Table 1:
Preconditioner types, corresponding strings and default choices.
@@ -198,32 +210,32 @@ Preconditioner types, corresponding strings and default choices.
Subsections
-
-
-
Next: Next: Examples
- Up: Up: userhtml
- Previous: Previous: Smoothed Aggregation
- Contents
diff --git a/docs/html/node15.html b/docs/html/node15.html
index 28463dd5..f159067a 100644
--- a/docs/html/node15.html
+++ b/docs/html/node15.html
@@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
Next: Next: User Interface
- Up: Up: Getting Started
- Previous: Previous: Getting Started
- Contents
examples/fileread of the MLD2P4 tree (see
Section 3.5 ).
For details on the use of the PSBLAS routines, see the PSBLAS User's
Guide [16 ].
+ HREF="node27.html#PSBLASGUIDE">16].
The setup and application of the default multi-level
@@ -86,7 +86,7 @@ the corresponding Fortran 95 codes are available in examples/fileread/
-
+
Figure 2:
Setup and application of the default multi-level Schwarz preconditioner.
@@ -128,7 +128,9 @@ Setup and application of the default multi-level Schwarz preconditioner.
call mld_precinit(P,'ML',info)
!
! build the preconditioner
- call mld_precbld(A,desc_A,P,info)
+ call mld_hierarchy_bld(A,desc_A,P,info)
+ call mld_ml_prec_bld(A,desc_A,P,info)
+
!
! set the solver parameters and the initial guess
... ...
@@ -162,12 +164,12 @@ Figure 3 shows how to set a three-level hybrid Sc
preconditioner, which uses block Jacobi with ILU(0) on the
local blocks as post-smoother, has a coarsest matrix replicated on the processors,
and solves the coarsest-level system with the LU factorization from UMFPACK [9 ].
+ HREF="node27.html#UMFPACK">9].
Figure 4 shows how to set a three-level preconditioner
similar to the one of 3 , but the coarsest-level
systems is solved with the multifrontal factorization from
MUMPS [9 ].
+ HREF="node27.html#UMFPACK">9].
Note that MUMPS can be used on both replicated and distributed
coarsest level matrices, as a global and local solver respectively.
The number of levels is specified by using mld_precinit; the other
@@ -202,7 +204,7 @@ boundary conditions are also available in the directory examples/pdegen
-
+
Figure 3:
Setup of a hybrid three-level Schwarz preconditioner.
-
+
Figure 4:
Setup of a hybrid three-level Schwarz preconditioner.
-
+
Figure 5:
Setup of an additive three-level Schwarz preconditioner.
-
+
Figure 6:
Setup of a one-level Schwarz preconditioner.
-
-
-
Next: Next: User Interface
- Up: Up: Getting Started
- Previous: Previous: Getting Started
- Contents
diff --git a/docs/html/node16.html b/docs/html/node16.html
index d0787cd2..c2fd0da9 100644
--- a/docs/html/node16.html
+++ b/docs/html/node16.html
@@ -18,7 +18,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
Next: Next: Subroutine mld_precinit
- Up: Up: userhtml
- Previous: Previous: Examples
- Contents
Subsections
-
-
-
Next: Next: Subroutine mld_precinit
- Up: Up: userhtml
- Previous: Previous: Examples
- Contents
diff --git a/docs/html/node17.html b/docs/html/node17.html
index 49b62288..18bef970 100644
--- a/docs/html/node17.html
+++ b/docs/html/node17.html
@@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
Next: Next: Subroutine mld_precset
- Up: Up: User Interface
- Previous: Previous: User Interface
- Contents
integer, intent(out).
-Error code. If no error, 0 is returned. See Section 7 for details.
+Error code. If no error, 0 is returned. See Section 7 for details.
nlevinteger, optional, intent(in).
-
-
-
Next: Next: Subroutine mld_precset
- Up: Up: User Interface
- Previous: Previous: User Interface
- Contents
diff --git a/docs/html/node18.html b/docs/html/node18.html
index ce014386..d6d37901 100644
--- a/docs/html/node18.html
+++ b/docs/html/node18.html
@@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
Next: Next: Subroutine mld_precbld
- Up: Up: User Interface
- Previous: Previous: Subroutine mld_precinit
- Contents
integer, intent(out).
-Error code. If no error, 0 is returned. See Section 7
+ Error code. If no error, 0 is returned. See Section 7
for details.
pos
-
+
Table 2:
Parameters defining the type of multi-level preconditioner.
@@ -253,7 +253,7 @@ Parameters defining the type of multi-level preconditioner.
-
+
Table 3:
Parameters defining the one-level preconditioner used as smoother.
@@ -405,7 +405,7 @@ Parameters defining the one-level preconditioner used as smoother.
-
+
Table 4:
Parameters defining the aggregation algorithm.
@@ -490,7 +490,7 @@ Parameters defining the aggregation algorithm.
-
+
Table 5:
Parameters defining the aggregation algorithm.
@@ -602,7 +602,7 @@ Parameters defining the aggregation algorithm.
-
+
Table 6:
Parameters defining the coarse-space correction at the coarsest
@@ -717,26 +717,26 @@ level.
-
-
-
Next: Next: Subroutine mld_precbld
- Up: Up: User Interface
- Previous: Previous: Subroutine mld_precinit
- Contents
diff --git a/docs/html/node19.html b/docs/html/node19.html
index dfe0d771..1cc91a0f 100644
--- a/docs/html/node19.html
+++ b/docs/html/node19.html
@@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
Next: Subroutine mld_precaply
- Up: Next: Subroutine mld_hierarchy_bld
+ Up: User Interface
- Previous: Previous: Subroutine mld_precset
- Contents
mld_precinit and mld_precset.
+For multilevel preconditioner this routine is supported for backward
+compatibility, but we recommend to use the routines of
+Sec. 6.4 and 6.5 .
Arguments
@@ -80,7 +83,7 @@ the user through the routines mld_precinit and mld_precset16].
+ HREF="node27.html#PSBLASGUIDE">16].
desc_atype(psb_desc_type), intent(in).
The communication descriptor of a. See the PSBLAS User's Guide for
details [16 ].
+ HREF="node27.html#PSBLASGUIDE">16].
ptype(mld_x prec_type), intent(inout).integer, intent(out).
-Error code. If no error, 0 is returned. See Section 7 for details.
+Error code. If no error, 0 is returned. See Section 7 for details.
-
-
-
-
-
-
Next: Subroutine mld_precaply
-
Up: Next: Subroutine mld_hierarchy_bld
+
Up: User Interface
-
Previous: Previous: Subroutine mld_precset
-
Contents
diff --git a/docs/html/node2.html b/docs/html/node2.html
index 53312930..43a45436 100644
--- a/docs/html/node2.html
+++ b/docs/html/node2.html
@@ -26,21 +26,21 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
Next: Next: General Overview
-
Up: Up: userhtml
-
Previous: Previous: Abstract
@@ -53,64 +53,68 @@ Contents
+
+
Error Handling
+License
+Bibliography
diff --git a/docs/html/node20.html b/docs/html/node20.html
index 6784b579..219a54e2 100644
--- a/docs/html/node20.html
+++ b/docs/html/node20.html
@@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
-Subroutine mld_precaply
-Subroutine mld_hierarchy_bld
+
-
-
-
Next: Subroutine mld_precfree
- Up: Next: Subroutine mld_ml_prec_bld
+ Up: User Interface
- Previous: Previous: Subroutine mld_precbld
- Contents
-mld_precaply(p,x,y,desc_a,info)
-mld_precaply(p,x,y,desc_a,info,trans,work)
+mld_hierachy_bld(a,desc_a,p,info)
-This routine computes
-p, and trans.
-Note that, when MLD2P4 is used with a Krylov solver from PSBLAS,
-mld_precaply is called within the PSBLAS routine psb_krylov
-and hence it is completely transparent to the user.
+This routine builds the aggregation hierarchy according to the requirements made by
+the user through the routines mld_precinit and mld_precset.
Arguments
-ptype(mld_x prec_type), intent(inout).atype(psb_x spmat_type), intent(in).
-The preconditioner data structure, containing the local part of x must be chosen according
- to the real/complex, single/double precision version of MLD2P4 under use.
+The sparse matrix structure containing the local part of the
+ matrix to be preconditioned. Note that x must be chosen according
+ to the real/complex,
+single/double precision version of MLD2P4 under use.
+ See the PSBLAS User's Guide for details [16 ].
xtype (kind_parameter ), dimension(:), intent(in).desc_atype(psb_desc_type), intent(in).
-The local part of the vector type and
- kind_parameter must be chosen according
- to the real/complex, single/double precision version of MLD2P4 under use.
+The communication descriptor of a. See the PSBLAS User's Guide for
+ details [16 ].
ytype (kind_parameter ), dimension(:), intent(out).ptype(mld_x prec_type), intent(inout).
-The local part of the vector type and
- kind_parameter must be chosen according
+ The preconditioner data structure. Note that x must be chosen according
to the real/complex, single/double precision version of MLD2P4 under use.
desc_atype(psb_desc_type), intent(in).
-The communication descriptor associated to the matrix to be
- preconditioned.
-infointeger, intent(out).
-Error code. If no error, 0 is returned. See Section 7 for details.
-transcharacter(len=1), optional, intent(in).
-If trans = 'N','n' then
-trans = 'T','t' then
-trans = 'C','c' then
-
-worktype (kind_parameter ), dimension(:), optional, target.
-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/complex, single/double precision version of MLD2P4 under use.
+Error code. If no error, 0 is returned. See Section 7 for details.
-
-
-
-
-
Next: Subroutine mld_precfree
- Up: Next: Subroutine mld_ml_prec_bld
+ Up: User Interface
- Previous: Previous: Subroutine mld_precbld
- Contents
diff --git a/docs/html/node21.html b/docs/html/node21.html
index 32cef265..9eb212cd 100644
--- a/docs/html/node21.html
+++ b/docs/html/node21.html
@@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
-Subroutine mld_precfree
-Subroutine mld_ml_prec_bld
+
-
-
-
Next: Subroutine mld_precdescr
- Up: Next: Subroutine mld_precaply
+ Up: User Interface
- Previous: Subroutine mld_precaply
- Previous: Subroutine mld_hierarchy_bld
+ Contents
-mld_precfree(p,info)
+mld_ml_prec_bld(a,desc_a,p,info)
-This routine deallocates the preconditioner data structure.
+This routine builds the preconditioner according to the requirements made by
+the user through the routines mld_precinit and
+mld_precset, based on the aggregation hierahy produced by a
+previous call to mld_hierarchy_bld (see
+Sec. 6.4 ).
Arguments
+atype(psb_x spmat_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/complex,
+single/double precision version of MLD2P4 under use.
+ See the PSBLAS User's Guide for details [16 ].
+desc_atype(psb_desc_type), intent(in).
+The communication descriptor of a. See the PSBLAS User's Guide for
+ details [16 ].
+ptype(mld_x prec_type), intent(inout).type(mld_x prec_type), intent(inout).
-The preconditioner data structure. Note that x must be chosen according
+ The preconditioner data structure. Note that x must be chosen according
to the real/complex, single/double precision version of MLD2P4 under use.
infointeger, intent(out).integer, intent(out).
-Error code. If no error, 0 is returned. See Section 7 for details.
+Error code. If no error, 0 is returned. See Section 7 for details.
-
-
+
+
+
+
+
+
+
+ Next: Subroutine mld_precaply
+ Up: User Interface
+ Previous: Subroutine mld_hierarchy_bld
+ Contents
+
diff --git a/docs/html/node22.html b/docs/html/node22.html
index 5ffd64e1..13b12392 100644
--- a/docs/html/node22.html
+++ b/docs/html/node22.html
@@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
-Subroutine mld_precdescr
-Subroutine mld_precaply
+
-
-
-
Next: Error Handling
- Up: Next: Subroutine mld_precfree
+ Up: User Interface
- Previous: Subroutine mld_precfree
- Previous: Subroutine mld_ml_prec_bld
+ Contents
-mld_precdescr(p,info)
-mld_precdescr(p,info,iout)
+mld_precaply(p,x,y,desc_a,info)
+mld_precaply(p,x,y,desc_a,info,trans,work)
-This routine prints a description of the preconditioner to the standard output or
-to a file. It must be called after mld_precbld has been called.
+This routine computes
+p, and trans.
+Note that, when MLD2P4 is used with a Krylov solver from PSBLAS,
+mld_precaply is called within the PSBLAS routine psb_krylov
+and hence it is completely transparent to the user.
Arguments mld_precbld has been called.
ptype(mld_x prec_type), intent(in).type(mld_x prec_type), intent(inout).
-The preconditioner data structure. Note that x must be chosen according
+ The preconditioner data structure, containing the local part of x must be chosen according
to the real/complex, single/double precision version of MLD2P4 under use.
xtype (kind_parameter ), dimension(:), intent(in).
+The local part of the vector type and
+ kind_parameter must be chosen according
+ to the real/complex, single/double precision version of MLD2P4 under use.
+ytype (kind_parameter ), dimension(:), intent(out).
+The local part of the vector type and
+ kind_parameter must be chosen according
+ to the real/complex, single/double precision version of MLD2P4 under use.
+desc_atype(psb_desc_type), intent(in).
+The communication descriptor associated to the matrix to be
+ preconditioned.
+infointeger, intent(out).
-Error code. If no error, 0 is returned. See Section 7 for details.
+Error code. If no error, 0 is returned. See Section 7 for details.
+transcharacter(len=1), optional, intent(in).
+If trans = 'N','n' then
+trans = 'T','t' then
+trans = 'C','c' then
+
ioutinteger, intent(in), optional.worktype (kind_parameter ), dimension(:), optional, target.
-The id of the file where the preconditioner description
- will be printed; the default is the standard output.
+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/complex, single/double precision version of MLD2P4 under use.
-
+
+
+
+
+
+
+
+
+ Next: Subroutine mld_precfree
+ Up: User Interface
+ Previous: Subroutine mld_ml_prec_bld
+ Contents
+
diff --git a/docs/html/node23.html b/docs/html/node23.html
index 1faf0483..d12215ca 100644
--- a/docs/html/node23.html
+++ b/docs/html/node23.html
@@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
-Error Handling
-Subroutine mld_precfree
+
-
+
-
-
Next: License
- Up: userhtml
- Previous: Subroutine mld_precdescr
- Next: Subroutine mld_precdescr
+ Up: User Interface
+ Previous: Subroutine mld_precaply
+ Contents
+
+mld_precfree(p,info)
-The error handling in MLD2P4 is based on the PSBLAS (version 2) error
-handling. Error conditions 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
-routine. This routine will then decide, according to the user
-preferences, whether the error should be handled by terminating the
-program or by returning the error condition to the user code, which
-will then take action, and whether
-an error message should be printed. These options may be set by using
-the PSBLAS error handling routines; for further details see the PSBLAS
-User's Guide [16 ].
+This routine deallocates the preconditioner data structure.
+Arguments
+
+ptype(mld_x prec_type), intent(inout).
+The preconditioner data structure. Note that x must be chosen according
+ to the real/complex, single/double precision version of MLD2P4 under use.
+infointeger, intent(out).
+Error code. If no error, 0 is returned. See Section 7 for details.
+
+
+
+
+
License
-Subroutine mld_precdescr
+
-
+
-
-
Next: Bibliography
- Up: userhtml
- Previous: Error Handling
- Next: Error Handling
+ Up: User Interface
+ Previous: Subroutine mld_precfree
+ Contents
-The MLD2P4 is freely distributable under the following copyright
-terms:
+
+mld_precdescr(p,info)
+mld_precdescr(p,info,iout)
+
-
- MLD2P4 version 2.0
- MultiLevel Domain Decomposition Parallel Preconditioners Package
- based on PSBLAS (Parallel Sparse BLAS version 3.3)
-
- (C) Copyright 2008, 2010, 2012, 2015
+
+This routine prints a description of the preconditioner to the standard output or
+to a file. It must be called after mld_precbld has been called.
- Salvatore Filippone University of Rome Tor Vergata
- Alfredo Buttari CNRS-IRIT, Toulouse
- Pasqua D'Ambra ICAR-CNR, Naples
- Daniela di Serafino Second University of Naples
+
+Arguments
+
+
+ptype(mld_x prec_type), intent(in).
+The preconditioner data structure. Note that x must be chosen according
+ to the real/complex, single/double precision version of MLD2P4 under use.
+infointeger, intent(out).
+Error code. If no error, 0 is returned. See Section 7 for details.
+ioutinteger, intent(in), optional.
+The id of the file where the preconditioner description
+ will be printed; the default is the standard output.
+
+
Bibliography
-Error Handling
+
-
-
-
Next: About this document ...
- Up: Next: License
+ Up: userhtml
- Previous: License
- Previous: Subroutine mld_precdescr
+ Contents
-
-
-
1
-
-M. Brezina, P. Vanek,
-A Black-Box Iterative Solver Based on a Two-Level Schwarz Method ,
-Computing, 63, 1999, 233-263.
2
-
-A. Buttari, P. D'Ambra, D. di Serafino, S. Filippone,
-Extending PSBLAS to Build Parallel Schwarz Preconditioners ,
-in , J. Dongarra, K. Madsen, J. Wasniewski, editors,
-Proceedings of PARA 04 Workshop on State of the Art
-in Scientific Computing, Lecture Notes in Computer Science,
-Springer, 2005, 593-602.
3
-
-A. Buttari, P. D'Ambra, D. di Serafino, S. Filippone,
-2LEV-D2P4: a package of high-performance preconditioners
-for scientific and engineering applications ,
-Applicable Algebra in Engineering, Communications and Computing,
-18, 3, 2007, 223-239.
4
- P. D'Ambra, S. Filippone, D. di Serafino,
-On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners ,
-Applied Numerical Mathematics, Elsevier Science,
-57, 11-12, 2007, 1181-1196.
-
-
5
-
-X. C. Cai, M. Sarkis,
-A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems ,
-SIAM Journal on Scientific Computing, 21, 2, 1999, 792-797.
6
-
-X. C. Cai, O. B. Widlund,
-Domain Decomposition Algorithms for Indefinite Elliptic Problems ,
-SIAM Journal on Scientific and Statistical Computing, 13, 1, 1992, 243-258.
7
-
-T. Chan and T. Mathew,
-Domain Decomposition Algorithms ,
-in A. Iserles, editor, Acta Numerica 1994, 61-143.
-Cambridge University Press.
8
-
-P. D'Ambra, D. di Serafino, S. Filippone,
-MLD2P4: a Package of Parallel Multilevel
-Algebraic Domain Decomposition Preconditioners
-in Fortran 95 , ACM Trans. Math. Softw., 37(3), 2010.
9
-
-T.A. Davis,
-Algorithm 832: UMFPACK - an Unsymmetric-pattern Multifrontal
-Method with a Column Pre-ordering Strategy ,
-ACM Transactions on Mathematical Software, 30, 2004, 196-199.
-(See also http://www.cise.ufl.edu/ davis/ )
-
-
10
-
-P.R. Amestoy, C. Ashcraft, O. Boiteau, A. Buttari, J. L'Excellent, C. Weisbecker
-Improving multifrontal methods by means of block low-rank representations ,
-SIAM SISC, volume 37, number 3, pages A1452-A1474.
-(See also http://mumps.enseeiht.fr )
-
-
11
-
-J.W. Demmel, S.C. Eisenstat, J.R. Gilbert, X.S. Li and J.W.H. Liu,
-A supernodal approach to sparse partial pivoting,
-SIAM Journal on Matrix Analysis and Applications, 20, 3, 1999, 720-755.
12
-
-J. J. Dongarra, J. Du Croz, I. S. Duff, S. Hammarling,
-A set of Level 3 Basic Linear Algebra Subprograms ,
-ACM Transactions on Mathematical Software, 16, 1990, 1-17.
13
-
-J. J. Dongarra, J. Du Croz, S. Hammarling, R. J. Hanson,
-An extended set of FORTRAN Basic Linear Algebra Subprograms ,
-ACM Transactions on Mathematical Software, 14, 1988, 1-17.
14
-
-J. J. Dongarra and R. C. Whaley,
-A User's Guide to the BLACS v. 1.1 ,
-Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of
-Tennessee, March 1995 (updated May 1997).
15
-
-E. Efstathiou, J. G. Gander,
-Why Restricted Additive Schwarz Converges Faster than Additive Schwarz ,
-BIT Numerical Mathematics, 43, 2003, 945-959.
16
-
-S. Filippone, A. Buttari,
-PSBLAS-3.0 User's Guide. A Reference Guide for the Parallel Sparse BLAS Library , 2012,
-available from http://www.ce.uniroma2.it/psblas/ .
-
-
-
17
-
-Salvatore Filippone and Alfredo Buttari.
-Object-Oriented Techniques for Sparse Matrix Computations in Fortran
- 2003.
-ACM Trans. on Math Software, 38(4), 2012.
+
-
18
-
-S. Filippone, M. Colajanni,
-PSBLAS: A Library for Parallel Linear Algebra
-Computation on Sparse Matrices ,
-ACM Transactions on Mathematical Software, 26, 4, 2000, 527-550.
19
-
-W. Gropp, S. Huss-Lederman, A. Lumsdaine, E. Lusk, B. Nitzberg, W. Saphir, M. Snir,
-MPI: The Complete Reference. Volume 2 - The MPI-2 Extensions ,
-MIT Press, 1998.
20
-
-C. L. Lawson, R. J. Hanson, D. Kincaid, F. T. Krogh,
-Basic Linear Algebra Subprograms for FORTRAN usage ,
-ACM Transactions on Mathematical Software, 5, 1979, 308-323.
21
-
-X. S. Li, J. W. Demmel, SuperLU_DIST: A Scalable Distributed-memory
-Sparse Direct Solver for Unsymmetric Linear Systems ,
-ACM Transactions on Mathematical Software, 29, 2, 2003, 110-140.
22
-
-Y. Saad,
-Iterative methods for sparse linear systems , 2nd edition,
-SIAM, 2003
+The error handling in MLD2P4 is based on the PSBLAS (version 2) error
+handling. Error conditions 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
+routine. This routine will then decide, according to the user
+preferences, whether the error should be handled by terminating the
+program or by returning the error condition to the user code, which
+will then take action, and whether
+an error message should be printed. These options may be set by using
+the PSBLAS error handling routines; for further details see the PSBLAS
+User's Guide [16 ].
-
23
-
-B. Smith, P. Bjorstad, W. Gropp,
-Domain Decomposition: Parallel Multilevel Methods for Elliptic
-Partial Differential Equations ,
-Cambridge University Press, 1996.
24
-
-M. Snir, S. Otto, S. Huss-Lederman, D. Walker, J. Dongarra,
-MPI: The Complete Reference. Volume 1 - The MPI Core , second edition,
-MIT Press, 1998.
25
-
-K. Stüben,
-Algebraic Multigrid (AMG): an Introduction with Applications ,
-in A. Schüller, U. Trottenberg, C. Oosterlee, editors, Multigrid,
-Academic Press, 2000.
26
-
-R. S. Tuminaro, C. Tong,
-Parallel Smoothed Aggregation Multigrid: Aggregation Strategies on Massively Parallel Machines ,
-in J. Donnelley, editor, Proceedings of SuperComputing 2000, Dallas, 2000.
27
-
-P. Vanek, J. Mandel and M. Brezina,
-Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems ,
-Computing, 56, 1996, 179-196.
-
-
About this document ...
-License
+
+
+
-
-
Up: Next: Bibliography
+ Up: userhtml
- Previous: Bibliography
- Previous: Error Handling
+ Contents
-This document was generated using the
-LaTeX 2HTML
-Copyright © 1993, 1994, 1995, 1996,
-Nikos Drakos ,
-Computer Based Learning Unit, University of Leeds.
+
Ross Moore ,
-Mathematics Department, Macquarie University, Sydney.
-
-The command line arguments were: latex2html -local_icons -noaddress -dir ../../html userhtml.tex
+License
+
+
-The translation was initiated by Salvatore Filippone on 2016-05-23
+The MLD2P4 is freely distributable under the following copyright
+terms:
+
+
+ MLD2P4 version 2.0
+ MultiLevel Domain Decomposition Parallel Preconditioners Package
+ based on PSBLAS (Parallel Sparse BLAS version 3.3)
+
+ (C) Copyright 2008, 2010, 2012, 2015
+
+ Salvatore Filippone University of Rome Tor Vergata
+ Alfredo Buttari CNRS-IRIT, Toulouse
+ Pasqua D'Ambra ICAR-CNR, Naples
+ Daniela di Serafino Second University of Naples
+
+
+ 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.
+
+
About this document ...
-Bibliography
+
+
+
-
-
-
-
-
+ Up: Next: About this document ...
+ Up: userhtml
- Previous: Bibliography
- Previous: License
+ Contents
-
-
-
-This document was generated using the
-LaTeX 2HTML
-Copyright © 1993, 1994, 1995, 1996,
-Nikos Drakos ,
-Computer Based Learning Unit, University of Leeds.
-Ross Moore ,
-Mathematics Department, Macquarie University, Sydney.
+
1
+
+M. Brezina, P. Vanek,
+A Black-Box Iterative Solver Based on a Two-Level Schwarz Method ,
+Computing, 63, 1999, 233-263.
2
+
+A. Buttari, P. D'Ambra, D. di Serafino, S. Filippone,
+Extending PSBLAS to Build Parallel Schwarz Preconditioners ,
+in , J. Dongarra, K. Madsen, J. Wasniewski, editors,
+Proceedings of PARA 04 Workshop on State of the Art
+in Scientific Computing, Lecture Notes in Computer Science,
+Springer, 2005, 593-602.
3
+
+A. Buttari, P. D'Ambra, D. di Serafino, S. Filippone,
+2LEV-D2P4: a package of high-performance preconditioners
+for scientific and engineering applications ,
+Applicable Algebra in Engineering, Communications and Computing,
+18, 3, 2007, 223-239.
4
+ P. D'Ambra, S. Filippone, D. di Serafino,
+On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners ,
+Applied Numerical Mathematics, Elsevier Science,
+57, 11-12, 2007, 1181-1196.
+
+
5
+
+X. C. Cai, M. Sarkis,
+A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems ,
+SIAM Journal on Scientific Computing, 21, 2, 1999, 792-797.
6
+
+X. C. Cai, O. B. Widlund,
+Domain Decomposition Algorithms for Indefinite Elliptic Problems ,
+SIAM Journal on Scientific and Statistical Computing, 13, 1, 1992, 243-258.
7
+
+T. Chan and T. Mathew,
+Domain Decomposition Algorithms ,
+in A. Iserles, editor, Acta Numerica 1994, 61-143.
+Cambridge University Press.
8
+
+P. D'Ambra, D. di Serafino, S. Filippone,
+MLD2P4: a Package of Parallel Multilevel
+Algebraic Domain Decomposition Preconditioners
+in Fortran 95 , ACM Trans. Math. Softw., 37(3), 2010.
9
+
+T.A. Davis,
+Algorithm 832: UMFPACK - an Unsymmetric-pattern Multifrontal
+Method with a Column Pre-ordering Strategy ,
+ACM Transactions on Mathematical Software, 30, 2004, 196-199.
+(See also http://www.cise.ufl.edu/ davis/ )
+
+
10
+
+P.R. Amestoy, C. Ashcraft, O. Boiteau, A. Buttari, J. L'Excellent, C. Weisbecker
+Improving multifrontal methods by means of block low-rank representations ,
+SIAM SISC, volume 37, number 3, pages A1452-A1474.
+(See also http://mumps.enseeiht.fr )
+
+
11
+
+J.W. Demmel, S.C. Eisenstat, J.R. Gilbert, X.S. Li and J.W.H. Liu,
+A supernodal approach to sparse partial pivoting,
+SIAM Journal on Matrix Analysis and Applications, 20, 3, 1999, 720-755.
12
+
+J. J. Dongarra, J. Du Croz, I. S. Duff, S. Hammarling,
+A set of Level 3 Basic Linear Algebra Subprograms ,
+ACM Transactions on Mathematical Software, 16, 1990, 1-17.
13
+
+J. J. Dongarra, J. Du Croz, S. Hammarling, R. J. Hanson,
+An extended set of FORTRAN Basic Linear Algebra Subprograms ,
+ACM Transactions on Mathematical Software, 14, 1988, 1-17.
14
+
+J. J. Dongarra and R. C. Whaley,
+A User's Guide to the BLACS v. 1.1 ,
+Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of
+Tennessee, March 1995 (updated May 1997).
15
+
+E. Efstathiou, J. G. Gander,
+Why Restricted Additive Schwarz Converges Faster than Additive Schwarz ,
+BIT Numerical Mathematics, 43, 2003, 945-959.
16
+
+S. Filippone, A. Buttari,
+PSBLAS-3.0 User's Guide. A Reference Guide for the Parallel Sparse BLAS Library , 2012,
+available from http://www.ce.uniroma2.it/psblas/ .
+
-The command line arguments were: latex2html -noaddress -dir ../../html userhtml.tex
+
17
+
+Salvatore Filippone and Alfredo Buttari.
+Object-Oriented Techniques for Sparse Matrix Computations in Fortran
+ 2003.
+ACM Trans. on Math Software, 38(4), 2012.
+
+
+
18
+
+S. Filippone, M. Colajanni,
+PSBLAS: A Library for Parallel Linear Algebra
+Computation on Sparse Matrices ,
+ACM Transactions on Mathematical Software, 26, 4, 2000, 527-550.
19
+
+W. Gropp, S. Huss-Lederman, A. Lumsdaine, E. Lusk, B. Nitzberg, W. Saphir, M. Snir,
+MPI: The Complete Reference. Volume 2 - The MPI-2 Extensions ,
+MIT Press, 1998.
20
+
+C. L. Lawson, R. J. Hanson, D. Kincaid, F. T. Krogh,
+Basic Linear Algebra Subprograms for FORTRAN usage ,
+ACM Transactions on Mathematical Software, 5, 1979, 308-323.
21
+
+X. S. Li, J. W. Demmel, SuperLU_DIST: A Scalable Distributed-memory
+Sparse Direct Solver for Unsymmetric Linear Systems ,
+ACM Transactions on Mathematical Software, 29, 2, 2003, 110-140.
22
+
+Y. Saad,
+Iterative methods for sparse linear systems , 2nd edition,
+SIAM, 2003
+
+
+
23
+
+B. Smith, P. Bjorstad, W. Gropp,
+Domain Decomposition: Parallel Multilevel Methods for Elliptic
+Partial Differential Equations ,
+Cambridge University Press, 1996.
24
+
+M. Snir, S. Otto, S. Huss-Lederman, D. Walker, J. Dongarra,
+MPI: The Complete Reference. Volume 1 - The MPI Core , second edition,
+MIT Press, 1998.
25
+
+K. Stüben,
+Algebraic Multigrid (AMG): an Introduction with Applications ,
+in A. Schüller, U. Trottenberg, C. Oosterlee, editors, Multigrid,
+Academic Press, 2000.
26
+
+R. S. Tuminaro, C. Tong,
+Parallel Smoothed Aggregation Multigrid: Aggregation Strategies on Massively Parallel Machines ,
+in J. Donnelley, editor, Proceedings of SuperComputing 2000, Dallas, 2000.
27
+
+P. Vanek, J. Mandel and M. Brezina,
+Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems ,
+Computing, 56, 1996, 179-196.
+
+
-The translation was initiated by Salvatore Filippone on 2008-09-12
Error Handling
-About this document ...
+
+This document was generated using the
+LaTeX 2HTML
-The error handling in MLD2P4 is based on the PSBLAS (version 2) error
-handling. Error conditions 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
-routine. This routine will then decide, according to the user
-preferences, whether the error should be handled by terminating the
-program or by returning the error condition to the user code, which
-will then take action, and whether
-an error message should be printed. These options may be set by using
-the PSBLAS error handling routines; for further details see the PSBLAS
-User's Guide [14 ].
-
+Copyright © 1993, 1994, 1995, 1996,
+Nikos Drakos ,
+Computer Based Learning Unit, University of Leeds.
+Ross Moore ,
+Mathematics Department, Macquarie University, Sydney.
-
+The command line arguments were: latex2html -local_icons -noaddress -dir ../../html userhtml.tex
+
+The translation was initiated by Salvatore Filippone on 2016-06-09
-Salvatore Filippone
-2008-07-23
-
+
diff --git a/docs/html/node3.html b/docs/html/node3.html
index 43205adc..e447ca2f 100644
--- a/docs/html/node3.html
+++ b/docs/html/node3.html
@@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
Next: Next: Code Distribution
- Up: Up: userhtml
- Previous: Previous: Contents
- Contents
The MULTI- LEVEL DOMAIN DECOMPOSITION PARALLEL PRECONDITIONERS PACKAGE BASED ON
PSBLAS (MLD2P4) provides multi-level Schwarz preconditioners [23 ],
+ HREF="node27.html#dd2_96">23],
to be used in the iterative solutions of sparse linear systems:
@@ -97,8 +97,8 @@ generate a sequence of coarse-level corrections to a basic AS preconditioner, wi
explicitly using any information on the geometry of the original problem (e.g. the
discretization of a PDE). The
smoothed aggregation technique is applied
as algebraic coarsening strategy [
1 ,
27 ].
+ HREF="node27.html#BREZINA_VANEK">1,
27 ].
@@ -116,8 +116,8 @@ interface.
MLD2P4 has been designed to implement scalable and easy-to-use
multilevel preconditioners in the context of the
PSBLAS
(Parallel Sparse BLAS) computational framework [
18 ,
17 ].
+ HREF="node27.html#psblas_00">18,
17 ].
PSBLAS is a library originally developed to address the parallel implementation of
iterative solvers for sparse linear system, by providing basic linear algebra
operators and data management facilities for distributed sparse matrices; it
@@ -130,10 +130,10 @@ portability, modularity ed extensibility in the development of the preconditione
package. On the other hand, the implementation of MLD2P4 has led to some
revisions and extentions of the PSBLAS kernels, leading to the
PSBLAS 2.0 version [
16 ]. The inter-process comunication required
+ HREF="node27.html#PSBLASGUIDE">16]. The inter-process comunication required
by MLD2P4 is encapsulated into the PSBLAS routines, except few cases where
MPI [
24 ] is explicitly called. Therefore, MLD2P4 can be run on any parallel
+ HREF="node27.html#MPI1">24] is explicitly called. Therefore, MLD2P4 can be run on any parallel
machine where PSBLAS and MPI implementations are available.
@@ -167,32 +167,32 @@ with the Krylov solvers implemented in PSBLAS are reported in Section 6 . The error handling mechanism used by the package is briefly described
-in Section 7 . The copyright terms concerning the distribution and modification
-of MLD2P4 are reported in Appendix A .
+in Section 7 . The copyright terms concerning the distribution and modification
+of MLD2P4 are reported in Appendix A .
-
-
-
-
-
Next: Next: Code Distribution
-
Up: Up: userhtml
-
Previous: Previous: Contents
-
Contents
diff --git a/docs/html/node4.html b/docs/html/node4.html
index 9b1532a5..0f98ab1b 100644
--- a/docs/html/node4.html
+++ b/docs/html/node4.html
@@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
-
Next: Next: Configuring and Building MLD2P4
-
Up: Up: userhtml
-
Previous: Previous: General Overview
-
Contents
@@ -66,7 +66,7 @@ where contact points for further information can be also found.
The software is available under a modified BSD license, as specified
-in Appendix A ; please note that some of the optional
+in Appendix A ; please note that some of the optional
third party libraries may be licensed under a different and more
stringent license, most notably the GPL, and this should be taken into
account when treating derived works.
diff --git a/docs/html/node5.html b/docs/html/node5.html
index e413b2cd..6d02aa6a 100644
--- a/docs/html/node5.html
+++ b/docs/html/node5.html
@@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
-
Next: Next: Prerequisites
-
Up: Up: userhtml
-
Previous: Previous: Code Distribution
-
Contents
@@ -79,15 +79,15 @@ real and complex data, in both single and double precision.
Subsections
diff --git a/docs/html/node6.html b/docs/html/node6.html
index 52df8a7d..6dcb66ae 100644
--- a/docs/html/node6.html
+++ b/docs/html/node6.html
@@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
-
Next: Next: Optional third party libraries
-
Up: Up: Configuring and Building MLD2P4
-
Previous: Previous: Configuring and Building MLD2P4
-
Contents
@@ -60,9 +60,9 @@ The following base libraries are needed:
BLAS [12 ,13 ,20 ] Many vendors provide optimized versions
+ HREF="node27.html#blas3">12,13 ,20 ] Many vendors provide optimized versions
of the Basic Linear Algebra Subprograms; if no vendor version is
available for a given platform, the ATLAS software
(http://math-atlas.sourceforge.net/)
@@ -77,15 +77,15 @@ The following base libraries are needed:
MPI [19 ,24 ] A version of MPI is available on most
+ HREF="node27.html#MPI2">19,24 ] A version of MPI is available on most
high-performance computing systems;
PSBLAS [16 ,18 ] Parallel Sparse BLAS is
+ HREF="node27.html#PSBLASGUIDE">16,18 ] Parallel Sparse BLAS is
available from
http://www.ce.uniroma2.it/psblas; version
3.4.0 (or later) is required. Indeed, all the prerequisites
diff --git a/docs/html/node7.html b/docs/html/node7.html
index 34626827..5aca3247 100644
--- a/docs/html/node7.html
+++ b/docs/html/node7.html
@@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
Next: Next: Configuration options
- Up: Up: Configuring and Building MLD2P4
- Previous: Previous: Prerequisites
- Contents
UMFPACK [9 ]
+ HREF="node27.html#UMFPACK">9]
A sparse direct factorization package available from
http://www.cise.ufl.edu/research/sparse/umfpack/;
provides serial factorization and triangular system solution for double
@@ -73,7 +73,7 @@ for multilevel preconditioners may change to reflect their presence.
SuperLU [11 ]
+ HREF="node27.html#SUPERLU">11]
A sparse direct factorization package available from
http://crd.lbl.gov/~xiaoye/SuperLU/; provides serial
factorization and triangular system solution for single and double precision,
@@ -82,7 +82,7 @@ for multilevel preconditioners may change to reflect their presence.
SuperLU_Dist [21 ]
+ HREF="node27.html#SUPERLUDIST">21]
A sparse direct factorization package available
from the same site as SuperLU; provides parallel factorization and
triangular system solution for double precision real and complex data.
@@ -90,7 +90,7 @@ for multilevel preconditioners may change to reflect their presence.
MUMPS [10 ]
+ HREF="node27.html#MUMPS">10]
MUMPS (“MUltifrontal Massively Parallel Solver”) is a sparse, direct factorization
package available from
http://mumps.enseeiht.fr/.
@@ -102,26 +102,26 @@ for multilevel preconditioners may change to reflect their presence.
-
-
-
Next: Next: Configuration options
- Up: Up: Configuring and Building MLD2P4
- Previous: Previous: Prerequisites
- Contents
diff --git a/docs/html/node8.html b/docs/html/node8.html
index 92dd747b..5fe84308 100644
--- a/docs/html/node8.html
+++ b/docs/html/node8.html
@@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
Next: Next: Bug reporting
- Up: Up: Configuring and Building MLD2P4
- Previous: Previous: Optional third party libraries
- Contents
-
-
-
Next: Next: Bug reporting
- Up: Up: Configuring and Building MLD2P4
- Previous: Previous: Optional third party libraries
- Contents
diff --git a/docs/html/node9.html b/docs/html/node9.html
index bef642f7..be4b91d1 100644
--- a/docs/html/node9.html
+++ b/docs/html/node9.html
@@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
-
-
-
Next: Next: Example and test programs
- Up: Up: Configuring and Building MLD2P4
- Previous: Previous: Configuration options
- Contents
Subroutine mld_precbld
Subroutine mld_precaply
+ HREF="node20.html">Subroutine mld_hierarchy_bld
Subroutine mld_precfree
+ HREF="node21.html">Subroutine mld_ml_prec_bld
Subroutine mld_precdescr
-
-Error Handling
+ HREF="node23.html">Subroutine mld_precfree
License
+ HREF="node24.html">Subroutine mld_precdescr
+
+Bibliography
+ HREF="node25.html">Error Handling
About this document ...
+ HREF="node26.html">License
+Bibliography
+About this document ...
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%!PS-AdobeFont-1.0: CMBX12 003.002
@@ -6382,7 +6612,7 @@ FontDirectory/CMBX12 known{/CMBX12 findfont dup/UniqueID known{dup
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
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/PaintType 0 def
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@@ -6419,6 +6649,7 @@ dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
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dup 102 /f put
dup 12 /fi put
dup 53 /five put
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diff --git a/docs/src/gettingstarted.tex b/docs/src/gettingstarted.tex
index db20abd1..13aad98d 100644
--- a/docs/src/gettingstarted.tex
+++ b/docs/src/gettingstarted.tex
@@ -21,6 +21,16 @@ The following steps are required:
\verb|mld_precinit| to identify the preconditioner types are also given.
Note that these strings are valid also if uppercase letters are substituted by
corresponding lowercase ones.
+\item \emph{Modify the aggregation parameters.} This is performed by
+ the routine \verb|mld_precset|.
+ This routine must be called only if the user wants to modify the default values
+ of the parameters associated to the aggregation hierarchy construction.
+ Examples of use of \verb|mld_precset| are given in
+ Section~\ref{sec:examples}; a complete list of all the
+ preconditioner parameters and their allowed and default values is provided in
+ Section~\ref{sec:userinterface}, Tables~\ref{tab:p_type}-\ref{tab:p_coarse}.
+\item \emph{Build the aggregation hierarchy for a given matrix.} This is performed by
+ the routine \verb|mld_hierarchy_bld|.
\item \emph{Modify the selected preconditioner type, by properly setting
preconditioner parameters.} This is performed by the routine \verb|mld_precset|.
This routine must be called only if the user wants to modify the default values
@@ -30,7 +40,7 @@ The following steps are required:
preconditioner parameters and their allowed and default values is provided in
Section~\ref{sec:userinterface}, Tables~\ref{tab:p_type}-\ref{tab:p_coarse}.
\item \emph{Build the preconditioner for a given matrix.} This is performed by
- the routine \verb|mld_precbld|.
+ the routine \verb|mld_ml_prec_bld|.
\item \emph{Apply the preconditioner at each iteration of a Krylov solver.}
This is performed by the routine \verb|mld_precaply|. When using the PSBLAS Krylov solvers,
this step is completely transparent to the user, since \verb|mld_precaply| is called
@@ -172,7 +182,9 @@ the corresponding Fortran 95 codes are available in \verb|examples/fileread/|.
call mld_precinit(P,'ML',info)
!
! build the preconditioner
- call mld_precbld(A,desc_A,P,info)
+ call mld_hierarchy_bld(A,desc_A,P,info)
+ call mld_ml_prec_bld(A,desc_A,P,info)
+
!
! set the solver parameters and the initial guess
... ...
@@ -257,11 +269,14 @@ boundary conditions are also available in the directory \verb|examples/pdegen|.
! block Jacobi (with ILU(0) on the blocks) as post-smoother,
! a coarsest matrix replicated on the processors, and the
! LU factorization from UMFPACK as coarse-level solver
- call mld_precinit(P,'ML',info,nlev=3)
+ call mld_precinit(P,'ML',info)
+ call mld_hierarchy_bld(A,desc_A,P,info)
+
call_mld_precset(P,'SMOOTHER_TYPE','BJAC',info)
call_mld_precset(P,'SMOOTHER_POS,'POST'w,info)
call mld_precset(P,'COARSE_MAT','REPL',info)
call mld_precset(P,'COARSE_SOLVE','UMF',info)
+ call mld_ml_prec_bld(A,desc_A,P,info)
... ...
\end{verbatim}
}
@@ -283,10 +298,12 @@ boundary conditions are also available in the directory \verb|examples/pdegen|.
! multifrontal solver in MUMPS as coarse-level solver
call mld_precinit(P,'ML',info,nlev=3)
+ call mld_hierarchy_bld(A,desc_A,P,info)
+
call mld_precset(P,mld_smoother_type_,'BJAC',info)
call mld_precset(P,mld_coarse_mat_,'REPL',info)
call mld_precset(P,mld_coarse_solve_,'MUMPS',info)
-
+ call mld_ml_prec_bld(A,desc_A,P,info)
... ...
\end{verbatim}
}
@@ -308,9 +325,11 @@ boundary conditions are also available in the directory \verb|examples/pdegen|.
! post-smoother, and 5 block-Jacobi sweeps (with UMFPACK LU
! on the blocks) as distributed coarsest-level solver
call mld_precinit(P,'ML',info,nlev=3)
+ call mld_ml_prec_bld(A,desc_A,P,info)
call mld_precset(P,'ML_TYPE','ADD',info)
call_mld_precset(P,'SMOOTHER_POS','TWOSIDE',info)
call mld_precset(P,'COARSE_SWEEPS',5,info)
+ call mld_ml_prec_bld(A,desc_A,P,info)
... ...
\end{verbatim}
}
@@ -329,6 +348,7 @@ boundary conditions are also available in the directory \verb|examples/pdegen|.
! set RAS with overlap 2 and ILU(0) on the local blocks
call mld_precinit(P,'AS',info)
call mld_precset(P,'SUB_OVR',2,info)
+ call mld_precbld(A,desc_A,P,info)
... ...
\end{verbatim}
}
diff --git a/docs/src/userinterface.tex b/docs/src/userinterface.tex
index 198ea340..455cc76f 100644
--- a/docs/src/userinterface.tex
+++ b/docs/src/userinterface.tex
@@ -483,7 +483,7 @@ level.\label{tab:p_coarse}}
\clearpage
\subsection{Subroutine mld\_precbld\label{sec:precbld}}
-
+
\begin{center}
\verb|mld_precbld(a,desc_a,p,info)|\\
\end{center}
@@ -492,6 +492,71 @@ level.\label{tab:p_coarse}}
This routine builds the preconditioner according to the requirements made by
the user through the routines \verb|mld_precinit| and \verb|mld_precset|.
+For multilevel preconditioner this routine is supported for backward
+compatibility, but we recommend to use the routines of
+Sec.~\ref{sec:hier_bld} and~\ref{sec:ml_prec_bld}.
+{\vskip2\baselineskip\noindent\large\bfseries Arguments}
+
+\begin{tabular}{p{1.2cm}p{12cm}}
+\verb|a| & \verb|type(psb_|\emph{x}\verb|spmat_type), intent(in)|. \\
+ & The sparse matrix structure containing the local part of the
+ matrix to be preconditioned. Note that \emph{x} must be chosen according
+ to the real/complex,
+single/double precision version of MLD2P4 under use.
+ See the PSBLAS User's Guide for details \cite{PSBLASGUIDE}.\\
+\verb|desc_a| & \verb|type(psb_desc_type), intent(in)|. \\
+ & The communication descriptor of \verb|a|. See the PSBLAS User's Guide for
+ details \cite{PSBLASGUIDE}.\\
+\verb|p| & \verb|type(mld_|\emph{x}\verb|prec_type), intent(inout)|.\\
+ & The preconditioner data structure. Note that \emph{x} must be chosen according
+ to the real/complex, single/double precision version of MLD2P4 under use.\\
+\verb|info| & \verb|integer, intent(out)|.\\
+ & Error code. If no error, 0 is returned. See Section~\ref{sec:errors} for details.\\
+\end{tabular}
+
+\subsection{Subroutine mld\_hierarchy\_bld\label{sec:hier_bld}}
+
+\begin{center}
+\verb|mld_hierachy_bld(a,desc_a,p,info)|\\
+\end{center}
+
+\noindent
+This routine builds the aggregation hierarchy according to the requirements made by
+the user through the routines \verb|mld_precinit| and \verb|mld_precset|.
+
+{\vskip2\baselineskip\noindent\large\bfseries Arguments}
+
+\begin{tabular}{p{1.2cm}p{12cm}}
+\verb|a| & \verb|type(psb_|\emph{x}\verb|spmat_type), intent(in)|. \\
+ & The sparse matrix structure containing the local part of the
+ matrix to be preconditioned. Note that \emph{x} must be chosen according
+ to the real/complex,
+single/double precision version of MLD2P4 under use.
+ See the PSBLAS User's Guide for details \cite{PSBLASGUIDE}.\\
+\verb|desc_a| & \verb|type(psb_desc_type), intent(in)|. \\
+ & The communication descriptor of \verb|a|. See the PSBLAS User's Guide for
+ details \cite{PSBLASGUIDE}.\\
+\verb|p| & \verb|type(mld_|\emph{x}\verb|prec_type), intent(inout)|.\\
+ & The preconditioner data structure. Note that \emph{x} must be chosen according
+ to the real/complex, single/double precision version of MLD2P4 under use.\\
+\verb|info| & \verb|integer, intent(out)|.\\
+ & Error code. If no error, 0 is returned. See Section~\ref{sec:errors} for details.\\
+\end{tabular}
+
+
+\subsection{Subroutine mld\_ml\_prec\_bld\label{sec:ml_prec_bld}}
+
+\begin{center}
+\verb|mld_ml_prec_bld(a,desc_a,p,info)|\\
+\end{center}
+
+\noindent
+This routine builds the preconditioner according to the requirements made by
+the user through the routines \verb|mld_precinit| and
+\verb|mld_precset|, based on the aggregation hierahy produced by a
+previous call to \verb|mld_hierarchy_bld| (see
+Sec.~\ref{sec:hier_bld}).
+
{\vskip2\baselineskip\noindent\large\bfseries Arguments}
\begin{tabular}{p{1.2cm}p{12cm}}
-
-
-
) [22, Chapter 10].
+ HREF="node27.html#Saad_book">22, Chapter 10].
increases [7,23]. To reduce the dependency
+ HREF="node27.html#dd1_94">7,23]. To reduce the dependency
of the number of iterations on the degree of parallelism we may
introduce a global coupling among the overlapping partitions by defining
a coarse-space approximation 
, MLD2P4 uses the smoothed aggregation
algorithm described in [1,27].
+ HREF="node27.html#BREZINA_VANEK">1,27].
The basic idea of this algorithm is to build a coarse set of vertices
[1].
+ HREF="node27.html#BREZINA_VANEK">1].
, where 
is a previously built
-preconditioner, stored into 
-denotes the preconditioner itself or its transpose, according to
-the value of 
. Note that type and
- kind_parameter must be chosen according
- to the real/complex, single/double precision version of MLD2P4 under use.
. Note that type and
- kind_parameter must be chosen according
+
;
- if 
- (transpose of 
; if 
- (conjugate transpose of 
-
-
