From 3bfe62517b542c66cd30ca7dbbbbfe7d91237aa1 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Wed, 10 Mar 2021 13:19:00 +0100 Subject: [PATCH] New description of min_coarse_size_per_process --- docs/amg4psblas_1.0-guide.pdf | Bin 1749842 -> 1750250 bytes docs/html/index.html | 4 +- docs/html/userhtml.css | 61 ++- docs/html/userhtml.html | 4 +- docs/html/userhtml0x.png | Bin 905 -> 892 bytes docs/html/userhtml10x.png | Bin 1938 -> 1915 bytes docs/html/userhtml11x.png | Bin 1299 -> 1283 bytes docs/html/userhtml12x.png | Bin 818 -> 794 bytes docs/html/userhtml13x.png | Bin 6258 -> 6105 bytes docs/html/userhtml14x.png | Bin 5287 -> 5279 bytes docs/html/userhtml15x.png | Bin 1016 -> 1020 bytes docs/html/userhtml16x.png | Bin 2319 -> 2376 bytes docs/html/userhtml17x.png | Bin 8820 -> 8762 bytes docs/html/userhtml18x.png | Bin 4223 -> 4205 bytes docs/html/userhtml1x.png | Bin 2101 -> 2060 bytes docs/html/userhtml2x.png | Bin 905 -> 892 bytes docs/html/userhtml3x.png | Bin 2853 -> 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| 106 ++--- docs/html/userhtmlsu15.html | 104 ++--- docs/html/userhtmlsu16.html | 34 +- docs/html/userhtmlsu17.html | 48 +- docs/html/userhtmlsu18.html | 162 +++---- docs/html/userhtmlsu2.html | 4 +- docs/html/userhtmlsu3.html | 336 +++++++------- docs/html/userhtmlsu4.html | 4 +- docs/html/userhtmlsu5.html | 4 +- docs/html/userhtmlsu6.html | 4 +- docs/html/userhtmlsu7.html | 4 +- docs/html/userhtmlsu8.html | 4 +- docs/html/userhtmlsu9.html | 177 ++++--- docs/src/userguide.tex | 2 +- docs/src/userhtml.tex | 2 +- docs/src/userinterface.tex | 20 +- tests/pdegen/runs/amg_pde3d.inp | 2 +- 58 files changed, 1143 insertions(+), 1143 deletions(-) diff --git a/docs/amg4psblas_1.0-guide.pdf b/docs/amg4psblas_1.0-guide.pdf index 9149cbb078f9c5a2e00ec232612dca59acd267c8..052a00fc2c862e643095ea03c98cfab204b642c7 100644 GIT binary patch delta 57404 zcmbS!bwHHO^SE?L-4jO$9EwVN9X7U7Dq;aD5`rQiU<+8-0S0S}ufBHI>1!c&V_{%- zD|Y*ved6Q}eBaOa_Xm2n&&=%X?Ci|!>^yrH9`%3rw10l0k+h)SW+Uk~C!-lgM$*}< 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- + + diff --git a/docs/html/userhtmlli2.html b/docs/html/userhtmlli2.html index 51ce9e89..d4951d95 100644 --- a/docs/html/userhtmlli2.html +++ b/docs/html/userhtmlli2.html @@ -3,8 +3,8 @@ Contents - - + + diff --git a/docs/html/userhtmlli3.html b/docs/html/userhtmlli3.html index 8f21df5b..427c08de 100644 --- a/docs/html/userhtmlli3.html +++ b/docs/html/userhtmlli3.html @@ -3,8 +3,8 @@ Contributors - - + + diff --git a/docs/html/userhtmlli4.html b/docs/html/userhtmlli4.html index 9982e48d..3d08c9de 100644 --- a/docs/html/userhtmlli4.html +++ b/docs/html/userhtmlli4.html @@ -3,8 +3,8 @@ References - - + + diff --git a/docs/html/userhtmlse1.html b/docs/html/userhtmlse1.html index effaef45..23dc344e 100644 --- a/docs/html/userhtmlse1.html +++ b/docs/html/userhtmlse1.html @@ -3,8 +3,8 @@ General Overview - - + + diff --git a/docs/html/userhtmlse2.html b/docs/html/userhtmlse2.html index 7e4a34c9..9419886e 100644 --- a/docs/html/userhtmlse2.html +++ b/docs/html/userhtmlse2.html @@ -3,8 +3,8 @@ Code Distribution - - + + diff --git a/docs/html/userhtmlse3.html b/docs/html/userhtmlse3.html index 3d387de1..d7c25275 100644 --- a/docs/html/userhtmlse3.html +++ b/docs/html/userhtmlse3.html @@ -3,8 +3,8 @@ Configuring and Building AMG4PSBLAS - - + + diff --git a/docs/html/userhtmlse4.html b/docs/html/userhtmlse4.html index a9dd4d6d..afa54f6a 100644 --- a/docs/html/userhtmlse4.html +++ b/docs/html/userhtmlse4.html @@ -3,8 +3,8 @@ Multigrid Background - - + + diff --git a/docs/html/userhtmlse5.html b/docs/html/userhtmlse5.html index e202b770..29409148 100644 --- a/docs/html/userhtmlse5.html +++ b/docs/html/userhtmlse5.html @@ -3,8 +3,8 @@ Getting Started - - + + @@ -239,7 +239,7 @@ class="cmcsc-10x-x-109">type e

string g

der

No preconditioner No preconditioner

’NONE’ ’NONE’

Considered to use the PSBLAS Krylov solvers with no preconditioner.

Diagonal Diagonal

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

Diagonal preconditioner. For any zero diagonal entry of the matrix to be preconditioned, the corresponding entry of the preconditioner is set @@ -295,47 +295,47 @@ to 1.

Gauss-Seidel Gauss-Seidel

’GS’, ’L1-GS’ ’L1-GS’

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

Symmetrized Gauss-SeidelSymmetrized Gauss-Seidel

’FBGS’, ’L1-FBGS’ ’L1-FBGS’

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

Block Jacobi Block Jacobi

’BJAC’, ’L1-BJAC’ ’L1-BJAC’

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

Additive Schwarz Additive Schwarz

’AS’ ’AS’

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

Multilevel Multilevel

’ML’ ’ML’

V-cycle with one hybrid forward Gauss-Seidel (GS) sweep as pre-smoother and one hybrid backward GS diff --git a/docs/html/userhtmlse6.html b/docs/html/userhtmlse6.html index 9e9713a2..075c9956 100644 --- a/docs/html/userhtmlse6.html +++ b/docs/html/userhtmlse6.html @@ -3,8 +3,8 @@ User Interface - - + + diff --git a/docs/html/userhtmlse7.html b/docs/html/userhtmlse7.html index 7955aa25..e4454cff 100644 --- a/docs/html/userhtmlse7.html +++ b/docs/html/userhtmlse7.html @@ -3,8 +3,8 @@ Adding new smoother and solver objects to AMG4PSBLAS - - + + @@ -142,27 +142,27 @@ cellspacing="0" cellpadding="0" >

smoother smoother

class(amg_x_base_smoother_type)

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

solver solver

class(amg_x_base_solver_type)

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

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 - 
  !  intermediate levels. All other parameters are at default values. - 
  ! - 
  call prec%init(’ML’,       info) - 
  call prec%hierarchy_build(a,desc_a,info) - 
  nlv = prec%get_nlevs() - 
  call prec%set(tlusv,   info,ilev=1,ilmax=max(1,nlv-1)) - 
  call prec%smoothers_build(a,desc_a,info) - 
-
+ 
+  ! 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
+  !  intermediate levels. All other parameters are at default values.
+  !
+  call prec%init(’ML’,       info)
+  call prec%hierarchy_build(a,desc_a,info)
+  nlv = prec%get_nlevs()
+  call prec%set(tlusv,   info,ilev=1,ilmax=max(1,nlv-1))
+  call prec%smoothers_build(a,desc_a,info)
+

diff --git a/docs/html/userhtmlse8.html b/docs/html/userhtmlse8.html index 4c7a1d69..c70950e5 100644 --- a/docs/html/userhtmlse8.html +++ b/docs/html/userhtmlse8.html @@ -3,8 +3,8 @@ Error Handling - - + + diff --git a/docs/html/userhtmlse9.html b/docs/html/userhtmlse9.html index 2742a00c..faaf0b4b 100644 --- a/docs/html/userhtmlse9.html +++ b/docs/html/userhtmlse9.html @@ -3,8 +3,8 @@ License - - + + @@ -42,42 +42,37 @@ class="cmr-12">terms: -

- 
                           AMG4PSBLAS  version 1.0 - 
              Algebraic MultiGrid Preconditioners Package - 
             based on PSBLAS (Parallel Sparse BLAS version 3.5) - 
- 
  (C) Copyright 2008, 2010, 2012, 2015, 2017 - 
- 
  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: - 
    1. Redistributions of source code must retain the above copyright - 
       notice, this list of conditions and the following disclaimer. - 
    2. Redistributions in binary form must reproduce the above copyright - 
       notice, this list of conditions, and the following disclaimer in the - 
       documentation and/or other materials provided with the distribution. - 
    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 - 
  PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS - 
  BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR - 
  CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF - 
  SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS - 
  INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN - 
  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  version 1.0
+              Algebraic MultiGrid Preconditioners Package
+             based on PSBLAS (Parallel Sparse BLAS version 3.5)
+  (C) Copyright 2008, 2010, 2012, 2015, 2017
+  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:
+    1. Redistributions of source code must retain the above copyright
+       notice, this list of conditions and the following disclaimer.
+    2. Redistributions in binary form must reproduce the above copyright
+       notice, this list of conditions, and the following disclaimer in the
+       documentation and/or other materials provided with the distribution.
+    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
+  PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
+  BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+  CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+  SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+  INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+  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.
+

diff --git a/docs/html/userhtmlsu1.html b/docs/html/userhtmlsu1.html index 710c0f11..ade73aaa 100644 --- a/docs/html/userhtmlsu1.html +++ b/docs/html/userhtmlsu1.html @@ -3,8 +3,8 @@ Prerequisites - - + + diff --git a/docs/html/userhtmlsu10.html b/docs/html/userhtmlsu10.html index 28a07f12..51b73ab8 100644 --- a/docs/html/userhtmlsu10.html +++ b/docs/html/userhtmlsu10.html @@ -3,8 +3,8 @@ Method init - - + + @@ -44,28 +44,28 @@ cellspacing="0" cellpadding="0" >

icontxt icontxt

integer, intent(in).

The communication context.

ptype ptype

character(len=*), intent(in).

The type of preconditioner. Its values are specified in Table 1.

Note that the strings are case insensitive.

info info

integer, intent(out).

Error code. If no error, 0 is returned. See Section 8 for details. diff --git a/docs/html/userhtmlsu11.html b/docs/html/userhtmlsu11.html index c06bb01d..9bed5838 100644 --- a/docs/html/userhtmlsu11.html +++ b/docs/html/userhtmlsu11.html @@ -3,8 +3,8 @@ Method set - - + + @@ -61,15 +61,15 @@ cellspacing="0" cellpadding="0" >

what what

character(len=*).

The parameter to be set. It can be specified through its name; the 8.

val   

integer or , intent(in).

The value of the parameter to be set. The list of allowed values and is of type character(len=*), it is also treated as case insensitive.

info info

integer, intent(out).

Error code. If no error, 0 is returned. See Section 8 for details.

ilev ilev

integer, optional, intent(in).

For the multilevel preconditioner, the level at which the 8).

ilmax ilmax

integer, optional, intent(in).

For the multilevel preconditioner, when both ilev The levels are numbered in increasing order starting from the fin one, i.e., level 1 is the finest level.

pos pos

charater(len=*), optional, intent(in).

Whether the other arguments apply only to the pre-smoother not concern the smoothers, pos is ignored.

idx idx

integer, optional, intent(in).

An auxiliary input argument that can be passed to the underlying

what a type e

val val

dfault t

cnts

’ML_CYCLE’ character(len=*)character(len=*)

’VCYCLE’

’WCYCLE’

’KCYCLE’

’ADD’ ’ADD’

’VCYCLE’ ’VCYCLE’

Multilevel cycle: V-cycle, W-cycle, K-cycle, and additive composition.

’OUTER_SWEEPS’ integer integer

Any integer

number ≥ 1

1 ≥ 1

1

Number of multilevel cycles.


Table 2:

what what da type e

val val

dfault t

cments -s

’MIN_COARSE_SIZE’ ’MIN_COARSE_SIZE_PER_PROCESS’ integer integer

Any number

> 0

⌊40√ -- -3 n⌋, where n -is the dimension -of the matrix at -the finest level

Coarse size threshold. The aggregation +class="cmmi-10x-x-109">> 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. +

+

’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). -

+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’

’MIN_CR_RATIO’ real

Any number -

> 1

1.5

Minimum +class="cmtt-10x-x-109">real

Any number +

> 1

1.5

Minimum coarsening ratio. The aggregation stops if the ratio between the matrix dimensions at two consecutive levels is lower than or equal to this threshold (see Note).

’MAX_LEVS’

’MAX_LEVS’ integer

Any integer -

number > 1

20

Maximum number of levels. The +class="cmtt-10x-x-109">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’

’PAR_AGGR_ALG’ character(len=*)

character(len=*)

’DEC’, ’SYMDEC’, ’COUPLED’

’DEC’

Parallel aggregation algorithm. -

Currently, only the decoupled +class="cmtt-10x-x-109">’COUPLED’

’DEC’

Parallel aggregation algorithm. +

Currently, only the decoupled aggregation (DEC) is available; the SYMDEC @@ -692,19 +703,20 @@ class="cmmi-10x-x-109">AT .

’AGGR_TYPE’

’AGGR_TYPE’ character(len=*)

’SOC1’

’SOC1’, character(len=*)

’SOC1’

’SOC1’, +’SOC2’, ’MATCHBOXP’

Type of aggregation algorithm: currently, +class="cmtt-10x-x-109">’MATCHBOXP’

Type of aggregation algorithm: currently, we implement to measures of strength of connection, the one by Vaněk, Mandel and Brezina [[18].

’AGGR_PROL’

’AGGR_PROL’ character(len=*)

character(len=*)

’SMOOTHED’, ’UNSMOOTHED’

’SMOOTHED’

Prolongator used by the aggregation +class="cmtt-10x-x-109">’UNSMOOTHED’

’SMOOTHED’

Prolongator used by the aggregation algorithm: smoothed or unsmoothed (i.e., tentative prolongator).

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. Therefore, the actual number of levels may be
-
smaller than the specified maximum number of levels.
-
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.
+
+ style="vertical-align:baseline;" id="TBL-5-12-"> +
Table 3: Parameters defining the aggregation algorithm.
@@ -754,7 +767,7 @@ class="content">Parameters defining the aggregation algorithm.

@@ -762,7 +775,7 @@ class="content">Parameters defining the aggregation algorithm.

+

Note. Different thresholds at different levels, such as those used in [28, Section 5.1], can be easily set by invoking the rou-
-
tine set with the parameter ilev.
-

what

a type

val

e

val

default

t

conts

’AGGR_ORD’

character(len=*)

character(len=*)

’NATURAL’ -

’DEGREE’

’NATURAL’

Initial ordering of indices for the +

’DEGREE’

’NATURAL’

Initial ordering of indices for the 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 )

Any real +

number ∈ [0,1]

0.01

The threshold ,1]

0.01

The threshold θ in the aggregation algorithm, see (3) in Section 4.2. also the note at the bottom of this table.

’AGGR_FILTER’

character(len=*)

character(len=*)

’FILTER’ -

’NOFILTER’

’NOFILTER’

Matrix used in computing the smoothed +

’NOFILTER’

’NOFILTER’

Matrix used in computing the smoothed prolongator: filtered or unfiltered (see (5) in Section 4.2).

tine

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

@@ -898,7 +911,7 @@ class="content">Parameters defining the aggregation algorithm (continued). -

+

Note. Defaults for COARSE_SOLVE and COARSE_SUBSOLVE are chosen in the following order:
-
single precision version – MUMPS if installed, then SLU if installed, ILU otherwise;
-
double precision version – UMF if installed, then MUMPS if installed, then SLU if installed, ILU otherwise.
-

what

a type

val

e

val

default

t

conts

’COARSE_MAT’

character(len=*)

character(len=*)

’DIST’ -

’REPL’

’REPL’

Coarsest matrix layout: distributed among the +

’REPL’

’REPL’

Coarsest matrix layout: distributed among the processes or replicated on each of them.

’COARSE_SOLVE’

character(len=*)

character(len=*)

’MUMPS’ -

’UMF’ -

’SLU’ -

’SLUDIST’ -

’JACOBI’ -

’GS’ -

’BJAC’

See Note.

Solver used at the coarsest level: sequential LU +

’BJAC’

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. -

Note that

Note that UMF and SLU require the coarsest matrix to be replicated,

’COARSE_SUBSOLVE’

character(len=*)

character(len=*)

’ILU’ -

’ILUT’ -

’MILU’ -

’MUMPS’ -

’SLU’ -

’UMF’

See Note.

Solver for the diagonal blocks of the coarse matrix, +

’UMF’

See Note.

Solver for the diagonal blocks of the coarse matrix, in case the block Jacobi solver is chosen as coarsest-level solver: ILU(p), ILU(

single precision version –
double precision version –

Table 5: Parameters defining the coarse-space correction at the coarsest -

@@ -1075,7 +1088,7 @@ class="content">Parameters defining the coarse-space correction at the coarsest
-

+

what

a type

val

e

val

default

t

conts

’COARSE_SWEEPS’

integer

Any integer -

number > 0

10

Number of sweeps when integer

Any integer +

number > 0

10

Number of sweeps when JACOBI, GS or BJAC is chosen as coarsest-level solver.

’COARSE_FILLIN’

integer

Any integer -

number ≥ 0

0

Fill-in level integer

Any integer +

number ≥ 0

0

Fill-in level p of the ILU factorizations.

’COARSE_ILUTHRS’

real(kind_parameter)

Any real -

number ≥ 0

0

Drop tolerance )

Any real +

number ≥ 0

0

Drop tolerance t in the ILU(p,t) factorization.


Table 6: Parameters defining the coarse-space correction at the co -

@@ -1190,7 +1203,7 @@ class="content">Parameters defining the coarse-space correction at the co
-

+

what

a type

val

e

val

default

t

conts

’SMOOTHER_TYPE’

character(len=*)

character(len=*)

’JACOBI’ -

’GS’ -

’BGS’ -

’BJAC’ -

’AS’

’FBGS’

’AS’

’FBGS’

Type of smoother used in the multilevel preconditioner: point-Jacobi, hybrid @@ -1262,34 +1275,34 @@ class="cmr-10">(forward) Gauss-Seidel, hybrid backward class="cmr-10">Gauss-Seidel, block-Jacobi, and Additive Schwarz. -

It is ignored by one-level preconditioners.

’SUB_SOLVE’

character(len=*)

character(len=*)

’JACOBI’ -

’GS’ -

’BGS’ -

’ILU’ -

’ILUT’ -

’MILU’ -

’MUMPS’ -

’SLU’ -

’UMF’

’UMF’

GS and BGS multilevel class="cmr-10">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 @@ -1337,21 +1350,21 @@ class="cmr-10">or UMFPACK (plus triangular solve). See class="cmr-10">Note for details on hybrid Gauss-Seidel.

’SMOOTHER_SWEEPS’

integer

integer

Any integer -

number ≥ 0

1

0

1

Number of sweeps of the smoother or one-level preconditioner. In the multilevel @@ -1369,27 +1382,27 @@ class="cmr-10">, class="cmr-10">respectively.

’SUB_OVR’

integer

integer

Any integer -

number ≥ 0

1

0

1

Number of overlap layers, for Additive Schwarz only.


Table 7:
-

@@ -1412,7 +1425,7 @@ preconditioner.
-

+

what

a type

val

e

val

default

t

conts

’SUB_RESTR’

character(len=*)

character(len=*)

’HALO’ -

’NONE’

’HALO’

’NONE’

’HALO’

Type of restriction operator, for Additive Schwarz only: for taking into account the class="cmr-10">overlap, NONE for neglecting it. -

Note that HALO must be chosen for the classical @@ -1488,18 +1501,18 @@ class="cmr-10">Addditive Schwarz smoother and its RAS class="cmr-10">variant.

’SUB_PROL’

character(len=*)

character(len=*)

’SUM’ -

’NONE’

’NONE’

’NONE’

’NONE’

Type of prolongation operator, for Additive Schwarz only: for adding the contributions class="cmr-10">from the overlap, NONE for neglecting them. -

Note that SUM must be chosen for the classical @@ -1521,21 +1534,21 @@ class="cmr-10">for its class="cmr-10">RAS variant.

’SUB_FILLIN’

integer

integer

Any integer -

number ≥ 0

0

0

0

Fill-in level p of the incomplete LU @@ -1543,45 +1556,45 @@ class="cmr-10">of the incomplete LU class="cmr-10">factorizations.

’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=*)

character(len=*)

LOCAL_SOLVER’ -

GLOBAL_SOLVER’

_SOLVER’

GLOBAL_SOLVER’

_SOLVER’

Whether MUMPS should be used as a distributed solver, or as a serial solver acting @@ -1590,36 +1603,36 @@ class="cmr-10">only on the part of the matrix local to each process.

’MUMPS_IPAR_ENTRY’

integer

integer

Any integer number

0

number

0

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

’MUMPS_RPAR_ENTRY’

real

real

Any real number

0

number

0

Set an entry in the MUMPS real control array, as chosen via the idx optional argument.


Table 8: Parameters defining the smoother or the details of the one-level -

[next] [up]

-

diff --git a/docs/html/userhtmlsu12.html b/docs/html/userhtmlsu12.html index 5f9adaec..929fcd1e 100644 --- a/docs/html/userhtmlsu12.html +++ b/docs/html/userhtmlsu12.html @@ -3,14 +3,14 @@ Method hierarchy_build - - + + -

[nextMethod hierarchy_build

-

-

+

call p%hierarchy_build(a,desc_a,info)

-

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

Arguments

a

a

type(psb_xspmat_type), intent(in).

The sparse matrix structure containing the local part of the matrix to be preconditioned. Note that 15].

desc_a

desc_a

type(psb_desc_type), intent(in).

The communication descriptor of a. See the PSBLAS User’s Guide @@ -108,24 +108,24 @@ class="cmr-12">15].

info

info

integer, intent(out).

Error code. If no error, 0 is returned. See Section 8 for details.

@@ -133,7 +133,7 @@ class="td11">
-

[next] [up]

-

diff --git a/docs/html/userhtmlsu13.html b/docs/html/userhtmlsu13.html index 95c9fd14..5966f850 100644 --- a/docs/html/userhtmlsu13.html +++ b/docs/html/userhtmlsu13.html @@ -3,14 +3,14 @@ Method smoothers_build - - + + -

[nextMethod smoothers_build

-

-

+

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  6.3). -

Arguments

a

a

type(psb_xspmat_type), intent(in).

The sparse matrix structure containing the local part of the matrix to be preconditioned. Note that 15].

desc_a

desc_a

type(psb_desc_type), intent(in).

The communication descriptor of a. See the PSBLAS User’s Guide @@ -114,27 +114,27 @@ class="cmr-12">15].

info

info

integer, intent(out).

Error code. If no error, 0 is returned. See Section 8 for details.

amold

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 @@ -156,10 +156,10 @@ class="cmr-12">15].

vmold

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

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.

@@ -198,7 +198,7 @@ class="td11">
-

[next] [up]

-

diff --git a/docs/html/userhtmlsu14.html b/docs/html/userhtmlsu14.html index 99a4ad03..ca04d22e 100644 --- a/docs/html/userhtmlsu14.html +++ b/docs/html/userhtmlsu14.html @@ -3,14 +3,14 @@ Method build - - + + -

[next6.5 Method build

-

-

+

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

-

This method builds the preconditioner p according to the requirements made by the @@ -67,26 +67,26 @@ class="cmtt-12">smoothers_build, whose nomenclature would however be somewhat unnatural when dealing with simple one-level preconditioners. -

Arguments

a

a

type(psb_xspmat_type), intent(in).

The sparse matrix structure containing the local part of the matrix to be preconditioned. Note that 15].

desc_a

desc_a

type(psb_desc_type), intent(in).

The communication descriptor of a. See the PSBLAS User’s Guide @@ -124,27 +124,27 @@ class="cmr-12">15].

info

info

integer, intent(out).

Error code. If no error, 0 is returned. See Section 8 for details.

amold

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 @@ -166,10 +166,10 @@ class="cmr-12">15].

vmold

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

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. @@ -210,7 +210,7 @@ class="cmr-12">The method can be used to build multilevel preconditioners too.

[next] [up]

-

diff --git a/docs/html/userhtmlsu15.html b/docs/html/userhtmlsu15.html index ab42157a..5917ac15 100644 --- a/docs/html/userhtmlsu15.html +++ b/docs/html/userhtmlsu15.html @@ -3,14 +3,14 @@ Method apply - - + + -

[next6.6 Method apply

-

-

+

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

-

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

Arguments

x

x

type(kind dimension(:), intent(in).

The local part of the vector x. Note that must be chosen according to the real/complex, single/doubl precision version of AMG4PSBLAS under use.

y

y

type(kind dimension(:), intent(out).

The local part of the vector y. Note that must be chosen according to the real/complex, single/doubl precision version of AMG4PSBLAS under use.

desc_a

desc_a

type(psb_desc_type), intent(in).

The communication descriptor associated to the matrix to be preconditioned.

info

info

integer, intent(out).

Error code. If no error, 0 is returned. See Section 8 for details.

trans

trans

character(len=1), optional, intent(in).

If trans = -1).

work

work

type(kind optional, target.

Workspace. Its size should be at least 4 *must be chosen according to the real/complex, single/double precision version of AMG4PSBLAS under use.

@@ -272,7 +272,7 @@ class="td11">
-

[next] [up]

-

diff --git a/docs/html/userhtmlsu16.html b/docs/html/userhtmlsu16.html index 6db4f539..1b0bac60 100644 --- a/docs/html/userhtmlsu16.html +++ b/docs/html/userhtmlsu16.html @@ -3,14 +3,14 @@ Method free - - + + -

[next6.7 Method free

-

-

+

call p%free(p,info)

-

This method deallocates the preconditioner data structure p. -

Arguments

info

info

integer, intent(out).

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

@@ -76,7 +76,7 @@ class="td11">
-

[next] [up]

-

diff --git a/docs/html/userhtmlsu17.html b/docs/html/userhtmlsu17.html index 718bf9d1..962b5fc8 100644 --- a/docs/html/userhtmlsu17.html +++ b/docs/html/userhtmlsu17.html @@ -3,14 +3,14 @@ Method descr - - + + -

[next6.8 Method descr

-

-

+

call p%descr(info, [iout])

-

This method prints a description of the preconditioner p to the standard output or to a @@ -53,52 +53,52 @@ class="cmtt-12">build, have been called. -

Arguments

info

info

integer, intent(out).

Error code. If no error, 0 is returned. See Section 8 for details.

iout

iout

integer, intent(in), optional.

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

-

[next] [up]

-

diff --git a/docs/html/userhtmlsu18.html b/docs/html/userhtmlsu18.html index 92ca4c1e..02578654 100644 --- a/docs/html/userhtmlsu18.html +++ b/docs/html/userhtmlsu18.html @@ -3,14 +3,14 @@ Auxiliary Methods - - + + -

[prev]

class="cmr-12">6.9 Auxiliary Methods -

Various functionalities are implemented as additional methods of the preconditioner object. -

+

6.9.1 Method: dump
-

-

+

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

-

Dump on file. -

Arguments

info

info

integer, intent(out).

Error code. If no error, 0 is returned. See Section 8 for details.

amold

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 @@ -95,45 +95,45 @@ class="cmr-12">15].

-

+

6.9.2 Method: clone
-

-

+

call p%clone(pout,info)

-

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

Arguments

pout

pout

type(amg_xprec_type), intent(out).

The copy of the preconditioner data structure. Note that x must @@ -142,42 +142,42 @@ class="cmr-12">be chosen according to the real/complex, single/double precision< version of AMG4PSBLAS under use.

info

info

integer, intent(out).

Error code. If no error, 0 is returned. See Section 8 for details.

-

+

6.9.3 Method: sizeof
-

-

+

sz =  p%sizeof()

-

Return memory footprint in bytes. -

+

6.9.4 Method: allocate_wrk
-

-

+

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 @@ -223,34 +223,34 @@ class="cmr-12">argument to the apply method. -

Arguments

info

info

integer, intent(out).

Error code. If no error, 0 is returned. See Section 8 for details.

vmold

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.

-

+

6.9.5 Method: free_wrk
-

-

+

call p%free_wrk(info)

-

Deallocate internal work vectors. -

Arguments

info

info

integer, intent(out).

Error code. If no error, 0 is returned. See Section 8 for details.

diff --git a/docs/html/userhtmlsu2.html b/docs/html/userhtmlsu2.html index 67c015dc..2c7eef18 100644 --- a/docs/html/userhtmlsu2.html +++ b/docs/html/userhtmlsu2.html @@ -3,8 +3,8 @@ Optional third party libraries - - + + diff --git a/docs/html/userhtmlsu3.html b/docs/html/userhtmlsu3.html index ce2d0f5c..2edc4bed 100644 --- a/docs/html/userhtmlsu3.html +++ b/docs/html/userhtmlsu3.html @@ -3,8 +3,8 @@ Configuration options - - + + @@ -44,9 +44,9 @@ class="cmr-12">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 produces: -

+ 
 ‘configure’ configures MLD2P4 2.1.1 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]
+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/mld2p4]
- 
  --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.
- 
  --enable-long-integers  Specify usage of 64 bits integers.
- 

- 
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,
- 
                          --with-psblas=/opt/packages/psblas-3.5
- 
  --with-psblas-incdir=DIR
- 
                          Specify the directory for PSBLAS C includes.
- 
  --with-psblas-moddir=DIR
+  --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/mld2p4]
+  --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.
+  --enable-long-integers  Specify usage of 64 bits integers.
+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,
+                          --with-psblas=/opt/packages/psblas-3.5
+  --with-psblas-incdir=DIR
+                          Specify the directory for PSBLAS C includes.
+  --with-psblas-moddir=DIR
                                                                                
 
                                                                                
- 
                          Specify the directory for PSBLAS Fortran modules.
- 
  --with-psblas-libdir=DIR
- 
                          Specify the directory for PSBLAS library.
- 
  --with-ccopt            additional [CCOPT] flags to be added: will prepend
- 
                          to [CCOPT]
- 
  --with-fcopt            additional [FCOPT] flags to be added: will prepend
- 
                          to [FCOPT]
- 
  --with-libs             List additional link flags here. For example,
- 
                          --with-libs=-lspecial_system_lib or
- 
                          --with-libs=-L/path/to/libs
- 
  --with-clibs            additional [CLIBS] flags to be added: will prepend
- 
                          to [CLIBS]
- 
  --with-flibs            additional [FLIBS] flags to be added: will prepend
- 
                          to [FLIBS]
- 
  --with-library-path     additional [LIBRARYPATH] flags to be added: will
- 
                          prepend to [LIBRARYPATH]
- 
  --with-include-path     additional [INCLUDEPATH] flags to be added: will
- 
                          prepend to [INCLUDEPATH]
- 
  --with-module-path      additional [MODULE_PATH] flags to be added: will
- 
                          prepend to [MODULE_PATH]
- 
  --with-extra-libs       List additional link flags here. For example,
- 
                          --with-extra-libs=-lspecial_system_lib or
- 
                          --with-extra-libs=-L/path/to/libs
- 
  --with-blas=<lib>       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
- 
                          with minimum "-lmumps_common -lpord"
- 
  --with-mumpsdir=DIR     Specify the directory for MUMPS library and
- 
                          includes. Note: you will need to add auxiliary
- 
                          libraries with --extra-libs; this depends on how
- 
                          MUMPS was configured and installed, at a minimum you
- 
                          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  Specify the directory for MUMPS library.
- 
  --with-umfpack=LIBNAME  Specify the library name for UMFPACK and its support
- 
                          libraries. Default: "-lumfpack -lamd"
- 
  --with-umfpackdir=DIR   Specify the directory for UMFPACK library and
- 
                          includes.
- 
  --with-umfpackincdir=DIR
- 
                          Specify the directory for UMFPACK includes.
+                          Specify the directory for PSBLAS Fortran modules.
+  --with-psblas-libdir=DIR
+                          Specify the directory for PSBLAS library.
+  --with-ccopt            additional [CCOPT] flags to be added: will prepend
+                          to [CCOPT]
+  --with-fcopt            additional [FCOPT] flags to be added: will prepend
+                          to [FCOPT]
+  --with-libs             List additional link flags here. For example,
+                          --with-libs=-lspecial_system_lib or
+                          --with-libs=-L/path/to/libs
+  --with-clibs            additional [CLIBS] flags to be added: will prepend
+                          to [CLIBS]
+  --with-flibs            additional [FLIBS] flags to be added: will prepend
+                          to [FLIBS]
+  --with-library-path     additional [LIBRARYPATH] flags to be added: will
+                          prepend to [LIBRARYPATH]
+  --with-include-path     additional [INCLUDEPATH] flags to be added: will
+                          prepend to [INCLUDEPATH]
+  --with-module-path      additional [MODULE_PATH] flags to be added: will
+                          prepend to [MODULE_PATH]
+  --with-extra-libs       List additional link flags here. For example,
+                          --with-extra-libs=-lspecial_system_lib or
+                          --with-extra-libs=-L/path/to/libs
+  --with-blas=<lib>       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
+                          with minimum "-lmumps_common -lpord"
+  --with-mumpsdir=DIR     Specify the directory for MUMPS library and
+                          includes. Note: you will need to add auxiliary
+                          libraries with --extra-libs; this depends on how
+                          MUMPS was configured and installed, at a minimum you
+                          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  Specify the directory for MUMPS library.
+  --with-umfpack=LIBNAME  Specify the library name for UMFPACK and its support
+                          libraries. Default: "-lumfpack -lamd"
+  --with-umfpackdir=DIR   Specify the directory for UMFPACK library and
+                          includes.
+  --with-umfpackincdir=DIR
+                          Specify the directory for UMFPACK includes.
                                                                                
 
                                                                                
- 
  --with-umfpacklibdir=DIR
- 
                          Specify the directory for UMFPACK library.
- 
  --with-superlu=LIBNAME  Specify the library name for SUPERLU library.
- 
                          Default: "-lsuperlu"
- 
  --with-superludir=DIR   Specify the directory for SUPERLU library and
- 
                          includes.
- 
  --with-superluincdir=DIR
- 
                          Specify the directory for SUPERLU includes.
- 
  --with-superlulibdir=DIR
- 
                          Specify the directory for SUPERLU library.
- 
  --with-superludist=LIBNAME
- 
                          Specify the libname for SUPERLUDIST library.
- 
                          Requires you also specify SuperLU. Default:
- 
                          "-lsuperlu_dist"
- 
  --with-superludistdir=DIR
- 
                          Specify the directory for SUPERLUDIST library and
- 
                          includes.
- 
  --with-superludistincdir=DIR
- 
                          Specify the directory for SUPERLUDIST includes.
- 
  --with-superludistlibdir=DIR
- 
                          Specify the directory for SUPERLUDIST library.
- 

- 
Some influential environment variables:
- 
  FC          Fortran compiler command
- 
  FCFLAGS     Fortran compiler flags
- 
  LDFLAGS     linker flags, e.g. -L<lib dir> if you have libraries in a
- 
              nonstandard directory <lib dir>
- 
  LIBS        libraries to pass to the linker, e.g. -l<library>
- 
  CC          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>
- 
  MPICC       MPI C compiler command
- 
  MPIFC       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/sfilippone/mld2p4-2/issues>.
-
+  --with-umfpacklibdir=DIR +                          Specify the directory for UMFPACK library. +  --with-superlu=LIBNAME  Specify the library name for SUPERLU library. +                          Default: "-lsuperlu" +  --with-superludir=DIR   Specify the directory for SUPERLU library and +                          includes. +  --with-superluincdir=DIR +                          Specify the directory for SUPERLU includes. +  --with-superlulibdir=DIR +                          Specify the directory for SUPERLU library. +  --with-superludist=LIBNAME +                          Specify the libname for SUPERLUDIST library. +                          Requires you also specify SuperLU. Default: +                          "-lsuperlu_dist" +  --with-superludistdir=DIR +                          Specify the directory for SUPERLUDIST library and +                          includes. +  --with-superludistincdir=DIR +                          Specify the directory for SUPERLUDIST includes. +  --with-superludistlibdir=DIR +                          Specify the directory for SUPERLUDIST library. +Some influential environment variables: +  FC          Fortran compiler command +  FCFLAGS     Fortran compiler flags +  LDFLAGS     linker flags, e.g. -L<lib dir> if you have libraries in a +              nonstandard directory <lib dir> +  LIBS        libraries to pass to the linker, e.g. -l<library> +  CC          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> +  MPICC       MPI C compiler command +  MPIFC       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/sfilippone/mld2p4-2/issues>. +

For instance, if a user has built and installed PSBLAS 3.7 under the might be configured with: -

+ 
  ./configure --with-psblas=/opt/psblas-3.5/ \
- 
 --with-umfpackincdir=/usr/include/suitesparse/
-
+ --with-umfpackincdir=/usr/include/suitesparse/ +

Once the configure script has completed execution, it will have generated the file To build the library the user will now enter -

+ 
 make
-
+

followed (optionally) by -

+ 
 make install
-
+

diff --git a/docs/html/userhtmlsu4.html b/docs/html/userhtmlsu4.html index c0f4b70c..9da6b478 100644 --- a/docs/html/userhtmlsu4.html +++ b/docs/html/userhtmlsu4.html @@ -3,8 +3,8 @@ Bug reporting - - + + diff --git a/docs/html/userhtmlsu5.html b/docs/html/userhtmlsu5.html index 46635673..180920d1 100644 --- a/docs/html/userhtmlsu5.html +++ b/docs/html/userhtmlsu5.html @@ -3,8 +3,8 @@ Example and test programs - - + + diff --git a/docs/html/userhtmlsu6.html b/docs/html/userhtmlsu6.html index 595a282d..7af9af3e 100644 --- a/docs/html/userhtmlsu6.html +++ b/docs/html/userhtmlsu6.html @@ -3,8 +3,8 @@ AMG preconditioners - - + + diff --git a/docs/html/userhtmlsu7.html b/docs/html/userhtmlsu7.html index 0a9213cb..5fe21a4a 100644 --- a/docs/html/userhtmlsu7.html +++ b/docs/html/userhtmlsu7.html @@ -3,8 +3,8 @@ Smoothed Aggregation - - + + diff --git a/docs/html/userhtmlsu8.html b/docs/html/userhtmlsu8.html index b3be72f7..43f88975 100644 --- a/docs/html/userhtmlsu8.html +++ b/docs/html/userhtmlsu8.html @@ -3,8 +3,8 @@ Smoothers and coarsest-level solvers - - + + diff --git a/docs/html/userhtmlsu9.html b/docs/html/userhtmlsu9.html index d62b4c54..b8235e31 100644 --- a/docs/html/userhtmlsu9.html +++ b/docs/html/userhtmlsu9.html @@ -3,8 +3,8 @@ Examples - - + + @@ -124,59 +124,58 @@ class="cmr-12">. -

+
   use psb_base_mod
- 
  use amg_prec_mod
- 
  use psb_krylov_mod
- 
... ...
- 
!
- 
! sparse matrix
- 
  type(psb_dspmat_type) :: A
- 
! sparse matrix descriptor
- 
  type(psb_desc_type)   :: desc_A
- 
! preconditioner
- 
  type(amg_dprec_type)  :: P
- 
! right-hand side and solution vectors
- 
  type(psb_d_vect_type) :: b, x
- 
... ...
- 
!
- 
! initialize the parallel environment
- 
  call psb_init(ictxt)
- 
  call psb_info(ictxt,iam,np)
- 
... ...
- 
!
- 
! read and assemble the spd matrix A and the right-hand side b
- 
! using PSBLAS routines for sparse matrix / vector management
- 
... ...
- 
!
- 
! initialize the default multilevel preconditioner, i.e. V-cycle
- 
! with basic smoothed aggregation, 1 hybrid forward/backward
- 
! GS sweep as pre/post-smoother and UMFPACK as coarsest-level
- 
! solver
- 
  call P%init(’ML’,info)
- 
!
- 
! 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
- 
  ... ...
- 
!
- 
! solve Ax=b with preconditioned CG
- 
  call psb_krylov(’CG’,A,P,b,x,tol,desc_A,info)
- 
  ... ...
- 
!
- 
! deallocate the preconditioner
- 
  call P%free(info)
- 
!
- 
! deallocate other data structures
- 
  ... ...
- 
!
- 
! exit the parallel environment
- 
  call psb_exit(ictxt)
- 
  stop
-
+  use amg_prec_mod +  use psb_krylov_mod +... ... +! +! sparse matrix +  type(psb_dspmat_type) :: A +! sparse matrix descriptor +  type(psb_desc_type)   :: desc_A +! preconditioner +  type(amg_dprec_type)  :: P +! right-hand side and solution vectors +  type(psb_d_vect_type) :: b, x +... ... +! +! initialize the parallel environment +  call psb_init(ictxt) +  call psb_info(ictxt,iam,np) +... ... +! +! read and assemble the spd matrix A and the right-hand side b +! using PSBLAS routines for sparse matrix / vector management +... ... +! +! initialize the default multilevel preconditioner, i.e. V-cycle +! with basic smoothed aggregation, 1 hybrid forward/backward +! GS sweep as pre/post-smoother and UMFPACK as coarsest-level +! solver +  call P%init(’ML’,info) +! +! 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 +  ... ... +! +! solve Ax=b with preconditioned CG +  call psb_krylov(’CG’,A,P,b,x,tol,desc_A,info) +  ... ... +! +! deallocate the preconditioner +  call P%free(info) +! +! deallocate other data structures +  ... ... +! +! exit the parallel environment +  call psb_exit(ictxt) +  stop +

@@ -274,19 +273,19 @@ 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
- 
! sweeps (with ILU(0) on the blocks) as coarsest-level solver
- 
  call P%init(’ML’,info)
- 
  call_P%set(’SMOOTHER_TYPE’,’BJAC’,info)
- 
  call P%set(’COARSE_SOLVE’,’BJAC’,info)
- 
  call P%set(’COARSE_SWEEPS’,8,info)
- 
  call P%hierarchy_build(A,desc_A,info)
- 
  call P%smoothers_build(A,desc_A,info)
- 
... ...
-
+! 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 +! sweeps (with ILU(0) on the blocks) as coarsest-level solver +  call P%init(’ML’,info) +  call_P%set(’SMOOTHER_TYPE’,’BJAC’,info) +  call P%set(’COARSE_SOLVE’,’BJAC’,info) +  call P%set(’COARSE_SWEEPS’,8,info) +  call P%hierarchy_build(A,desc_A,info) +  call P%smoothers_build(A,desc_A,info) +... ... +


Figure 3: setup of a multilevel preconditioner

-

+
 ... ...
- 
! build a W-cycle preconditioner with 2 hybrid Gauss-Seidel sweeps
- 
! as pre- and post-smoother, a distributed coarsest
- 
! matrix, and MUMPS as coarsest-level solver
- 
  call P%init(’ML’,info)
- 
  call P%set(’ML_CYCLE’,’WCYCLE’,info)
- 
  call P%set(’SMOOTHER_TYPE’,’FBGS’,info)
- 
  call P%set(’SMOOTHER_SWEEPS’,2,info)
- 
  call P%set(’COARSE_SOLVE’,’MUMPS’,info)
- 
  call P%set(’COARSE_MAT’,’DIST’,info)
- 
  call P%hierarchy_build(A,desc_A,info)
- 
  call P%smoothers_build(A,desc_A,info)
- 
... ...
-
+! build a W-cycle preconditioner with 2 hybrid Gauss-Seidel sweeps +! as pre- and post-smoother, a distributed coarsest +! matrix, and MUMPS as coarsest-level solver +  call P%init(’ML’,info) +  call P%set(’ML_CYCLE’,’WCYCLE’,info) +  call P%set(’SMOOTHER_TYPE’,’FBGS’,info) +  call P%set(’SMOOTHER_SWEEPS’,2,info) +  call P%set(’COARSE_SOLVE’,’MUMPS’,info) +  call P%set(’COARSE_MAT’,’DIST’,info) +  call P%hierarchy_build(A,desc_A,info) +  call P%smoothers_build(A,desc_A,info) +... ... +


Figure 4: setup of a multilevel preconditioner

-

+
 ... ...
- 
! set RAS with overlap 2 and ILU(0) on the local blocks
- 
  call P%init(’AS’,info)
- 
  call P%set(’SUB_OVR’,2,info)
- 
  call P%bld(A,desc_A,info)
- 
... ...
- 
! solve Ax=b with preconditioned BiCGSTAB
- 
  call psb_krylov(’BICGSTAB’,A,P,b,x,tol,desc_A,info)
-
+! set RAS with overlap 2 and ILU(0) on the local blocks +  call P%init(’AS’,info) +  call P%set(’SUB_OVR’,2,info) +  call P%bld(A,desc_A,info) +... ... +! solve Ax=b with preconditioned BiCGSTAB +  call psb_krylov(’BICGSTAB’,A,P,b,x,tol,desc_A,info) +


Figure 5: 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. + + \\ \hline \verb|'MIN_COARSE_SIZE'| & \verb|integer| & Any number \par $> 0$ - & $\lfloor 40 \sqrt[3]{n} \rfloor$, where $n$ is the dimension - of the matrix at the finest level + & -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). - + (see Note). If negative, it is ignored in + favour of the default for + \verb|'MIN_COARSE_SIZE_PER_PROCESS'|. \\ \hline \verb|'MIN_CR_RATIO'| & \verb|real| diff --git a/tests/pdegen/runs/amg_pde3d.inp b/tests/pdegen/runs/amg_pde3d.inp index 26e3d719..b3b29864 100644 --- a/tests/pdegen/runs/amg_pde3d.inp +++ b/tests/pdegen/runs/amg_pde3d.inp @@ -35,7 +35,7 @@ LLK ! AINV variant 1.d-4 ! Threshold T for ILU(T,P) %%%%%%%%%%% Multilevel parameters %%%%%%%%%%%%%%%% VCYCLE ! Type of multilevel CYCLE: VCYCLE WCYCLE KCYCLE MULT ADD -4 ! Number of outer sweeps for ML +1 ! Number of outer sweeps for ML -3 ! Max Number of levels in a multilevel preconditioner; if <0, lib default -3 ! Target coarse matrix size; if <0, lib default SMOOTHED ! Type of aggregation: SMOOTHED UNSMOOTHED