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z4USoo-5{T=zBNT}?vug3(d0)K*>K3lmZGX6sSg_|s}Iu4>T@Z2nKw{* zJ_uJ4gs$b&t!10DiVEn4vZv&caRJ?$(c?Bac?LOIhC*jAB|j$Ukc|>W-{KaUTR@-a zFJcXL8&dS6Y6c-Aihg?DAY@F@-+6ox8bQ%Nqd5pMCOpgHfu3kSWDrRl*=- rMlpDN0x1{LU1gIVAm2jzda4^No!*Li3+W71aC01$kt5xF-Btb{Io8%h diff --git a/docs/html/userhtmlsu10.html b/docs/html/userhtmlsu10.html index 0340d20e..e9d44fe1 100644 --- a/docs/html/userhtmlsu10.html +++ b/docs/html/userhtmlsu10.html @@ -10,7 +10,7 @@ -

[nextMethod smoothers_build

-

-

+

call p,imold])

-

This method builds the smoothers and the coarsest-level solvers for the multilevel preconditioner  5.3). -

Arguments

@@ -262,7 +262,7 @@ class="td11">

a

type(psb_).

The sparse matrix structure containing the local part of the matrix to be preconditioned. Note that ].

desc_a

type(psb_desc_type).

The communication descriptor of a. See the PSBLAS User’s Guide @@ -150,9 +150,9 @@ class="cmr-12">].

info

integer, ).

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

amold

class(psb_optional.

The desired dynamic type for internal matrix components; this allows e.g. running on GPUs; it needs not be the same on all @@ -205,9 +205,9 @@ class="cmr-12">].

vmold

class(psb_optional.

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

imold

class(psb_i_base_vect_typeoptional.

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

-

[next] [up]

-

diff --git a/docs/html/userhtmlsu11.html b/docs/html/userhtmlsu11.html index d4117714..d4bcef32 100644 --- a/docs/html/userhtmlsu11.html +++ b/docs/html/userhtmlsu11.html @@ -10,7 +10,7 @@ -

[next5.5 Method build

-

-

+

call p,imold])

-

This method builds the preconditioner p according to the requirements made by the @@ -83,7 +83,7 @@ class="cmtt-12">smoothers_build, whose nomenclature would however be somewhat unnatural when dealing with simple one-level preconditioners. -

Arguments

a

type(psb_).

The sparse matrix structure containing the local part of the matrix to be preconditioned. Note that ].

desc_a

type(psb_desc_type).

The communication descriptor of a. See the PSBLAS User’s Guide @@ -158,9 +158,9 @@ class="cmr-12">].

info

integer, ).

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

amold

class(psb_optional.

The desired dynamic type for internal matrix components; this allows e.g. running on GPUs; it needs not be the same on all @@ -213,9 +213,9 @@ class="cmr-12">].

vmold

class(psb_optional.

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

imold

class(psb_i_base_vect_typeoptional.

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

[next] [up]

-

diff --git a/docs/html/userhtmlsu12.html b/docs/html/userhtmlsu12.html index 7c8cb956..79f9b756 100644 --- a/docs/html/userhtmlsu12.html +++ b/docs/html/userhtmlsu12.html @@ -10,7 +10,7 @@ -

[next5.6 Method apply

-

-

+

call p,work])

-

This method computes y = psb_krylov and hence it is completely transparent to the user. -

Arguments

x

type(kind_parameter), dimension(:), intent(in)—.

The local part of the vector x. Note that , single/double class="cmr-12">precision version of AMG4PSBLAS under use.

y

type(kind_parameter), dimension(:), intent(out)—.

The local part of the vector y. Note that , single/double class="cmr-12">precision version of AMG4PSBLAS under use.

desc_a

type(psb_desc_type).

The communication descriptor associated to the matrix to be preconditioned.

info

integer, ).

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

trans

character(lenin).

If trans = 1).

work

type(kind_parameter), dimension(:), optional, target—.

Workspace. Its size should be at least 4 

-

[next] [up]

-

diff --git a/docs/html/userhtmlsu13.html b/docs/html/userhtmlsu13.html index f80e1a19..66afb1f1 100644 --- a/docs/html/userhtmlsu13.html +++ b/docs/html/userhtmlsu13.html @@ -10,7 +10,7 @@ -

[next5.7 Method free

-

-

+

call p,info)

-

This method deallocates the preconditioner data structure p. -

Arguments

info

integer, ).

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

-

[next] [up]

-

diff --git a/docs/html/userhtmlsu14.html b/docs/html/userhtmlsu14.html index 705fc60f..361bdc2b 100644 --- a/docs/html/userhtmlsu14.html +++ b/docs/html/userhtmlsu14.html @@ -10,7 +10,7 @@ -

[next5.8 Method descr

-

-

+

call p verbosity])

-

This method prints a description of the preconditioner p to the standard output or to a @@ -68,7 +68,7 @@ class="cmtt-12">build, have been called. -

Arguments

info

integer, ).

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

iout

integer, optional.

The id of the file where the preconditioner description will be printed; the default is the standard output.

root

integer, optional.

The id of the process where the preconditioner description will be printed; the default is psb_root_.

verbosity

integer, optional.

The verbosity level of the description. Default value is 0. For values higher than 0, it prints out further information, e.g., for @@ -174,7 +174,7 @@ class="td11">

-

[next] [up]

-

diff --git a/docs/html/userhtmlsu15.html b/docs/html/userhtmlsu15.html index ddbe5fb8..97f02b3e 100644 --- a/docs/html/userhtmlsu15.html +++ b/docs/html/userhtmlsu15.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,global_num])

-

Dump on file. -

Arguments

info

integer, ).

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

amold

class(psb_optional.

The desired dynamic type for internal matrix components; this allows e.g. running on GPUs; it needs not be the same on all @@ -134,15 +134,15 @@ class="cmr-12">.

-

+

5.9.2 Method: clone
-

-

+

call p)
-

Create a (deep) copy of the preconditioner object. -

Arguments

pout

type(amg_).

The copy of the preconditioner data structure. Note that x must @@ -199,9 +199,9 @@ class="cmr-12">, single/double precision class="cmr-12">version of AMG4PSBLAS under use.

info

integer, ).

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

-

+

5.9.3 Method: sizeof
-

-

+

sz =

global

logical, optional.

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

Return memory footprint in bytes. -

+

5.9.4 Method: allocate_wrk
-

-

+

call p 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 @@ -326,7 +326,7 @@ class="cmr-12">argument to the apply method. -

Arguments

info

integer, ).

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

vmold

class(psb_optional.

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

-

+

5.9.5 Method: free_wrk
-

-

+

call p(info)

-

Deallocate internal work vectors. -

Arguments

@@ -1454,7 +1472,7 @@ class="content">Parameters defining the solver at the coarsest level (continued) -

@@ -1462,7 +1480,7 @@ class="content">Parameters defining the solver at the coarsest level (continued)
-

+

@@ -1476,7 +1494,7 @@ id="TBL-8-4">

+class="td11">

The stopping tolerance.

Additional parameters defining the solver at the coarsest level. -

@@ -1914,7 +1934,7 @@ class="content">Additional parameters defining the solver at the coarsest level.
-

+

info

integer, ).

Error code. If no error, 0 is returned. See Section configure script in the main directory to generate the necessary makefile. -

DA RISCRIVERE -

As a minimal example consider the following: @@ -47,7 +45,7 @@ class="cmr-12">As a minimal example consider the following:

-

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 @@ -61,7 +59,7 @@ class="cmtt-12">./configure --help, which produces:

+class="cmr-12">produces:
issues>.
-

For instance, if a user has built and installed PSBLAS 3.7 under the /opt directory and is @@ -4253,7 +4251,7 @@ 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 which will then be used by all Makefiles in the directory tree; t class="cmr-12">copied 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 --with-extra-libs configure option. -

To build the library the user will now enter @@ -4290,7 +4288,7 @@ class="cmr-12">To build the library the user will now enter

make
-

followed (optionally) by @@ -4298,11 +4296,11 @@ class="cmr-12">followed (optionally) by

make install
-

+

-

[next] [up]

-

diff --git a/docs/html/userhtmlsu4.html b/docs/html/userhtmlsu4.html index f6e35e2e..6c25a03f 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/amg4psblas/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 dac9747d..4c6aecdd 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 the examples and runs subdirectories, to experiment with the full range of preconditioners implemented in the package. -

The fileread directories contain sample programs that read sparse matrices from files, diff --git a/docs/html/userhtmlsu8.html b/docs/html/userhtmlsu8.html index b6230e14..7045b155 100644 --- a/docs/html/userhtmlsu8.html +++ b/docs/html/userhtmlsu8.html @@ -468,7 +468,7 @@ class="cmr-12">solver. class="cmr-12">More precisely, UMFPACK and SuperLU require the coarsest-level matrix to be replicated, while SuperLU_Dist and KRM requires it to be distributed. In these cases, +class="cmr-12">_Dist and KRM require it to be distributed. In these cases, setting the coarsest-level solver implies that the layout is redefined according to the ’

’KRM’

See Note.

Solver used at the coarsest level: sequential +class="cmtt-10x-x-109">’ +’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); @@ -1238,53 +1256,53 @@ 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 +class="td11">

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(ILU otherwise.

what

type

val

deault

cos

’COARSE_SWEEPS’

integer

Any +class="td11">

Any integer -

number

number > 0

10

Number of sweeps when

10

Number of sweeps when JACOBI, GS or BJAC is @@ -1389,39 +1407,39 @@ chosen as coarsest-level solver.

’COARSE_FILLIN’

integer

Any +class="td11">

Any integer -

number

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

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.

what

type

val

deault

cots

’BJAC_STOP’

character(len=*)

’FALSE’ -

’TRUE’

’FALSE’

Select whether to use a stopping criterion for +class="td11">

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 +class="td11">

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 -

Any integer +

> 0

-1

Number of iterations after which a trace is to +class="td11">

-1

Number of iterations after which a trace is to be printed.

’BJAC_RESCHECK’

integer

Any integer -

Any integer +

> 0

-1

Number of iterations after which a residual is +class="td11">

-1

Number of iterations after which a residual is to be calculated.

’BJAC_STOPTOL’

real(kind_parameter)

Any real -

Any real +

< 1

0

Tolerance for the stopping criterion on the +class="td11">

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 +class="td11">

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;

’KRM_KPREC’

character(len=*)

Table 

Table 1

’BJAC’

The one-level +class="td11">

The one-level preconditioners from the Table 1 can be used for the coarse Krylov solver.

’KRM_SUB_SOLVE’

character(len=*)

Table 

Table 5

’ILU’

Solver for the diagonal blocks of the coarsest +class="td11">

Solver for the diagonal blocks of the coarsest matrix preconditioner, in case the block Jacobi solver is chosen as 5 applies here.

’KRM_GLOBAL’

character(len=*)

’TRUE’, @@ -1769,46 +1789,46 @@ class="cmtt-10x-x-109">’, class="cmtt-10x-x-109">’FALSE’

’FALSE’

Choose between a global Krylov solver, all +class="td11">

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

Real < 1

10

10-6

The stopping tolerance.

’KRM_IRST’

integer

Integer -

Integer +

≥ 1

30

An integer specifying the restart parameter. +class="td11">

30

An integer specifying the restart parameter. This is employed for the BiCGSTABL or RGMRES @@ -1816,16 +1836,16 @@ methods, otherwise it is ignored.

’KRM_ISTOPC’

integer

Integers +class="td11">

Integers 1,2,3

2

If

2

If 1 then the method uses the normwise backward error in the infinity norm; if 2, the @@ -1838,32 +1858,32 @@ for the details.

’KRM_ITMAX’

integer

Integer -

Integer +

≥ 1

40

The maximum number of iterations to +class="td11">

40

The maximum number of iterations to perform.

’KRM_ITRACE’

integer

Integer -

Integer +

≥ 0

-1

If

-1

If > 0 print out an informational message about convergence every

’KRM_FILLIN’

integer

Integer -

Integer +

≥ 0

0

Fill-in level

0

Fill-in level p of the ILU factorizations and first fill-in for the approximate inverses.

@@ -2248,7 +2268,7 @@ preconditioner. -

@@ -2256,7 +2276,7 @@ preconditioner.
-

+

what

type

val

deault

cots

’SMOOTHER_TYPE’

character(len=*)

’JACOBI’ -

’GS’ -

’BGS’ -

’BJAC’ -

’AS’ -

’L1-JACOBI’ -

’L1-BJAC’ -

’L1-FBGS’

’FBGS’

Type of smoother used in the multilevel preconditioner: point-Jacobi, hybrid @@ -2030,21 +2050,21 @@ class="cmr-10">–hybrid (forward) Gauss-Seidel, class="cmmi-10">ℓ1-point-Jacobi and Additive Schwarz. -

It is ignored by one-level preconditioners.

’SUB_SOLVE’

character(len=*)

’JACOBI’ @@ -2052,47 +2072,47 @@ class="cmtt-10">’ class="cmtt-10">’GS’ -

’BGS’ -

’ILU’ -

’ILUT’ -

’MILU’ -

’MUMPS’ -

’SLU’ -

’UMF’ -

’INVT’ -

’INVK’ -

’AINV’

GS and BGS multilevel class="cmr-10">preconditioners, respectively -

ILU for block-Jacobi and Additive Schwarz class="cmr-10">one-level preconditioners

The local solver to be used with the smoother or one-level preconditioner (see @@ -2170,22 +2190,22 @@ class="cmr-10">Note for details on hybrid Gauss-Seidel.

’SMOOTHER_SWEEPS’

integer

Any integer -

number ≥ 0

1

Number of sweeps of the smoother or one-level preconditioner. In the multilevel @@ -2212,22 +2232,22 @@ class="cmr-10">respectively.

’SUB_OVR’

integer

Any integer -

number ≥ 0

1

Number of overlap layers, for Additive Schwarz only.

what

type

val

deault

cots

’SUB_RESTR’

character(len=*)

’HALO’ -

’NONE’

’HALO’

Type of restriction operator, for Additive Schwarz only: ’NONE’ for neglecting it. -

Note that HALO must be chosen for the @@ -2346,28 +2366,28 @@ class="cmr-10">its RAS variant.

’SUB_PROL’

character(len=*)

’SUM’ -

’NONE’

’NONE’

Type of prolongation operator, for Additive Schwarz only: ’ for neglecting them. -

Note that ’SUMfor its RAS variant.

’SUB_FILLIN’

integer

Any integer -

number ≥ 0

0

Fill-in level p of the incomplete LU @@ -2423,25 +2443,25 @@ class="cmr-10">factorizations.

’SUB_ILUTHRS’

real(kind_parameter)

Any real number ≥ 0

0

Drop tolerance t in the ILU(factorization.

’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 @@ -2484,19 +2504,19 @@ class="cmr-10">process.

’MUMPS_IPAR_ENTRY’

integer

Any integer number

0

Set an entry in the MUMPS integer control array, as chosen via the argument.

’MUMPS_RPAR_ENTRY’

real

Any real number

0

Set an entry in the MUMPS real control array, as chosen via the Parameters defining the smoother or the details of the one-level -

[next] [up]

-

diff --git a/docs/html/userhtmlsu9.html b/docs/html/userhtmlsu9.html index 83e77773..eedb1ab5 100644 --- a/docs/html/userhtmlsu9.html +++ b/docs/html/userhtmlsu9.html @@ -10,7 +10,7 @@ -

[nextMethod hierarchy_build

-

-

+

call p,info)

-

This method builds the hierarchy of matrices and restriction/prolongation operators for the multilevel preconditioner init and set. -

Arguments

a

type(psb_).

The sparse matrix structure containing the local part of the matrix to be preconditioned. Note that ].

desc_a

type(psb_desc_type).

The communication descriptor of a. See the PSBLAS User’s Guide @@ -136,9 +136,9 @@ class="cmr-12">].

info

integer, ).

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

-

[next] [up]

-