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psblas3:
base/Makefile base/comm/psb_cgather.f90 base/comm/psb_chalo.f90 base/comm/psb_covrl.f90 base/comm/psb_dgather.f90 base/comm/psb_dhalo.f90 base/comm/psb_dovrl.f90 base/comm/psb_sgather.f90 base/comm/psb_shalo.f90 base/comm/psb_sovrl.f90 base/comm/psb_zgather.f90 base/comm/psb_zhalo.f90 base/comm/psb_zovrl.f90 base/internals/psi_cswapdata.F90 base/internals/psi_cswaptran.F90 base/internals/psi_dswapdata.F90 base/internals/psi_dswaptran.F90 base/internals/psi_idx_ins_cnv.f90 base/internals/psi_ovrl_restr.f90 base/internals/psi_ovrl_save.f90 base/internals/psi_ovrl_upd.f90 base/internals/psi_sswapdata.F90 base/internals/psi_sswaptran.F90 base/internals/psi_zswapdata.F90 base/internals/psi_zswaptran.F90 base/modules/Makefile base/modules/psb_base_mat_mod.f90 base/modules/psb_base_mod.f90 base/modules/psb_c_base_mat_mod.f90 base/modules/psb_c_base_vect_mod.f90 base/modules/psb_c_comm_mod.f90 base/modules/psb_c_csc_mat_mod.f90 base/modules/psb_c_csr_mat_mod.f90 base/modules/psb_c_linmap_mod.f90 base/modules/psb_c_mat_mod.f90 base/modules/psb_c_psblas_mod.f90 base/modules/psb_c_tools_mod.f90 base/modules/psb_c_vect_mod.f90 base/modules/psb_check_mod.f90 base/modules/psb_comm_mod.f90 base/modules/psb_const_mod.F90 base/modules/psb_d_base_mat_mod.f90 base/modules/psb_d_base_vect_mod.f90 base/modules/psb_d_comm_mod.f90 base/modules/psb_d_csc_mat_mod.f90 base/modules/psb_d_csr_mat_mod.f90 base/modules/psb_d_linmap_mod.f90 base/modules/psb_d_mat_mod.f90 base/modules/psb_d_psblas_mod.f90 base/modules/psb_d_tools_mod.f90 base/modules/psb_d_vect_mod.f90 base/modules/psb_error_impl.F90 base/modules/psb_error_mod.F90 base/modules/psb_i_comm_mod.f90 base/modules/psb_ip_reord_mod.f90 base/modules/psb_linmap_mod.f90 base/modules/psb_linmap_type_mod.f90 base/modules/psb_s_base_mat_mod.f90 base/modules/psb_s_base_vect_mod.f90 base/modules/psb_s_comm_mod.f90 base/modules/psb_s_csc_mat_mod.f90 base/modules/psb_s_csr_mat_mod.f90 base/modules/psb_s_linmap_mod.f90 base/modules/psb_s_mat_mod.f90 base/modules/psb_s_psblas_mod.f90 base/modules/psb_s_tools_mod.f90 base/modules/psb_s_vect_mod.f90 base/modules/psb_serial_mod.f90 base/modules/psb_vect_mod.f90 base/modules/psb_z_base_mat_mod.f90 base/modules/psb_z_base_vect_mod.f90 base/modules/psb_z_comm_mod.f90 base/modules/psb_z_csc_mat_mod.f90 base/modules/psb_z_csr_mat_mod.f90 base/modules/psb_z_linmap_mod.f90 base/modules/psb_z_mat_mod.f90 base/modules/psb_z_psblas_mod.f90 base/modules/psb_z_tools_mod.f90 base/modules/psb_z_vect_mod.f90 base/modules/psi_c_mod.f90 base/modules/psi_d_mod.f90 base/modules/psi_i_mod.f90 base/modules/psi_mod.f90 base/modules/psi_penv_mod.F90 base/modules/psi_s_mod.f90 base/modules/psi_z_mod.f90 base/psblas/psb_camax.f90 base/psblas/psb_casum.f90 base/psblas/psb_caxpby.f90 base/psblas/psb_cdot.f90 base/psblas/psb_cnrm2.f90 base/psblas/psb_cspmm.f90 base/psblas/psb_cspsm.f90 base/psblas/psb_damax.f90 base/psblas/psb_dasum.f90 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base/serial/impl/psb_s_coo_impl.f90 base/serial/impl/psb_s_csc_impl.f90 base/serial/impl/psb_s_csr_impl.f90 base/serial/impl/psb_s_mat_impl.F90 base/serial/impl/psb_z_base_mat_impl.f90 base/serial/impl/psb_z_coo_impl.f90 base/serial/impl/psb_z_csc_impl.f90 base/serial/impl/psb_z_csr_impl.f90 base/serial/impl/psb_z_mat_impl.F90 base/serial/psb_cgelp.f90 base/serial/psb_dgelp.f90 base/serial/psb_sgelp.f90 base/serial/psb_spdot_srtd.f90 base/serial/psb_zgelp.f90 base/tools/Makefile base/tools/psb_c_map.f90 base/tools/psb_callc.f90 base/tools/psb_casb.f90 base/tools/psb_cdins.f90 base/tools/psb_cfree.f90 base/tools/psb_cins.f90 base/tools/psb_d_map.f90 base/tools/psb_dallc.f90 base/tools/psb_dasb.f90 base/tools/psb_dcdbldext.F90 base/tools/psb_dfree.f90 base/tools/psb_dins.f90 base/tools/psb_dspalloc.f90 base/tools/psb_dspasb.f90 base/tools/psb_dspfree.f90 base/tools/psb_dsphalo.F90 base/tools/psb_dspins.f90 base/tools/psb_dsprn.f90 base/tools/psb_linmap.f90 base/tools/psb_map.f90 base/tools/psb_s_map.f90 base/tools/psb_sallc.f90 base/tools/psb_sasb.f90 base/tools/psb_sfree.f90 base/tools/psb_sins.f90 base/tools/psb_z_map.f90 base/tools/psb_zallc.f90 base/tools/psb_zasb.f90 base/tools/psb_zfree.f90 base/tools/psb_zins.f90 config/pac.m4 configure.ac configure docs/html/footnode.html docs/html/img1.png docs/html/img10.png docs/html/img100.png docs/html/img101.png docs/html/img102.png docs/html/img103.png docs/html/img104.png docs/html/img105.png docs/html/img106.png docs/html/img107.png docs/html/img108.png docs/html/img109.png docs/html/img11.png docs/html/img110.png docs/html/img111.png docs/html/img112.png docs/html/img113.png docs/html/img114.png docs/html/img115.png docs/html/img116.png docs/html/img117.png docs/html/img118.png docs/html/img119.png docs/html/img12.png docs/html/img120.png docs/html/img121.png docs/html/img122.png docs/html/img123.png docs/html/img124.png docs/html/img125.png docs/html/img126.png docs/html/img127.png docs/html/img128.png 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krylov/psb_crgmres.f90 krylov/psb_d_inner_krylov_mod.f90 krylov/psb_dbicg.f90 krylov/psb_dcg.F90 krylov/psb_dcgs.f90 krylov/psb_dcgstab.F90 krylov/psb_dcgstabl.f90 krylov/psb_dkrylov.f90 krylov/psb_drgmres.f90 krylov/psb_krylov_mod.f90 krylov/psb_s_inner_krylov_mod.f90 krylov/psb_sbicg.f90 krylov/psb_scg.F90 krylov/psb_scgs.f90 krylov/psb_scgstab.F90 krylov/psb_scgstabl.f90 krylov/psb_skrylov.f90 krylov/psb_srgmres.f90 krylov/psb_z_inner_krylov_mod.f90 krylov/psb_zbicg.f90 krylov/psb_zcg.F90 krylov/psb_zcgs.f90 krylov/psb_zcgstab.f90 krylov/psb_zcgstabl.f90 krylov/psb_zkrylov.f90 krylov/psb_zrgmres.f90 opt/Makefile opt/psb_c_rsb_mat_mod.F90 opt/psb_d_rsb_mat_mod.F90 opt/psb_s_rsb_mat_mod.F90 opt/psb_z_rsb_mat_mod.F90 opt/rsb_c_mod.f90 opt/rsb_d_mod.f90 opt/rsb_s_mod.f90 opt/rsb_z_mod.f90 prec/Makefile prec/psb_c_base_prec_mod.f90 prec/psb_c_bjacprec.f90 prec/psb_c_diagprec.f90 prec/psb_c_nullprec.f90 prec/psb_c_prec_type.f90 prec/psb_cprecbld.f90 prec/psb_d_base_prec_mod.f90 prec/psb_d_bjacprec.f90 prec/psb_d_diagprec.f90 prec/psb_d_nullprec.f90 prec/psb_d_prec_type.f90 prec/psb_dprecbld.f90 prec/psb_s_base_prec_mod.f90 prec/psb_s_bjacprec.f90 prec/psb_s_diagprec.f90 prec/psb_s_nullprec.f90 prec/psb_s_prec_type.f90 prec/psb_sprecbld.f90 prec/psb_z_base_prec_mod.f90 prec/psb_z_bjacprec.f90 prec/psb_z_diagprec.f90 prec/psb_z_nullprec.f90 prec/psb_z_prec_type.f90 prec/psb_zprecbld.f90 test/fileread/cf_sample.f90 test/fileread/df_sample.f90 test/fileread/runs/dfs.inp test/fileread/runs/sfs.inp test/fileread/sf_sample.f90 test/fileread/zf_sample.f90 test/kernel/d_file_spmv.f90 test/kernel/s_file_spmv.f90 test/newfmt/ppde.F90 test/newfmt/spde.f90 test/pargen/ppde.f90 test/pargen/runs/ppde.inp test/pargen/spde.f90 test/serial/Makefile test/serial/d_matgen.F90 test/serial/psb_d_czz_mat_mod.f90 util/Makefile util/psb_c_hbio_impl.f90 util/psb_c_mat_dist_impl.f90 util/psb_c_mmio_impl.f90 util/psb_c_renum_impl.F90 util/psb_d_hbio_impl.f90 util/psb_d_mat_dist_impl.f90 util/psb_d_mmio_impl.f90 util/psb_d_renum_impl.F90 util/psb_hbio_impl.f90 util/psb_mat_dist_mod.f90 util/psb_mmio_impl.f90 util/psb_renum_impl.F90 util/psb_renum_mod.f90 util/psb_s_hbio_impl.f90 util/psb_s_mat_dist_impl.f90 util/psb_s_mmio_impl.f90 util/psb_s_renum_impl.F90 util/psb_z_hbio_impl.f90 util/psb_z_mat_dist_impl.f90 util/psb_z_mmio_impl.f90 util/psb_z_renum_impl.F90 Merged vect-state branch. Now need to: 1. Update MLD 2. Fix documentation 3. Take out older Krylov interfaces.
This commit is contained in:
Salvatore Filippone
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@@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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<TITLE>Preconditioner data structure</TITLE>
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<TITLE>Dense Vector Data Structure</TITLE>
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<H2><A NAME="SECTION00043000000000000000"></A>
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<A NAME="sec:prec"></A>
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<A NAME="sec:spmat"></A>
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<BR>
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Preconditioner data structure
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Dense Vector Data Structure
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</H2>
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Our base library offers support for simple well known preconditioners
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like Diagonal Scaling or Block Jacobi with incomplete
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factorization ILU(0).
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The vdata<TT>psb_vect_type</TT> data structure
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contains all information about local portion of the sparse matrix and
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its storage mode. Most of these fields are set by the tools
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routines when inserting a new sparse matrix; the user needs only
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choose, if he/she so whishes, a specific matrix storage mode.
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<BR><DL>
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<DT><STRONG><B>aspk</B></STRONG></DT>
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<DD>Contains values of the local distributed sparse
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matrix.
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<BR>
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Specified as: an allocatable array of rank one of type corresponding
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to matrix entries type.
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</DD>
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<DT><STRONG><B>ia1</B></STRONG></DT>
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<DD>Holds integer information on distributed sparse
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matrix. Actual information will depend on data format used.
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<BR>
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Specified as: an allocatable integer array of rank one.
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</DD>
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<DT><STRONG><B>ia2</B></STRONG></DT>
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<DD>Holds integer information on distributed sparse
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matrix. Actual information will depend on data format used.
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<BR>
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Specified as: an allocatable integer array of rank one.
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</DD>
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<DT><STRONG><B>infoa</B></STRONG></DT>
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<DD>On entry can hold auxiliary information on distributed sparse
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matrix. Actual information will depend on data format used.
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<BR>
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Specified as: an integer array of length <code>psb_ifasize_</code>.
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</DD>
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<DT><STRONG><B>fida</B></STRONG></DT>
|
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<DD>Defines the format of the distributed sparse matrix.
|
||||
<BR>
|
||||
Specified as: a string of length 5
|
||||
</DD>
|
||||
<DT><STRONG><B>descra</B></STRONG></DT>
|
||||
<DD>Describe the characteristic of the distributed sparse matrix.
|
||||
<BR>
|
||||
Specified as: array of character of length 9.
|
||||
</DD>
|
||||
<DT><STRONG><B>pl</B></STRONG></DT>
|
||||
<DD>Specifies the local row permutation of distributed sparse
|
||||
matrix. If pl(1) is equal to 0, then there isn't row permutation.
|
||||
<BR>
|
||||
Specified as: an allocatable integer array of dimension equal to number of local row (matrix_data[psb_n_row_])
|
||||
</DD>
|
||||
<DT><STRONG><B>pr</B></STRONG></DT>
|
||||
<DD>Specifies the local column permutation of distributed sparse
|
||||
matrix. If PR(1) is equal to 0, then there isn't columnm permutation.
|
||||
<BR>
|
||||
Specified as: an allocatable integer array of dimension equal to number of
|
||||
local row (matrix_data[psb_n_col_])
|
||||
</DD>
|
||||
<DT><STRONG><B>m</B></STRONG></DT>
|
||||
<DD>Number of rows; if row indices are stored explicitly,
|
||||
as in Coordinate Storage, should be greater than or equal to the
|
||||
maximum row index actually present in the sparse matrix.
|
||||
Specified as: integer variable.
|
||||
</DD>
|
||||
<DT><STRONG><B>k</B></STRONG></DT>
|
||||
<DD>Number of columns; if column indices are stored explicitly,
|
||||
as in Coordinate Storage or Compressed Sparse Rows, should be greater
|
||||
than or equal to the maximum column index actually present in the sparse matrix.
|
||||
Specified as: integer variable.
|
||||
</DD>
|
||||
</DL>
|
||||
The Fortran 95 interface for distributed sparse matrices containing
|
||||
double precision real entries is defined as shown in
|
||||
figure <A HREF="#fig:spmattype">5</A>. The definitions for single precision and
|
||||
complex data are identical except for the <code>real</code> declaration and
|
||||
for the kind type parameter.
|
||||
|
||||
<P>
|
||||
A preconditioner is held in the precdata<TT> psb_prec_type</TT> data structure reported in
|
||||
figure <A HREF="#fig:prectype">5</A>. The <code>psb_prec_type</code>
|
||||
data type may contain a simple preconditioning matrix with the
|
||||
associated communication descriptor.The values contained in
|
||||
the <code>iprcparm</code> and <code>rprcparm</code> define tha type of
|
||||
preconditioner along with all the parameters related to it; thus,
|
||||
<code>iprcparm</code> and <code>rprcparm</code> define how the other records have
|
||||
to be interpreted. This data structure is the basis of more complex
|
||||
preconditioning strategies, which are the subject of further
|
||||
research.
|
||||
|
||||
<DIV ALIGN="CENTER"><A NAME="fig:prectype"></A><A NAME="626"></A>
|
||||
<DIV ALIGN="CENTER"><A NAME="fig:spmattype"></A><A NAME="672"></A>
|
||||
<TABLE>
|
||||
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 5:</STRONG>
|
||||
The PSBLAS defined data type that contains a preconditioner.</CAPTION>
|
||||
<TR><TD><FONT SIZE="-1"> <BR>
|
||||
|
||||
The PSBLAS defined data type that
|
||||
contains a sparse matrix.</CAPTION>
|
||||
<TR><TD>
|
||||
<BR>
|
||||
|
||||
</FONT>
|
||||
<DIV ALIGN="CENTER"><FONT SIZE="-1"><!-- MATH
|
||||
<DIV ALIGN="CENTER">
|
||||
<!-- MATH
|
||||
$\fbox{\TheSbox}$
|
||||
-->
|
||||
<IMG
|
||||
WIDTH="536" HEIGHT="218" ALIGN="MIDDLE" BORDER="0"
|
||||
WIDTH="535" HEIGHT="218" ALIGN="MIDDLE" BORDER="0"
|
||||
SRC="img20.png"
|
||||
ALT="\fbox{\TheSbox}"></FONT></DIV><FONT SIZE="-1">
|
||||
</FONT></TD></TR>
|
||||
ALT="\fbox{\TheSbox}">
|
||||
</DIV></TD></TR>
|
||||
</TABLE>
|
||||
</DIV>
|
||||
|
||||
<P>
|
||||
The following two cases are among the most commonly used:
|
||||
<DL>
|
||||
<DT><STRONG>fida=``CSR''</STRONG></DT>
|
||||
<DD>Compressed storage by rows. In this case the
|
||||
following should hold:
|
||||
|
||||
<OL>
|
||||
<LI><code>ia2(i)</code> contains the index of the first element of row
|
||||
<code>i</code>; the last element of the sparse matrix is thus stored at
|
||||
index <IMG
|
||||
WIDTH="107" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
|
||||
SRC="img22.png"
|
||||
ALT="$ia2(m+1)-1$">. It should contain <code>m+1</code> entries in
|
||||
nondecreasing order (strictly increasing, if there are no empty rows).
|
||||
</LI>
|
||||
<LI><code>ia1(j)</code> contains the column index and <code>aspk(j)</code>
|
||||
contains the corresponding coefficient value, for all <!-- MATH
|
||||
$ia2(1) \le j
|
||||
\le ia2(m+1)-1$
|
||||
-->
|
||||
<IMG
|
||||
WIDTH="200" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
|
||||
SRC="img23.png"
|
||||
ALT="$ia2(1) \le j
|
||||
\le ia2(m+1)-1$">.
|
||||
</LI>
|
||||
</OL>
|
||||
</DD>
|
||||
<DT><STRONG>fida=``COO''</STRONG></DT>
|
||||
<DD>Coordinate storage. In this case the following
|
||||
should hold:
|
||||
|
||||
<OL>
|
||||
<LI><code>infoa(1)</code> contains the number of nonzero elements in the
|
||||
matrix;
|
||||
</LI>
|
||||
<LI>For all <!-- MATH
|
||||
$1 \le j \le infoa(1)$
|
||||
-->
|
||||
<IMG
|
||||
WIDTH="122" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
|
||||
SRC="img24.png"
|
||||
ALT="$1 \le j \le infoa(1)$">, the coefficient, row index and
|
||||
column index are stored into <code>apsk(j)</code>, <code>ia1(j)</code> and
|
||||
<code>ia2(j)</code> respectively.
|
||||
</LI>
|
||||
</OL>
|
||||
</DD>
|
||||
</DL>
|
||||
A sparse matrix has an associated state, which can take the following
|
||||
values:
|
||||
<DL>
|
||||
<DT><STRONG>Build:</STRONG></DT>
|
||||
<DD>State entered after the first allocation, and before the
|
||||
first assembly; in this state it is possible to add nonzero entries.
|
||||
</DD>
|
||||
<DT><STRONG>Assembled:</STRONG></DT>
|
||||
<DD>State entered after the assembly; computations using
|
||||
the sparse matrix, such as matrix-vector products, are only possible
|
||||
in this state;
|
||||
</DD>
|
||||
<DT><STRONG>Update:</STRONG></DT>
|
||||
<DD>State entered after a reinitalization; this is used to
|
||||
handle applications in which the same sparsity pattern is used
|
||||
multiple times with different coefficients. In this state it is only
|
||||
possible to enter coefficients for already existing nonzero entries.
|
||||
</DD>
|
||||
</DL>
|
||||
<BR><HR>
|
||||
<!--Table of Child-Links-->
|
||||
<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
|
||||
|
||||
<UL>
|
||||
<LI><A NAME="tex2html336"
|
||||
HREF="node14.html">Named Constants</A>
|
||||
</UL>
|
||||
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|
||||
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|
||||
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|
||||
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Block a user