBI,  GS or  BJAC is
-chosen as coarsest-level solver.                           
 
10            
+
 
Number  of  sweeps  when  JACOBI,  GS or  BJAC is
+  chosen as coarsest-level solver.                             
+

 
’COARSE_FILLIN’     
integer                                                                  
Any
-integer
-
number    
’COARSE_FILLIN’
+                      
 
integer                                                                   
+
 
Any
+  integer
+  
number   ≥
-0             
0            
Fill-in  level  
 
0             
+
 
Fill-in  level  p of  the  ILU  factorizations  and  first
-fill-in for the approximate inverses.                     

 
’COARSE_ILUTHRS’    
real(kind_parameter)                                                     
Any real
-
number    
’COARSE_ILUTHRS’
+                      
 
real(kind_parameter)                                                      
+
 
Any real
+  
number   ≥
-0             
0            
Drop tolerance 
 
0             
+
 
Drop tolerance t in the ILU(p,t) factorization and
-first drop-tolerance for the approximate inverses.   

 
                                                                                                  
 
                                                      
 
                    

+class="td11">                                                                                                                                

                                                                                
 
                                                                                
-
 
 
Table 5: Parameters defining the solver at the coarsest level (continued).

@@ -1495,7 +1205,7 @@ class="content">Parameters defining the solver at the coarsest level (continued)
 
                                                                                
 
 s
+class="td11"> 
’BJAC_STOP’
+                      

+class="td11"> 
’BJAC_TRACE’
+                      

+class="td11"> 
’BJAC_ITRACE’
+                      

+class="td11"> 
’BJAC_RESCHECK’
+                      

+class="td11"> 
’BJAC_STOPTOL’
+                      

+  Minimal  Residual  method  with  restarting.
+  Refer to the PSBLAS guide [21] for further
+  information.                                              
+
+  for the coarse Krylov solver.                         
+
+  The same caveat from Table 5 applies here.    
+
+class="td11"> 
’KRM_GLOBAL’
+                      

+class="td11"> 
The stopping tolerance.                            
 

+ methods, otherwise it is ignored.                   
+
+ the relative residual reduction in the 2-norm is
+  used instead; refer to the PSBLAS [21] guide
+  for the details.                                           
+
+class="td11"> 
’KRM_ITMAX’
+                      

+  an informational message about convergence
+  every ’KRM_ITRACE’ iterations. If = 0 print a
+  message in case of convergence failure.           
+
+  first fill-in for the approximate inverses.          
+
what               
 
what                
 daa type               
val       
e                
 
val        
 
default 
t   
 
coments                                        
                                         
’BJAC_STOP’ 
character(len=*)   
’FALSE’
-
’TRUE’    
’FALSE’ 
Select whether to use a stopping criterion for
-the  Block-Jacobi  method  used  as  a  coarse
-solver.                                                    
 
character(len=*)                                                          
+
 
’FALSE’
+ 
’TRUE’     
+
 
’FALSE’  
+
 
Select whether to use a stopping criterion for
+  the  Block-Jacobi  method  used  as  a  coarse
+  solver.                                                     
+

 
’BJAC_TRACE’        
character(len=*)                                                         
’FALSE’
-
’TRUE’    
’FALSE’ 
Select  whether  to  print  a  trace  for  the
-calculated   residual   for   the   Block-Jacobi
-method used as a coarse solver.                   
 
character(len=*)                                                          
+
 
’FALSE’
+ 
’TRUE’     
+
 
’FALSE’  
+
 
Select  whether  to  print  a  trace  for  the
+  calculated   residual   for   the   Block-Jacobi
+  method used as a coarse solver.                    
+

 
’BJAC_ITRACE’       
integer                                                                  
Any integer
-
> 0           
-1           
Number of iterations after which a trace is to
-be printed.                                              
 
integer                                                                   
+
 
Any integer
+  
> 0             
+
 
-1            
+
 
Number of iterations after which a trace is to
+  be printed.                                               
+

 
’BJAC_RESCHECK’     
integer                                                                  
Any integer
-
> 0           
-1           
Number of iterations after which a residual is
-to be calculated.                                      
 
integer                                                                   
+
 
Any integer
+  
> 0             
+
 
-1            
+
 
Number of iterations after which a residual is
+  to be calculated.                                        
+

 
’BJAC_STOPTOL’      
real(kind_parameter)                                                     
Any real
-
< 1           
0            
Tolerance  for  the  stopping  criterion  on  the
-residual.                                                 
 
real(kind_parameter)                                                      
+
 
Any real
+  
< 1             
+
 
0             
+
 
Tolerance  for  the  stopping  criterion  on  the
+  residual.                                                   
+

 
’KRM_METHOD’        
character(len=*)                                                         
’CG’
-
’FCG’
-
’CGS’
-
’CGR’
-
’BICG’
-
’BICGSTAB’
-
’BICGSTABL’
-
’RGMRES’  
’FCG’   
A string that defines the iterative method to
-be  used  when  employing  a  Krylov  method
-’KRM’ as  a  coarse  solver.   
’KRM_METHOD’
+                      
 
character(len=*)                                                          
+
 
’CG’
+ 
’FCG’
+ 
’CGS’
+ 
’CGR’
+ 
’BICG’
+ 
’BICGSTAB’
+ 
’BICGSTABL’
+ 
’RGMRES’   
+
 
’FCG’    
+
 
A string that defines the iterative method to
+  be  used  when  employing  a  Krylov  method
+  ’KRM’ as  a  coarse  solver.  CG the  Conjugate
-Gradient method; FCG the Flexible Conjugate
-Gradient method; CGS the Conjugate Gradient
-Stabilized
-method;   GCR  the   Generalized   Conjugate
-Residual method; FCG the Flexible Conjugate
-Gradient  method;  BICG  the  Bi-Conjugate
-Gradient method; BICGSTAB the Bi-Conjugate
-Gradient  Stabilized  method;  BICGSTABL the
-Bi-Conjugate   Gradient   Stabilized   method
-with   restarting;   RGMRES  the   Generalized
-Minimal  Residual  method  with  restarting.
-Refer to the PSBLAS guide [20] for further
-information.                                            

 
’KRM_KPREC’         
character(len=*)                                                         
Table 1 
’BJAC’ 
The     one-level
-preconditioners from the Table  
’KRM_KPREC’
+                      
 
character(len=*)                                                          
+
 
Table 1       
+
 
’BJAC’   
+
 
The                                            one-level
+  preconditioners from the Table 1 can be used
-for the coarse Krylov solver.                       

 
’KRM_SUB_SOLVE’     
character(len=*)                                                         
Table 5 
’ILU’ 
Solver for the diagonal blocks of the coarsest
-matrix preconditioner, in case the block Jacobi
-solver                     is                     chosen
-as ’KRM_KPREC’: ILU( 
’KRM_SUB_SOLVE’
+                      
 
character(len=*)                                                          
+
 
Table 5       
+
 
’ILU’    
+
 
Solver for the diagonal blocks of the coarsest
+  matrix preconditioner, in case the block Jacobi
+  solver                     is                     chosen
+  as ’KRM_KPREC’: ILU(p), ILU(p,t), MILU(p),
-LU  from  MUMPS,  SuperLU  or  UMFPACK
-(plus triangular solve), Approximate Inverses
-INVK(p,q), INVT(p11,t2) and AINV(t);
-The same caveat from Table 5 applies here.  

 
’KRM_GLOBAL’        
character(len=*)                                                         
’TRUE’,
-’FALSE’   
’FALSE’ 
Choose  between  a  global  Krylov  solver,  all
-unknowns on a single node, or a distributed
-one.  The  default  choice  is  the  distributed
-solver.                                                    
 
character(len=*)                                                          
+
 
’TRUE’,
+  ’FALSE’    
+
 
’FALSE’  
+
 
Choose  between  a  global  Krylov  solver,  all
+  unknowns on a single node, or a distributed
+  one.  The  default  choice  is  the  distributed
+  solver.                                                     
+

 
’KRM_EPS’           
real(kind_parameter)                                                     
Real  
’KRM_EPS’            
 
real(kind_parameter)                                                      
 
Real < 1 
10 
10-6  
The stopping tolerance.                
’KRM_IRST’          
integer                                                                  
Integer
-
≥ 1           
30          
An integer specifying the restart parameter.
-This is employed for the  
’KRM_IRST’
+                      
 
integer                                                                   
+
 
Integer
+  
≥ 1             
+
 
30            
+
 
An integer specifying the restart parameter.
+  This is employed for the BiCGSTABL or RGMRES
-methods, otherwise it is ignored.                 

 
’KRM_ISTOPC’        
integer                                                                  
Integers
-1,2,3         
2            
If   
’KRM_ISTOPC’
+                      
 
integer                                                                   
+
 
Integers
+  1,2,3           
+
 
2             
+
 
If  1 then  the  method  uses  the  normwise
-backward error in the infinity norm; if 2, the
-it uses the relative residual in the 2-norm; if 3
-the relative residual reduction in the 2-norm is
-used instead; refer to the PSBLAS [20] guide
-for the details.                                         

 
’KRM_ITMAX’         
integer                                                                  
Integer
-
≥ 1           
40          
The   maximum   number   of   iterations   to
-perform.                                                 
 
integer                                                                   
+
 
Integer
+  
≥ 1             
+
 
40            
+
 
The   maximum   number   of   iterations   to
+  perform.                                                  
+

 
’KRM_ITRACE’        
integer                                                                  
Integer
-
≥ 0           
-1           
If          
’KRM_ITRACE’
+                      
 
integer                                                                   
+
 
Integer
+  
≥ 0             
+
 
-1            
+
 
If         >             0         print         out
-an informational message about convergence
-every ’KRM_ITRACE’ iterations. If = 0 print a
-message in case of convergence failure.          

 
’KRM_FILLIN’        
integer                                                                  
Integer
-
≥ 0           
0            
Fill-in level  
’KRM_FILLIN’
+                      
 
integer                                                                   
+
 
Integer
+  
≥ 0             
+
 
0             
+
 
Fill-in level p of the ILU factorizations and
-first fill-in for the approximate inverses.        

 
                    
                                                       
+class="td11">                                                                                                                            

+                                                                               
 
                                                                                
-
 
 
Table 6: Additional parameters defining the solver at the coarsest level.

@@ -1946,7 +1571,7 @@ class="content">Additional parameters defining the solver at the coarsest level.
 >
 

 
 s
+class="cmr-10">-point-Jacobi and Additive
+  Schwarz, polynomial accelerators; see [15]
+  
It is ignored by one-level preconditioners.   
+
 

+  Note for details on hybrid Gauss-Seidel.     
+
+  respectively. Is ignored if the smoother is
+  ’POLY’                              
+
+class="cmr-10">1
+  and ≤ 30     
+
what                
 
what                 
 daa type         
val       
e           
 
val        
 
default                 
t                  
 
coments                                    
                                     
’SMOOTHER_TYPE’ 
character(len=*)   
’JACOBI’
-
’GS’
-
’BGS’
-
’BJAC’
-
’AS’
-
’L1-JACOBI’
-
’L1-BJAC’
-
’L1-FBGS’ 
’FBGS’              
 
’SMOOTHER_TYPE’
+                      
 
character(len=*)                                                                 
+
 
’JACOBI’
+ 
’GS’
+ 
’BGS’
+ 
’BJAC’
+ 
’AS’
+ 
’L1-JACOBI’
+ 
’L1-BJAC’
+ 
’L1-FBGS’
+ 
’POLY’     
+
 
’FBGS’               
+
 
Type of smoother used in the multilevel
-preconditioner:     point-Jacobi,     hybrid
-(forward)  Gauss-Seidel,  hybrid  backward
-Gauss-Seidel,    block-Jacobi,    ℓ1-Jacobi,
-ℓ1–hybrid       (forward)       Gauss-Seidel,
-–hybrid                               (forward)
+  Gauss-Seidel, ℓ1-point-Jacobi and Additive Schwarz.
-
It is ignored by one-level preconditioners. 
’SUB_SOLVE’         
character(len=*)                                                                
’JACOBI’
-’GS’
-
’BGS’
-
’ILU’
-
’ILUT’
-
’MILU’
-
’MUMPS’
-
’SLU’
-
’UMF’
-
’INVT’
-
’INVK’
-
’AINV’    
 
’SUB_SOLVE’
+                      
 
character(len=*)                                                                 
+
 
’JACOBI’
+ ’GS’
+ 
’BGS’
+ 
’ILU’
+ 
’ILUT’
+ 
’MILU’
+ 
’MUMPS’
+ 
’SLU’
+ 
’UMF’
+ 
’INVT’
+ 
’INVK’
+ 
’AINV’     
+
 
GS and  BGS for  pre-
-and  post-smoothers  of
-multilevel
-preconditioners,
-respectively
-
ILU  for   block-Jacobi
-and  Additive  Schwarz
-one-level
-preconditioners           
preconditioners            
+
 
The  local  solver  to  be  used  with  the
-smoother or one-level preconditioner (see
-Remark 2, page 24): point-Jacobi, hybrid
-(forward)  Gauss-Seidel,  hybrid  backward
-Gauss-Seidel, ILU(p), ILU(p,t), MILU(p),
-LU                from                MUMPS,
-SuperLU  or  UMFPACK  (plus  triangular
-solve), Approximate Inverses INVK(p,q),
-INVT(p12)   and   AINV(t);   note
-that approximate inverses are specifically
-suited for GPUs since they do not employ
-triangular system solve kernels, see [3]. See
-Note for details on hybrid Gauss-Seidel.   

 
’SMOOTHER_SWEEPS’   
integer                                                                         
 
’SMOOTHER_SWEEPS’
+                      
 
integer                                                                          
+
 
Any integer
-
number ≥ 0
1                             
0  
+
 
1                               
+
 
Number  of  sweeps  of  the  smoother  or
-one-level preconditioner. In the multilevel
-case,  no  pre-smother  or  post-smoother
-is  used  if  this  parameter  is  set  to  0
-together with pos=’PRE’ or pos=’POST’together with pos=’PRE’ or pos=’POST’,
-respectively.                                        

 
’SUB_OVR’           
integer                                                                         
 
’POLY_DEGREE’
+                      
 
integer                                                                          
+
 
Any integer
-
number ≥ 0
1                             
Number  of  overlap  layers,  for  Additive
-Schwarz only.                                      
 
1                               
+
 
Degree  of  the  polynomial  accelerator,  is
+  equal  to  the  number  of  matrix-vector
+  products  performed  by  the  smoother.  Is
+  ignored if the smoother is not ’POLY’     
+

 
                    

+class="td11">                                                                                                                        
 
  
Table 7:   Parameters   defining   the   smoother   or   the   details   of   the   one-level
@@ -2278,7 +1839,7 @@ preconditioner. 

                                                                                
 
                                                                                
-
   
   

                                                                                
@@ -2286,9 +1847,9 @@ preconditioner. 

                                                                                
 

-

+

 
 s
+
+  its RAS variant.                                      
+
+  ’NONE’for its RAS variant.                       
+
+  factorizations.                                        
+
+  factorization.                                          
+
+  process.                                                 
+
+  argument.                                              
+
+  argument.                                              
+
what             
 
what              
 daa type               
val           
e                
 
val            
 
default         
t           
 
coments                                     
                                       
’SUB_RESTR’ 
character(len=*)   
’HALO’
-
’NONE’        
’HALO’        
 
’SUB_OVR’
+                    
 
integer                                                                          
+
 
Any integer
+  
number ≥ 0        
+
 
1                      
+
 
Number  of  overlap  layers,  for  Additive
+  Schwarz only.                                         
+
 
’SUB_RESTR’
+                    
 
character(len=*)                                                                 
+
 
’HALO’
+ 
’NONE’         
+
 
’HALO’         
+
 
Type  of  restriction  operator,  for  Additive
-Schwarz only: HALO for taking into account
-the overlap, ’NONE’ the overlap, ’NONE’ for neglecting it.
-
Note  that  HALO must  be  chosen  for  the
-classical  Addditive  Schwarz  smoother  and
-its RAS variant.                                    

 
’SUB_PROL’        
character(len=*)                                                                
’SUM’
-
’NONE’        
’NONE’        
 
’SUB_PROL’
+                    
 
character(len=*)                                                                 
+
 
’SUM’
+ 
’NONE’         
+
 
’NONE’         
+
 
Type of prolongation operator, for Additive
-Schwarz   only:   ’SUM’  Schwarz   only:   ’SUM’  for   adding   the
-contributions from the overlap, ’NONE’ contributions from the overlap, ’NONE’ for
-neglecting them.
-
Note  that  ’SUM’ 
Note  that  ’SUM’ must  be  chosen  for  the
-classical  Additive  Schwarz  smoother,  and
-’NONE’ for its RAS variant.                     
 
 
’SUB_FILLIN’      
integer                                                                         
 
’SUB_FILLIN’
+                    
 
integer                                                                          
+
 
Any integer
-
number ≥ 0      
0                     
0        
+
 
0                      
+
 
Fill-in   level   p  of   the   incomplete   LU
-factorizations.                                       

 
’SUB_ILUTHRS’     
real(kind_parameter)                                                            
Any real
-
 
’SUB_ILUTHRS’
+                    
 
real(kind_parameter)                                                             
+
 
Any            real
+  number ≥ 0      
0                     
0        
+
 
0                      
+
 
Drop    tolerance    t   in    the    ILU(p,t)
-factorization.                                        

 
’MUMPS_LOC_GLOB’  
character(len=*)                                                                
’LOCAL_SOLVER’
-
’GLOBAL_SOLVER’ 
’GLOBAL_SOLVER’ 
 
’MUMPS_LOC_GLOB’
+                    
 
character(len=*)                                                                 
+
 
’LOCAL_SOLVER’
+ 
’GLOBAL_SOLVER’
+
 
’GLOBAL_SOLVER’
+
 
Whether  MUMPS  should  be  used  as  a
-distributed solver, or as a serial solver acting
-only on the part of the matrix local to each
-process.                                               

 
’MUMPS_IPAR_ENTRY’ 
integer                                                                         
Any integer
-number            
0                     
 
’MUMPS_IPAR_ENTRY’
+                    
 
integer                                                                          
+
 
Any        integer
+  number              
+
 
0                      
+
 
Set an entry in the MUMPS integer control
-array,  as  chosen  via  the  idx  array,  as  chosen  via  the  idx  optional
-argument.                                            

 
’MUMPS_RPAR_ENTRY’ 
real                                                                            
Any real number 
0 
Set an entry in the MUMPS  real  control
-array,  as  chosen  via  the  idx  
 
’MUMPS_RPAR_ENTRY’
+                    
 
real                                                                             
+
 
Any real number  
+
 
0                      
+
 
Set  an  entry  in  the  MUMPS  real  control
+  array,  as  chosen  via  the  idx  optional
-argument.                                            

 
                  

+ style="vertical-align:baseline;" id="TBL-10-10-">                                                                                                                          
 
 
Table 8: Parameters defining the smoother or the details of the one-level preconditioner
@@ -2566,6 +2098,219 @@ class="content">Parameters defining the smoother or the details of the one-level
                                                                                
 
                                                                                
+   

+   
+   

+                                                                               
+
+                                                                               
+
   

+                                                                               
+
+                                                                               
+

+

+
 
+
+
+
+
 
what                          
 data type                 
val                 
 
default                  
 
comments               
 
’POLY_VARIANT’
+                                
 
character(len=*)                                                                 
+
 
’CHEB_4’
+ 
’CHEB_4_OPT’
+ 
’CHEB_1_OPT’        
+
 
’CHEB_4’            
+
 
Select   the   type   of
+  polynomial accelerator.
+  The    ’CHEB_4’  and
+  ’CHEB_4_OPT’   types
+  are those based on the
+  Chebyshev
+  polynomials            of
+  the 4th-kind described
+  in [27].                The
+  ’CHEB_1_OPT’ version
+  is  the  one  described
+  in [15]  and  based  on
+  the            Chebyshev
+  polynomials    of    the
+  1st-kind.                     
+
 
’POLY_RHO_ESTIMATE’
+                                
 
character(len=*)                                                                 
+
 
’POLY_RHO_EST_POWER’
+
 
’POLY_RHO_EST_POWER’
+
 
Algorithm             for
+  estimating the spectral
+  radius of the smoother
+  to
+  which  the  polynomial
+  acceleration is applied.
+  The only implemented
+  algorithm is the power
+  method;  see  also  the
+  two following options.   
+
 
’POLY_RHO_ESTIMATE_ITERATIONS’
+                                
 
integer                                                                          
+
 
Any integer
+  
number ≥ 1                
+
 
20                             
+
 
Number  of  iterations
+  for the spectral radius
+  estimate.                    
+
 
’POLY_RHO_BA’
+                                
 
real(kind_parameter)                                                             
+
 
Any real
+  
number ∈ (0,1]            
+
 
1                              
+
 
Sets   an   estimate   of
+  the  spectral  radius  of
+  the  base  smoother  to
+  which  the  polynomial
+  accelerator is applied.    
+
                                
                                                                                              

+
 
Table 9: Parameters defining the smoother or the details of the one-level preconditioner
+(continued).

+                                                                               
+
+                                                                               
    

    

                                                                                
@@ -2574,7 +2319,7 @@ class="content">Parameters defining the smoother or the details of the one-level
                                                                                
 
                                                                                
-   
[next] [up] 

-
   
     
  
diff --git a/docs/src/bibliography.tex b/docs/src/bibliography.tex
index 0920112a..bce8ba6a 100644
--- a/docs/src/bibliography.tex
+++ b/docs/src/bibliography.tex
@@ -92,8 +92,14 @@ P.~D'Ambra, S.~Filippone and P.\,S.~Vassilevski,
 ACM Transactions on Mathematical Software, 44, (2018) 39:1--39:25.
 %
 \bibitem{DDF2020}
-P.~D'Ambra, F~Durastante, S.~Filippone, 
-\emph{AMG preconditioners for Linear Solvers towards Extreme Scale}, 2020, \href{https://arxiv.org/abs/2006.16147v3arXiv:2006.16147v2}{arXiv:2006.16147v3}.
+P.~D'Ambra, F.~Durastante, S.~Filippone, 
+\emph{AMG preconditioners for Linear Solvers towards Extreme Scale}, 
+SIAM Journal on Scientific Computing 43, no. 5 (2021): S679-S703.
+%
+\bibitem{DDFMT2024}
+P.~D'Ambra, F.~Durastante, S.~Filippone, S.~Massei, S.~Thomas
+\emph{Optimal Polynomial Smoothers for Parallel AMG}, 2024,
+\href{https://arxiv.org/abs/2407.09848}{arXiv:2407.09848}.
 %
 \bibitem{UMFPACK}
 T.~A.~Davis,
@@ -165,6 +171,11 @@ C.~L.~Lawson, R.~J.~Hanson, D.~Kincaid, F.~T.~Krogh,
 \emph{Basic Linear Algebra Subprograms for FORTRAN usage},
 ACM Transactions on Mathematical Software, 5 (3), 1979, 308--323.
 %
+\bibitem{LOTTES}
+J.~Lottes, 
+\emph{Optimal polynomial smoothers for multigrid V‐cycles}, 
+Numerical Linear Algebra with Applications 30.6 (2023): e2518.
+%
 \bibitem{SUPERLUDIST}
 X.~S.~Li, J.~W.~Demmel,
 {\em SuperLU\_DIST: A Scalable Distributed-memory
diff --git a/docs/src/building.tex b/docs/src/building.tex
index a0013a36..94e672fd 100644
--- a/docs/src/building.tex
+++ b/docs/src/building.tex
@@ -62,20 +62,37 @@ interfaces compatible with AMG4PSBLAS; usually this means that they
 should all be built with the same compiler being used for  AMG4PSBLAS.
 
 If you want to use the PSBLAS support for NVIDIA GPUs, you will also
-need:
-\begingroup
-\sloppy
-\begin{description}
- \item[PSBLAS-EXT] Parallel Sparse BLAS (PSBLAS) Extensions, 
-  available from
-  \href{https://psctoolkit.github.io/products/psblasext/}{psctoolkit.github.io/products/psblasext/}; version   1.3.0  (or later). 
- \item[SPGPU] Sparse CUDA kernels for NVIDIA GPUs; available from
-   GitHub, see also
-   \href{https://psctoolkit.github.io/products/psblasext/}{psctoolkit.github.io/products/psblasext/}.
- \end{description}
- See also Sec~\ref{sec:gpu-example}.
-\endgroup
-
+need a working version of the CUDA Toolkit that is compatible with the 
+compiler choice made to compile PSBLAS and AMG4PSBLAS. 
+After that you will need to have configured and compiled the PSBLAS library 
+with the options:
+%\begingroup
+%\sloppy
+%\begin{description}
+% \item[PSBLAS-EXT] Parallel Sparse BLAS (PSBLAS) Extensions, 
+%  available from
+%  \href{https://psctoolkit.github.io/products/psblasext/}{psctoolkit.github.io/products/psblasext/}; version   1.3.0  (or later). 
+% \item[SPGPU] Sparse CUDA kernels for NVIDIA GPUs; available from
+%   GitHub, see also
+%   \href{https://psctoolkit.github.io/products/psblasext/}{psctoolkit.github.io/products/psblasext/}.
+% \end{description}
+%
+%\endgroup
+\ifpdf
+\begin{minted}[breaklines=true,bgcolor=bg,fontsize=\small]{fortran}
+./configure --enable-cuda --with-cudadir=${CUDA_HOME} --with-cudacc=xx,yy,zz
+\end{minted}
+\else
+{\small
+\begin{verbatim}
+./configure --enable-cuda --with-cudadir=${CUDA_HOME} --with-cudacc=xx,yy,zz		
+\end{verbatim}
+}	
+\fi
+Previous versions required you to have the auxiliary libraries SPGPU and PSBLAS-EXT compiled, 
+this is no longer necessary because they have been integrated into PSBLAS and are compiled 
+by activating the previous flags during configuration. See also Sec~\ref{sec:gpu-example}. 
+ 
 \subsection{Optional third party libraries\label{sec:third-party}}
 
 We provide interfaces to the following third-party software libraries;
diff --git a/docs/src/userinterface.tex b/docs/src/userinterface.tex
index 007a3469..339b6b5c 100644
--- a/docs/src/userinterface.tex
+++ b/docs/src/userinterface.tex
@@ -573,12 +573,12 @@ level (continued).\label{tab:p_coarse_1}}
 
 \fortinline|'SMOOTHER_TYPE'|  & \fortinline|character(len=*)|
                          & \fortinline|'JACOBI'| \par \fortinline|'GS'| \par \fortinline|'BGS'| \par \fortinline|'BJAC'|
-                            \par \fortinline|'AS'| \par \fortinline|'L1-JACOBI'| \par \fortinline|'L1-BJAC'| \par \fortinline|'L1-FBGS'|
-                         & \fortinline|'FBGS'|
+                            \par \fortinline|'AS'| \par \fortinline|'L1-JACOBI'| \par \fortinline|'L1-BJAC'| \par \fortinline|'L1-FBGS'| \par \fortinline|'POLY'|
+                         & \fortinline|'FBGS'| 
                          & Type of smoother used in the multilevel preconditioner:
                             point-Jacobi, hybrid (forward) Gauss-Seidel,
 			    hybrid backward Gauss-Seidel, block-Jacobi, $\ell_1$-Jacobi, $\ell_1$--hybrid (forward) Gauss-Seidel, $\ell_1$-point-Jacobi  and
-                            Additive Schwarz. \par
+                            Additive Schwarz, polynomial accelerators; see~\cite{DDFMT2024} \par
                             It is ignored by one-level preconditioners. \\ \hline
 \fortinline|'SUB_SOLVE'|  & \fortinline|character(len=*)|
                          & \fortinline|'JACOBI'|
@@ -612,12 +612,11 @@ level (continued).\label{tab:p_coarse_1}}
                             In the multilevel case, no pre-smother or
                             post-smoother is used if this parameter is set to 0
                             together with \fortinline|pos='PRE'| or \fortinline|pos='POST'|,
-                           respectively. \\ \hline
-\fortinline|'SUB_OVR'|  & \fortinline|integer|
-                         & Any integer \par number~$\ge 0$
-                         & 1
-                         & Number of overlap layers, for Additive Schwarz only. \\
-\hline
+                           respectively. Is ignored if the smoother is \fortinline|'POLY'| \\ \hline
+\fortinline|'POLY_DEGREE'| & \fortinline|integer|
+& Any integer \par number~$\ge 1$ and~$\le 30$
+& 1 
+& Degree of the polynomial accelerator, is equal to the number of matrix-vector products performed by the smoother. Is ignored if the smoother is not \fortinline|'POLY'|\\ \hline
 \end{tabular}
 \end{center}
 \caption{Parameters defining the smoother or the details of the one-level preconditioner.
@@ -631,6 +630,10 @@ level (continued).\label{tab:p_coarse_1}}
 \hline
 \fortinline|what|              & \textsc{data type}        &  \fortinline|val|      &  \textsc{default}  &
 \textsc{comments} \\ \hline
+\fortinline|'SUB_OVR'|  & \fortinline|integer|
+& Any integer \par number~$\ge 0$
+& 1
+& Number of overlap layers, for Additive Schwarz only. \\
 \fortinline|'SUB_RESTR'|   & \fortinline|character(len=*)|
                          & \fortinline|'HALO'| \par \fortinline|'NONE'|
                          & \fortinline|'HALO'|
@@ -679,6 +682,26 @@ level (continued).\label{tab:p_coarse_1}}
 (continued).\label{tab:p_smoother_1}}
 \esideways
 
+\bsideways
+\begin{center}
+	\small
+	\begin{tabular}{|p{5.4cm}|l|p{3.5cm}|p{3.5cm}|p{3.55cm}|}
+		\hline
+		\fortinline|what|              & \textsc{data type}        &  \fortinline|val|      &  \textsc{default}  &
+		\textsc{comments} \\ \hline
+		\fortinline|'POLY_VARIANT'|  & \fortinline|character(len=*)|
+		& \fortinline|'CHEB_4'| \par \fortinline|'CHEB_4_OPT'| \par \fortinline|'CHEB_1_OPT'| 
+		& \fortinline|'CHEB_4'|
+		& Select the type of polynomial accelerator. The \fortinline|'CHEB_4'| and \fortinline|'CHEB_4_OPT'| types are those based on the Chebyshev polynomials of the 4\textsuperscript{th}-kind described in~\cite{LOTTES}. The \fortinline|'CHEB_1_OPT'| version is the one described in~\cite{DDFMT2024} and based on the Chebyshev polynomials of the 1\textsuperscript{st}-kind.\\ \hline 
+		\fortinline|'POLY_RHO_ESTIMATE'| & \fortinline|character(len=*)| & \fortinline|'POLY_RHO_EST_POWER'| & \fortinline|'POLY_RHO_EST_POWER'| & Algorithm for estimating the spectral radius of the smoother to which the polynomial acceleration is applied. The only implemented algorithm is the power method; see also the two following options. \\  \hline
+		\fortinline|'POLY_RHO_ESTIMATE_ITERATIONS'| & \fortinline|integer| & Any integer\par number $\ge 1$ &  20 & Number of iterations for the spectral radius estimate.\\ \hline
+		\fortinline|'POLY_RHO_BA'| & \fortinline|real(kind_parameter)| & Any real\par number $\in (0,1]$ & 1 & Sets an estimate of the spectral radius of the base smoother to which the polynomial accelerator is applied.\\
+		\hline
+	\end{tabular}
+\end{center}
+\caption{Parameters defining the smoother or the details of the one-level preconditioner
+	(continued).\label{tab:p_smoother_2}}
+\esideways
 
 \clearpage
 

From a85997926c156efc3baf5c5263ecefe5b18ae992 Mon Sep 17 00:00:00 2001
From: Fabio Durastante 
Date: Mon, 18 Nov 2024 10:08:29 +0100
Subject: [PATCH 2/3] Update README.md

---
 README.md | 17 +++++++++--------
 1 file changed, 9 insertions(+), 8 deletions(-)

diff --git a/README.md b/README.md
index 0b5350b0..7fcbc96e 100644
--- a/README.md
+++ b/README.md
@@ -15,7 +15,13 @@ AMG4PSBLAS enables the user to easily specify different features of an algebraic
 
 The package employs object-oriented design techniques in Fortran 2008, with interfaces to additional third party libraries such as MUMPS, UMFPACK, SuperLU, and SuperLU_Dist, which can be exploited in building multilevel preconditioners. The parallel implementation is based on a Single Program Multiple Data (SPMD) paradigm; the inter-process communication is based on MPI and is managed mainly through PSBLAS.
 
-## Main refrerences:
+## Main Refrerences:
+
+The main reference for this project is
+> D'Ambra, P., Durastante, F., & Filippone, S. (2021). AMG preconditioners for linear solvers towards extreme scale. SIAM Journal on Scientific Computing, 43(5), S679-S703.
+
+AMG4PSBLAS contains the suite of preconditioners for the Parallel Sparse Computation Toolkit ([PSCToolkit](https://psctoolkit.github.io/)) suite of libraries. See the paper:
+> D’Ambra, P., Durastante, F., & Filippone, S. (2023). Parallel Sparse Computation Toolkit. Software Impacts, 15, 100463.
 
 The main reference for features inherited from MLD2P4 is
 > P. D'Ambra, D. di Serafino, S. Filippone,
@@ -24,12 +30,6 @@ The main reference for features inherited from MLD2P4 is
 > ACM Transactions on Mathematical Software, 37 (3), 2010, art. 30,
 > doi: 10.1145/1824801.1824808.
 
-The new features introduced and which led to the library's name change are described in the article
-> D'Ambra, P., Durastante, F., & Filippone, S. (2021). AMG preconditioners for linear solvers towards extreme scale. SIAM Journal on Scientific Computing, 43(5), S679-S703.
-
-AMG4PSBLAS contains the suite of preconditioners for the Parallel Sparse Computation Toolkit ([PSCToolkit](https://psctoolkit.github.io/)) suite of libraries. See the paper:
-> D’Ambra, P., Durastante, F., & Filippone, S. (2023). Parallel Sparse Computation Toolkit. Software Impacts, 15, 100463.
-
 ## Installing
 
 Installation requires having a working version of the [PSBLAS](https://github.com/sfilippone/psblas3) library installed.
@@ -70,6 +70,7 @@ In the European project “Energy oriented Center of Excellence: toward exascale
 
 ## The AMG4PSBLAS team. 
 
-- Salvatore Filippone    (University of Rome Tor Vergata and IAC-CNR)
 - Pasqua D'Ambra         (IAC-CNR, Naples, IT)
 - Fabio Durastante       (University of Pisa and IAC-CNR, IT)
+- Salvatore Filippone    (University of Rome Tor Vergata and IAC-CNR, IT)
+ 

From 857844474ac36f1198fa98c410ed5079eb1f8e03 Mon Sep 17 00:00:00 2001
From: Pasqua D'Ambra 
Date: Mon, 18 Nov 2024 10:56:46 +0100
Subject: [PATCH 3/3] Update README.md

---
 README.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/README.md b/README.md
index 7fcbc96e..769b2a46 100644
--- a/README.md
+++ b/README.md
@@ -20,7 +20,7 @@ The package employs object-oriented design techniques in Fortran 2008, with inte
 The main reference for this project is
 > D'Ambra, P., Durastante, F., & Filippone, S. (2021). AMG preconditioners for linear solvers towards extreme scale. SIAM Journal on Scientific Computing, 43(5), S679-S703.
 
-AMG4PSBLAS contains the suite of preconditioners for the Parallel Sparse Computation Toolkit ([PSCToolkit](https://psctoolkit.github.io/)) suite of libraries. See the paper:
+AMG4PSBLAS is the suite of preconditioners for the Parallel Sparse Computation Toolkit ([PSCToolkit](https://psctoolkit.github.io/)) suite of libraries. See the paper:
 > D’Ambra, P., Durastante, F., & Filippone, S. (2023). Parallel Sparse Computation Toolkit. Software Impacts, 15, 100463.
 
 The main reference for features inherited from MLD2P4 is