From bff527b4a77a94c3a4e79213078902d83c2c4994 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Mon, 23 May 2016 14:29:51 +0000 Subject: [PATCH] mld2p4-2: docs/html/index.html docs/html/node1.html docs/html/node10.html docs/html/node11.html docs/html/node12.html docs/html/node13.html docs/html/node14.html docs/html/node15.html docs/html/node16.html docs/html/node17.html docs/html/node18.html docs/html/node19.html docs/html/node2.html docs/html/node20.html docs/html/node21.html docs/html/node22.html docs/html/node23.html docs/html/node24.html docs/html/node25.html docs/html/node26.html docs/html/node3.html docs/html/node4.html docs/html/node5.html docs/html/node6.html docs/html/node7.html docs/html/node8.html docs/html/node9.html docs/html/userhtml.html docs/mld2p4-2.1-guide.pdf docs/src/gettingstarted.tex docs/src/userinterface.tex Doc fixes. --- docs/html/index.html | 60 +- docs/html/node1.html | 32 +- docs/html/node10.html | 16 +- docs/html/node11.html | 36 +- docs/html/node12.html | 32 +- docs/html/node13.html | 32 +- docs/html/node14.html | 43 +- docs/html/node15.html | 34 +- docs/html/node16.html | 44 +- docs/html/node17.html | 32 +- docs/html/node18.html | 231 ++-- docs/html/node19.html | 32 +- docs/html/node2.html | 58 +- docs/html/node20.html | 32 +- docs/html/node21.html | 16 +- docs/html/node22.html | 16 +- docs/html/node23.html | 16 +- docs/html/node24.html | 16 +- docs/html/node25.html | 16 +- docs/html/node26.html | 12 +- docs/html/node3.html | 32 +- docs/html/node4.html | 16 +- docs/html/node5.html | 26 +- docs/html/node6.html | 16 +- docs/html/node7.html | 32 +- docs/html/node8.html | 32 +- docs/html/node9.html | 16 +- docs/html/userhtml.html | 60 +- docs/mld2p4-2.1-guide.pdf | 2242 +++++++++++++++++++---------------- docs/src/gettingstarted.tex | 7 +- docs/src/userinterface.tex | 19 +- 31 files changed, 1762 insertions(+), 1542 deletions(-) diff --git a/docs/html/index.html b/docs/html/index.html index 91af5ad7..602a99b1 100644 --- a/docs/html/index.html +++ b/docs/html/index.html @@ -23,18 +23,18 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next up previous - contents
- Next: Next: Abstract -   Contents

@@ -77,69 +77,69 @@ Mar. 31, 2016 diff --git a/docs/html/node1.html b/docs/html/node1.html index 2bbddf2a..70920695 100644 --- a/docs/html/node1.html +++ b/docs/html/node1.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
- Next: Next: Contents - Up: Up: userhtml - Previous: Previous: userhtml -   Contents

@@ -88,26 +88,26 @@ the user interface of MLD2P4.
- next - up - previous - contents
- Next: Next: Contents - Up: Up: userhtml - Previous: Previous: userhtml -   Contents diff --git a/docs/html/node10.html b/docs/html/node10.html index e8ca4162..16b18f5f 100644 --- a/docs/html/node10.html +++ b/docs/html/node10.html @@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
- Next: Next: Multi-level Domain Decomposition Background - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Bug reporting -   Contents

diff --git a/docs/html/node11.html b/docs/html/node11.html index 2809e7ed..2ee41def 100644 --- a/docs/html/node11.html +++ b/docs/html/node11.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
- Next: Next: Multi-level Schwarz Preconditioners - Up: Up: userhtml - Previous: Previous: Example and test programs -   Contents

@@ -145,34 +145,34 @@ is referred to [Subsections
- next - up - previous - contents
- Next: Next: Multi-level Schwarz Preconditioners - Up: Up: userhtml - Previous: Previous: Example and test programs -   Contents diff --git a/docs/html/node12.html b/docs/html/node12.html index 5a87fe5e..e2eb8ecc 100644 --- a/docs/html/node12.html +++ b/docs/html/node12.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
- Next: Next: Smoothed Aggregation - Up: Up: Multi-level Domain Decomposition Background - Previous: Previous: Multi-level Domain Decomposition Background -   Contents

@@ -738,26 +738,26 @@ $w = y_1$;

- next - up - previous - contents
- Next: Next: Smoothed Aggregation - Up: Up: Multi-level Domain Decomposition Background - Previous: Previous: Multi-level Domain Decomposition Background -   Contents diff --git a/docs/html/node13.html b/docs/html/node13.html index 08f9f8e4..75e04eb2 100644 --- a/docs/html/node13.html +++ b/docs/html/node13.html @@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
- Next: Next: Getting Started - Up: Up: Multi-level Domain Decomposition Background - Previous: Previous: Multi-level Schwarz Preconditioners -   Contents

@@ -288,26 +288,26 @@ using some estimate of the spectral radius of
- next - up - previous - contents
- Next: Next: Getting Started - Up: Up: Multi-level Domain Decomposition Background - Previous: Previous: Multi-level Schwarz Preconditioners -   Contents diff --git a/docs/html/node14.html b/docs/html/node14.html index cc900beb..4f4e974a 100644 --- a/docs/html/node14.html +++ b/docs/html/node14.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
- Next: Next: Examples - Up: Up: userhtml - Previous: Previous: Smoothed Aggregation -   Contents

@@ -87,7 +87,7 @@ The following steps are required: of the preconditioner. Examples of use of mld_precset are given in Section 5.1; a complete list of all the preconditioner parameters and their allowed and default values is provided in - Section 6, Tables 2-5. + Section 6, Tables 2-6.
  • Build the preconditioner for a given matrix. This is performed by the routine mld_precbld. @@ -166,8 +166,9 @@ Preconditioner types, corresponding strings and default choices. Multi-level hybrid preconditioner (additive on the same level and multiplicative through the levels), with pre- and post-smoothing. - Number of levels: 2. - Smoother: RAS with overlap 1 and ILU(0) + Target aggregation size: cubic + root of the size at the finest + level. Smoother: RAS with overlap 1 and ILU(0) on the local blocks. Aggregation: decoupled smoothed aggregation with threshold @@ -197,32 +198,32 @@ Preconditioner types, corresponding strings and default choices. Subsections
    - next - up - previous - contents
    - Next: Next: Examples - Up: Up: userhtml - Previous: Previous: Smoothed Aggregation -   Contents diff --git a/docs/html/node15.html b/docs/html/node15.html index acb36212..28463dd5 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 - up - previous - contents
    - Next: Next: User Interface - Up: Up: Getting Started - Previous: Previous: Getting Started -   Contents

    @@ -183,7 +183,7 @@ which uses RAS, with overlap 1 and ILU(0) on the blocks, as pre- and post-smoother, and applies five block-Jacobi sweeps, with the UMFPACK LU factorization on the blocks, as distributed coarsest-level solver. Again, mld_precset is used only to set -non-default values of the parameters (see Tables 2-5). +non-default values of the parameters (see Tables 2-6). In both cases, the construction and the application of the preconditioner are carried out as for the default multi-level preconditioner. The code fragments shown in in @@ -327,26 +327,26 @@ Setup of a one-level Schwarz preconditioner.

    - next - up - previous - contents
    - 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 ad31029e..d0787cd2 100644 --- a/docs/html/node16.html +++ b/docs/html/node16.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Subroutine mld_precinit - Up: Up: userhtml - Previous: Previous: Examples -   Contents

    @@ -113,42 +113,42 @@ A description of each routine is given in the remainder of this section. Subsections
    - next - up - previous - contents
    - 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 a321e6b9..49b62288 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 - up - previous - contents
    - Next: Next: Subroutine mld_precset - Up: Up: User Interface - Previous: Previous: User Interface -   Contents

    @@ -114,26 +114,26 @@ according to the preconditioner type chosen by the user.

    - next - up - previous - contents
    - 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 de47d925..ce014386 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 - up - previous - contents
    - Next: Next: Subroutine mld_precbld - Up: Up: User Interface - Previous: Previous: Subroutine mld_precinit -   Contents

    @@ -112,7 +112,7 @@ modified, and thus has no direct knowledge about the new type. The parameter to be set. It can be specified by a predefined constant, or through its name; the string is case-insensitive. See also - Tables 2-5. + Tables 2-6. val integer or character(len=*) or @@ -122,7 +122,7 @@ modified, and thus has no direct knowledge about the new type.   The value of the parameter to be set. The list of allowed values and the corresponding data types is given in - Tables 2-5. + Tables 2-6. When the value is of type character(len=*), it is also treated as case insensitive. @@ -174,7 +174,7 @@ can be logically divided into four groups, i.e. parameters defining
    • A list of the parameters that can be set, along with their allowed and -default values, is given in Tables 2-5. +default values, is given in Tables 2-6. For a detailed description of the meaning of the parameters, please refer to Section 4. @@ -209,7 +209,7 @@ according to their needs.


    -
    +
    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. @@ -261,49 +261,66 @@ Parameters defining the one-level preconditioner used as smoother.
    - - - - - - - - - + + + + + + + + - - - - - - - - + + + + + + + + - - - - - - + + + + + + + for neglecting them. - - - + + - - + + + SuperLU (plus triangular solve), LU from MUMPS. - - - + + - - + + + ALT="$p$"> of the incomplete LU factorizations. - - - + + - - + + - - - - - - + + + + + + + the whole matrix. - - - + + - - - -
    whatDATA TYPEvalDEFAULTCOMMENTS
    mld_sub_ovr_
    SUB_OVR    		integerany int. num.  +what DATA TYPE val DEFAULT +COMMENTS
    mld_sub_ovr_
    SUB_OVR     		integer + any int. num. $\ge 0$1Number of overlap layers.
    mld_sub_restr_
    SUB_RESTR    		character(len=*)'HALO' 'NONE''HALO'Type of restriction operator: + ALT="$\ge 0$"> + 1 + Number of overlap layers.
    +mld_sub_restr_
    SUB_RESTR     		character(len=*) + 'HALO' 'NONE' + 'HALO' + Type of restriction operator: 'HALO' for taking into account the overlap, 'NONE' - for neglecting it.
    mld_sub_prol_
    SUB_PROL    		character(len=*)'SUM' 'NONE''NONE'Type of prolongation operator: + for neglecting it.
    +mld_sub_prol_
    SUB_PROL     		character(len=*) + 'SUM' 'NONE' + 'NONE' + Type of prolongation operator: 'SUM' for adding the contributions from the overlap, 'NONE' - for neglecting them.
    mld_sub_solve_
    SUB_SOLVE    		character(len=*)'DIAG' +
    +mld_sub_solve_
    SUB_SOLVE     		character(len=*) + 'DIAG' 'GS' 'BWGS' 'ILU' 'MILU' 'ILUT' 'UMF' 'SLU' - 'MUMPS''ILU'Predefined local solver: pointwise Jacobi + 'MUMPS' + 'ILU' + Predefined local solver: pointwise Jacobi (diagonal scaling), (forward) Gauss-Seidel, Backward Gauss-Seidel, ILU($p,t$), LU from UMFPACK, LU from - SuperLU (plus triangular solve), LU from MUMPS.
    mld_sub_fillin_
    SUB_FILLIN    		integerAny int. num.  +mld_sub_fillin_
    SUB_FILLIN     		integer + Any int. num. $\ge 0$0Fill-in level $\ge 0$ + 0 + Fill-in level $p$ of the incomplete LU factorizations.
    mld_sub_iluthrs_
    SUB_ILUTHRS    		real(kind_parameter)Any real num.  +mld_sub_iluthrs_
    SUB_ILUTHRS     		real(kind_parameter) + Any real num. $\ge 0$0Drop tolerance $\ge 0$ + 0 + Drop tolerance $t$ in the ILU($p,t$) factorization.
    mld_sub_ren_
    SUB_REN    		character(len=*)'RENUM_NONE' 'RENUM_GLOBAL' 'RENUM_NONE'Row and column reordering of the local submatrices: no reordering, + ALT="$p,t$">) factorization.
    +mld_sub_ren_
    SUB_REN     		character(len=*) + 'RENUM_NONE' 'RENUM_GLOBAL' + 'RENUM_NONE' + Row and column reordering of the local submatrices: no reordering, reordering according to the global numbering of the rows and columns of - the whole matrix.
    mld_solver_sweeps_
    SOLVER_SWEEPS    		integerAny int. num.  +mld_solver_sweeps_
    SOLVER_SWEEPS     		integer + Any int. num. $\ge 1$1Number of sweeps for iterative local solver - (currently only Gauss-Seidel).
    -
    + ALT="$\ge 1$"> +     		1 + Number of sweeps for iterative local solver + (currently only Gauss-Seidel).

    @@ -373,7 +405,7 @@ Parameters defining the one-level preconditioner used as smoother.


    -
    +
    Table 4: Parameters defining the aggregation algorithm. @@ -449,6 +481,29 @@ Parameters defining the aggregation algorithm. matrix graph. Since aggregation is heuristics, results will be different. +
    +
    + + +

    +
    + +

    +

    +
    + + +
    Table 5: +Parameters defining the aggregation algorithm. +
    +
    + + + + + + + @@ -547,9 +602,9 @@ Parameters defining the aggregation algorithm.


    -
    +
    whatDATA TYPEvalDEFAULTCOMMENTS
    mld_aggr_kind_
    AGGR_KIND    		 character(len=*) 'SMOOTHED' 'NONSMOOTHED'
    -
    Table 5: +Table 6: Parameters defining the coarse-space correction at the coarsest level.
    @@ -662,26 +717,26 @@ level.

    - next - up - previous - contents
    - 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 e87714b9..dfe0d771 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 - up - previous - contents
    - Next: Next: Subroutine mld_precaply - Up: Up: User Interface - Previous: Previous: Subroutine mld_precset -   Contents

    @@ -109,26 +109,26 @@ single/double precision version of MLD2P4 under use.
    - next - up - previous - contents
    - Next: Next: Subroutine mld_precaply - Up: Up: User Interface - Previous: Previous: Subroutine mld_precset -   Contents diff --git a/docs/html/node2.html b/docs/html/node2.html index f0a641b5..53312930 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 - up - previous
    - Next: Next: General Overview - Up: Up: userhtml - Previous: Previous: Abstract

    @@ -53,63 +53,63 @@ Contents diff --git a/docs/html/node20.html b/docs/html/node20.html index 35fd951d..6784b579 100644 --- a/docs/html/node20.html +++ b/docs/html/node20.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Subroutine mld_precfree - Up: Up: User Interface - Previous: Previous: Subroutine mld_precbld -   Contents

    @@ -184,26 +184,26 @@ and hence it is completely transparent to the user.

    - next - up - previous - contents
    - Next: Next: Subroutine mld_precfree - Up: Up: User Interface - Previous: Previous: Subroutine mld_precbld -   Contents diff --git a/docs/html/node21.html b/docs/html/node21.html index 4365a27a..32cef265 100644 --- a/docs/html/node21.html +++ b/docs/html/node21.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Subroutine mld_precdescr - Up: Up: User Interface - Previous: Previous: Subroutine mld_precaply -   Contents

    diff --git a/docs/html/node22.html b/docs/html/node22.html index ab990b35..5ffd64e1 100644 --- a/docs/html/node22.html +++ b/docs/html/node22.html @@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Error Handling - Up: Up: User Interface - Previous: Previous: Subroutine mld_precfree -   Contents

    diff --git a/docs/html/node23.html b/docs/html/node23.html index 8a0e1872..1faf0483 100644 --- a/docs/html/node23.html +++ b/docs/html/node23.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: License - Up: Up: userhtml - Previous: Previous: Subroutine mld_precdescr -   Contents

    diff --git a/docs/html/node24.html b/docs/html/node24.html index 47737ef7..48a40b04 100644 --- a/docs/html/node24.html +++ b/docs/html/node24.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Bibliography - Up: Up: userhtml - Previous: Previous: Error Handling -   Contents

    diff --git a/docs/html/node25.html b/docs/html/node25.html index ebee82a2..2ccab695 100644 --- a/docs/html/node25.html +++ b/docs/html/node25.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: About this document ... - Up: Up: userhtml - Previous: Previous: License -   Contents

    diff --git a/docs/html/node26.html b/docs/html/node26.html index 899451a0..466ddfe2 100644 --- a/docs/html/node26.html +++ b/docs/html/node26.html @@ -25,21 +25,21 @@ original version by: Nikos Drakos, CBLU, University of Leeds next - up - previous - contents
    - Up: Up: userhtml - Previous: Previous: Bibliography -   Contents

    diff --git a/docs/html/node3.html b/docs/html/node3.html index fb486fe0..43205adc 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 - up - previous - contents
    - Next: Next: Code Distribution - Up: Up: userhtml - Previous: Previous: Contents -   Contents

    @@ -173,26 +173,26 @@ of MLD2P4 are reported in Appendix A.

    - next - up - previous - contents
    - Next: Next: Code Distribution - Up: Up: userhtml - Previous: Previous: Contents -   Contents diff --git a/docs/html/node4.html b/docs/html/node4.html index e56cf07b..9b1532a5 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 - up - previous - contents
    - Next: Next: Configuring and Building MLD2P4 - Up: Up: userhtml - Previous: Previous: General Overview -   Contents

    diff --git a/docs/html/node5.html b/docs/html/node5.html index 0d2b6d4b..e413b2cd 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 - up - previous - contents
    - 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 251c5797..52df8a7d 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 - up - previous - contents
    - Next: Next: Optional third party libraries - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Configuring and Building MLD2P4 -   Contents

    diff --git a/docs/html/node7.html b/docs/html/node7.html index d5920ad6..34626827 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 - up - previous - contents
    - Next: Next: Configuration options - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Prerequisites -   Contents

    @@ -102,26 +102,26 @@ for multilevel preconditioners may change to reflect their presence.
    - next - up - previous - contents
    - 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 c9085215..92dd747b 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 - up - previous - contents
    - Next: Next: Bug reporting - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Optional third party libraries -   Contents

    @@ -235,26 +235,26 @@ followed (optionally) by make install
    - next - up - previous - 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 f348fff2..bef642f7 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 - up - previous - contents
    - Next: Next: Example and test programs - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Configuration options -   Contents

    diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html index 91af5ad7..602a99b1 100644 --- a/docs/html/userhtml.html +++ b/docs/html/userhtml.html @@ -23,18 +23,18 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next up previous - contents
    - Next: Next: Abstract -   Contents

    @@ -77,69 +77,69 @@ Mar. 31, 2016 diff --git a/docs/mld2p4-2.1-guide.pdf b/docs/mld2p4-2.1-guide.pdf index da01801f..39e2b88a 100644 --- a/docs/mld2p4-2.1-guide.pdf +++ b/docs/mld2p4-2.1-guide.pdf @@ -215,7 +215,7 @@ BT 0 g 0 G [-862(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1281(29)]TJ + [-1281(30)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -102.988 -13.549 Td [(6.4)-1022(Subroutine)-333(mld)]TJ @@ -229,7 +229,7 @@ BT 0 g 0 G [-390(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1281(30)]TJ + [-1281(31)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -102.988 -13.549 Td [(6.5)-1022(Subroutine)-333(mld)]TJ @@ -243,7 +243,7 @@ BT 0 g 0 G [-665(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1281(31)]TJ + [-1281(32)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -102.988 -13.55 Td [(6.6)-1022(Subroutine)-333(mld)]TJ @@ -257,20 +257,20 @@ BT 0 g 0 G [-798(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1281(32)]TJ + [-1281(33)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG /F43 10.9091 Tf -119.352 -24.458 Td [(7)-925(Error)-383(Handling)]TJ 0 g 0 G - [-27434(33)]TJ + [-27434(34)]TJ 0 0 1 rg 0 0 1 RG 0 -24.458 Td [(A)-631(License)]TJ 0 g 0 G - [-31489(34)]TJ + [-31489(35)]TJ 0 0 1 rg 0 0 1 RG 0 -24.459 Td [(References)]TJ 0 g 0 G - [-31259(35)]TJ + [-31259(37)]TJ 0 g 0 G 0 g 0 G ET @@ -2135,7 +2135,7 @@ BT 0 g 0 G [(-)]TJ 0 0 1 rg 0 0 1 RG - [(5)]TJ + [(6)]TJ 0 g 0 G [(.)]TJ 0 g 0 G @@ -2170,7 +2170,7 @@ endstream endobj 371 0 obj << -/Length 9087 +/Length 9033 >> stream 0 g 0 G @@ -2347,37 +2347,37 @@ q []0 d 0 J 0.398 w 0 0 m 388.604 0 l S Q q -1 0 0 1 105.524 307.979 cm -[]0 d 0 J 0.398 w 0 0 m 0 176.14 l S +1 0 0 1 105.524 294.43 cm +[]0 d 0 J 0.398 w 0 0 m 0 189.689 l S Q BT /F15 10.9091 Tf 111.501 474.634 Td [(Multilev)28(el)]TJ ET q -1 0 0 1 203.297 307.979 cm -[]0 d 0 J 0.398 w 0 0 m 0 176.14 l S +1 0 0 1 203.297 294.43 cm +[]0 d 0 J 0.398 w 0 0 m 0 189.689 l S Q BT /F44 10.9091 Tf 209.275 474.634 Td [('ML')]TJ ET q -1 0 0 1 261.07 307.979 cm -[]0 d 0 J 0.398 w 0 0 m 0 176.14 l S +1 0 0 1 261.07 294.43 cm +[]0 d 0 J 0.398 w 0 0 m 0 189.689 l S Q BT -/F15 10.9091 Tf 267.048 474.634 Td [(Multi-lev)28(el)-377(h)27(ybrid)-377(preconditioner)-377(\050additiv)28(e)-377(on)]TJ 0 -13.549 Td [(the)-390(same)-391(lev)28(el)-391(and)-390(m)28(ultiplicativ)28(e)-391(through)-390(the)]TJ 0 -13.55 Td 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+[]0 d 0 J 0.398 w 0 0 m 0 189.689 l S Q q -1 0 0 1 105.524 307.779 cm +1 0 0 1 105.524 294.23 cm []0 d 0 J 0.398 w 0 0 m 388.604 0 l S Q 0 g 0 G BT -/F15 10.9091 Tf 123.31 277.09 Td [(T)83(able)-333(1:)-444(Preconditioner)-334(t)28(yp)-28(es,)-333(corresp)-28(onding)-333(strings)-333(and)-334(d)1(e)-1(f)1(ault)-334(c)28(hoices.)]TJ +/F15 10.9091 Tf 123.31 263.541 Td [(T)83(able)-333(1:)-444(Preconditioner)-334(t)28(yp)-28(es,)-333(corresp)-28(onding)-333(strings)-333(and)-334(d)1(e)-1(f)1(ault)-334(c)28(hoices.)]TJ 0 g 0 G 0 g 0 G /F17 11.9552 Tf -29.71 -40.13 Td [(5.1)-1125(Examples)]TJ/F15 10.9091 Tf 0 -20.595 Td [(The)-340(co)-28(de)-340(rep)-28(orted)-340(i)1(n)-340(Figure)]TJ @@ -2388,7 +2388,7 @@ BT 0 0 1 rg 0 0 1 RG [-258(1)]TJ 0 g 0 G - [(\051.)-419(This)]TJ 0 -13.549 Td [(preconditioner)-238(is)-238(c)28(hosen)-238(b)28(y)-238(simply)-238(sp)-27(ecifying)]TJ/F44 10.9091 Tf 212.539 0 Td [('ML')]TJ/F15 10.9091 Tf 25.503 0 Td [(as)-238(second)-238(argumen)28(t)-238(of)]TJ/F44 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[(and)]TJ/F44 10.9091 Tf 21.212 0 Td [(psb_krylov_mod)]TJ/F15 10.9091 Tf 83.818 0 Td [(m)28(ust)-334(b)-27(e)-334(used)-333(b)28(y)-333(the)-334(example)-333(program.)]TJ -88.093 -13.549 Td [(The)-395(part)-395(of)-395(the)-395(co)-28(de)-395(concerning)-395(the)-395(reading)-395(and)-395(assem)27(b)1(ling)-395(of)-396(th)1(e)-396(sparse)-395(matrix)]TJ 0 g 0 G 0 g 0 G ET @@ -2397,34 +2397,34 @@ endstream endobj 389 0 obj << -/Length 7693 +/Length 7864 >> stream 0 g 0 G BT /F15 10.9091 Tf 86.4 740.002 Td [(18)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G -/F15 10.9091 Tf -203.265 -35.866 Td [(matrix)-385(and)-385(v)28(ector)-386(managemen)28(t,)-398(is)-385(not)-385(rep)-28(orted)-385(here)-385(for)-385(brevit)28(y;)-412(t)1(he)-386(statemen)28(ts)-385(con-)]TJ 0 -13.549 Td 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23.91 l S Q BT -/F15 10.9091 Tf 645.41 677.62 Td [(0)]TJ +/F15 9.9626 Tf 643.679 678.337 Td [(0)]TJ ET q -1 0 0 1 718.51 660.006 cm -[]0 d 0 J 0.398 w 0 0 m 0 27.098 l S +1 0 0 1 710.956 662.796 cm +[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S Q BT -/F15 10.9091 Tf 724.488 677.62 Td [(Fill-in)-550(lev)27(el)]TJ/F22 10.9091 Tf 62.164 0 Td [(p)]TJ/F15 10.9091 Tf 11.495 0 Td [(of)-551(th)1(e)-551(incom-)]TJ -73.659 -13.549 Td [(plete)-333(LU)-334(factorizations.)]TJ +/F15 9.9626 Tf 716.934 678.337 Td [(Fill-in)-442(lev)28(el)]TJ/F22 9.9626 Tf 54.605 0 Td [(p)]TJ/F15 9.9626 Tf 9.414 0 Td [(of)-442(the)-442(incomplete)]TJ -64.019 -11.955 Td [(LU)-333(factorizations.)]TJ ET q -1 0 0 1 872.198 660.006 cm -[]0 d 0 J 0.398 w 0 0 m 0 27.098 l S +1 0 0 1 864.644 662.796 cm +[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S Q q -1 0 0 1 306.627 659.807 cm -[]0 d 0 J 0.398 w 0 0 m 565.57 0 l S +1 0 0 1 314.181 662.596 cm +[]0 d 0 J 0.398 w 0 0 m 550.462 0 l S Q q -1 0 0 1 306.627 632.509 cm -[]0 d 0 J 0.398 w 0 0 m 0 27.098 l S +1 0 0 1 314.181 638.487 cm +[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S Q BT -/F44 10.9091 Tf 312.605 650.123 Td [(mld_sub_iluthrs_)]TJ 0 -13.549 Td [(SUB_ILUTHRS)]TJ +/F44 9.9626 Tf 320.159 654.028 Td [(mld_sub_iluthrs_)]TJ 0 -11.955 Td [(SUB_ILUTHRS)]TJ ET q -1 0 0 1 417.795 632.509 cm -[]0 d 0 J 0.398 w 0 0 m 0 27.098 l S +1 0 0 1 425.349 638.487 cm +[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S Q BT -/F44 10.9091 Tf 423.773 650.123 Td [(real\050)]TJ/F18 10.9091 Tf 28.636 0 Td [(kind)]TJ +/F44 9.9626 Tf 431.327 654.028 Td [(real\050)]TJ/F18 9.9626 Tf 26.151 0 Td [(kind)]TJ ET q -1 0 0 1 473.15 650.322 cm -[]0 d 0 J 0.398 w 0 0 m 3.345 0 l S +1 0 0 1 476.42 654.228 cm +[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q BT -/F18 10.9091 Tf 476.496 650.123 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.568 0 Td [(\051)]TJ +/F18 9.9626 Tf 479.476 654.028 Td [(p)51(ar)51(ameter)]TJ/F44 9.9626 Tf 44.354 0 Td [(\051)]TJ ET q -1 0 0 1 536.768 632.509 cm -[]0 d 0 J 0.398 w 0 0 m 0 27.098 l S +1 0 0 1 535.038 638.487 cm +[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S Q BT -/F15 10.9091 Tf 542.746 650.123 Td [(An)28(y)-333(re)-1(al)-333(n)28(um.)]TJ/F25 10.9091 Tf 72.152 0 Td [(\025)]TJ/F15 10.9091 Tf 11.515 0 Td [(0)]TJ +/F15 9.9626 Tf 541.015 654.028 Td [(An)28(y)-334(real)-333(n)28(um.)]TJ/F25 9.9626 Tf 65.892 0 Td [(\025)]TJ/F15 9.9626 Tf 10.516 0 Td [(0)]TJ ET q -1 0 0 1 639.432 632.509 cm -[]0 d 0 J 0.398 w 0 0 m 0 27.098 l S +1 0 0 1 637.702 638.487 cm +[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S Q BT -/F15 10.9091 Tf 645.41 650.123 Td [(0)]TJ +/F15 9.9626 Tf 643.679 654.028 Td [(0)]TJ ET q -1 0 0 1 718.51 632.509 cm -[]0 d 0 J 0.398 w 0 0 m 0 27.098 l S +1 0 0 1 710.956 638.487 cm +[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S Q BT -/F15 10.9091 Tf 724.488 650.123 Td [(Drop)-1063(tol)1(e)-1(r)1(ance)]TJ/F22 10.9091 Tf 90.366 0 Td [(t)]TJ/F15 10.9091 Tf 15.532 0 Td [(in)-1063(t)1(he)]TJ -105.898 -13.549 Td [(ILU\050)]TJ/F22 10.9091 Tf 23.182 0 Td [(p;)-167(t)]TJ/F15 10.9091 Tf 14.276 0 Td [(\051)-333(factorization.)]TJ +/F15 9.9626 Tf 716.934 654.028 Td [(Drop)-332(tolerance)]TJ/F22 9.9626 Tf 67.977 0 Td [(t)]TJ/F15 9.9626 Tf 6.909 0 Td [(in)-332(the)-333(ILU\050)]TJ/F22 9.9626 Tf 49.934 0 Td [(p;)-167(t)]TJ/F15 9.9626 Tf 13.038 0 Td [(\051)]TJ -137.858 -11.955 Td [(factorization.)]TJ ET q -1 0 0 1 872.198 632.509 cm -[]0 d 0 J 0.398 w 0 0 m 0 27.098 l S +1 0 0 1 864.644 638.487 cm +[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S Q q -1 0 0 1 306.627 632.31 cm -[]0 d 0 J 0.398 w 0 0 m 565.57 0 l S +1 0 0 1 314.181 638.287 cm +[]0 d 0 J 0.398 w 0 0 m 550.462 0 l S Q q -1 0 0 1 306.627 550.815 cm -[]0 d 0 J 0.398 w 0 0 m 0 81.295 l S +1 0 0 1 314.181 578.312 cm +[]0 d 0 J 0.398 w 0 0 m 0 59.776 l S Q BT -/F44 10.9091 Tf 312.605 622.626 Td [(mld_sub_ren_)]TJ 0 -13.549 Td [(SUB_REN)]TJ +/F44 9.9626 Tf 320.159 629.72 Td [(mld_sub_ren_)]TJ 0 -11.956 Td [(SUB_REN)]TJ ET q -1 0 0 1 417.795 550.815 cm -[]0 d 0 J 0.398 w 0 0 m 0 81.295 l S +1 0 0 1 425.349 578.312 cm +[]0 d 0 J 0.398 w 0 0 m 0 59.776 l S Q BT -/F44 10.9091 Tf 423.773 622.626 Td [(character\050len=*\051)]TJ +/F44 9.9626 Tf 431.327 629.72 Td [(character\050len=*\051)]TJ ET q -1 0 0 1 536.768 550.815 cm -[]0 d 0 J 0.398 w 0 0 m 0 81.295 l S +1 0 0 1 535.038 578.312 cm +[]0 d 0 J 0.398 w 0 0 m 0 59.776 l S Q BT -/F44 10.9091 Tf 542.746 622.626 Td [('RENUM)]TJ +/F44 9.9626 Tf 541.015 629.72 Td [('RENUM)]TJ ET q -1 0 0 1 577.796 622.825 cm -[]0 d 0 J 0.398 w 0 0 m 3.436 0 l S +1 0 0 1 573.025 629.919 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F44 10.9091 Tf 581.233 622.626 Td [(NONE')]TJ -38.487 -13.549 Td [('RENUM)]TJ +/F44 9.9626 Tf 576.163 629.72 Td [(NONE')]TJ -35.148 -11.956 Td [('RENUM)]TJ ET q -1 0 0 1 577.796 609.276 cm -[]0 d 0 J 0.398 w 0 0 m 3.436 0 l S +1 0 0 1 573.025 617.964 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F44 10.9091 Tf 581.233 609.077 Td [(GLOBAL')]TJ +/F44 9.9626 Tf 576.163 617.764 Td [(GLOBAL')]TJ ET q -1 0 0 1 639.432 550.815 cm -[]0 d 0 J 0.398 w 0 0 m 0 81.295 l S +1 0 0 1 637.702 578.312 cm +[]0 d 0 J 0.398 w 0 0 m 0 59.776 l S Q BT -/F44 10.9091 Tf 645.41 622.626 Td [('RENUM)]TJ +/F44 9.9626 Tf 643.679 629.72 Td [('RENUM)]TJ ET q -1 0 0 1 680.46 622.825 cm -[]0 d 0 J 0.398 w 0 0 m 3.436 0 l S +1 0 0 1 675.689 629.919 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F44 10.9091 Tf 683.897 622.626 Td [(NONE')]TJ +/F44 9.9626 Tf 678.827 629.72 Td [(NONE')]TJ ET q -1 0 0 1 718.51 550.815 cm -[]0 d 0 J 0.398 w 0 0 m 0 81.295 l S +1 0 0 1 710.956 578.312 cm +[]0 d 0 J 0.398 w 0 0 m 0 59.776 l S Q BT -/F15 10.9091 Tf 724.488 622.626 Td [(Ro)28(w)-257(and)-256(column)-256(reordering)-256(of)]TJ 0 -13.549 Td [(the)-423(lo)-28(cal)-422(s)-1(u)1(bmatrice)-1(s:)-623(no)-423(re-)]TJ 0 -13.549 Td [(ordering,)-248(reordering)-227(according)]TJ 0 -13.549 Td [(to)-253(the)-254(global)-253(n)28(um)27(b)-27(ering)-254(of)-253(the)]TJ 0 -13.55 Td [(ro)28(ws)-229(and)-229(columns)-229(of)-229(the)-229(whole)]TJ 0 -13.549 Td [(matrix.)]TJ +/F15 9.9626 Tf 716.934 629.72 Td [(Ro)28(w)-565(and)-565(column)-565(reordering)-565(of)]TJ 0 -11.956 Td [(the)-670(lo)-27(c)-1(al)-669(submatrices:)-1117(no)-670(re-)]TJ 0 -11.955 Td [(ordering,)-282(reordering)-269(according)-270(to)]TJ 0 -11.955 Td [(the)-282(global)-282(n)28(um)28(b)-28(ering)-282(of)-282(the)-282(ro)28(ws)]TJ 0 -11.955 Td [(and)-232(columns)-233(of)-232(the)-233(whole)-232(matrix.)]TJ ET q -1 0 0 1 872.198 550.815 cm -[]0 d 0 J 0.398 w 0 0 m 0 81.295 l S +1 0 0 1 864.644 578.312 cm +[]0 d 0 J 0.398 w 0 0 m 0 59.776 l S Q q -1 0 0 1 306.627 510.168 cm -[]0 d 0 J 0.398 w 0 0 m 0 40.648 l S +1 0 0 1 314.181 542.447 cm +[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S Q BT -/F44 10.9091 Tf 312.605 541.331 Td [(mld_solver_sweeps_)]TJ 0 -27.098 Td [(SOLVER_SWEEPS)]TJ +/F44 9.9626 Tf 320.159 569.944 Td [(mld_solver_sweeps_)]TJ 0 -11.955 Td [(SOLVER_SWEEPS)]TJ ET q -1 0 0 1 417.795 510.168 cm -[]0 d 0 J 0.398 w 0 0 m 0 40.648 l S +1 0 0 1 425.349 542.447 cm +[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S Q BT -/F44 10.9091 Tf 423.773 541.331 Td [(integer)]TJ +/F44 9.9626 Tf 431.327 569.944 Td [(integer)]TJ ET q -1 0 0 1 536.768 510.168 cm -[]0 d 0 J 0.398 w 0 0 m 0 40.648 l S +1 0 0 1 535.038 542.447 cm +[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S Q BT -/F15 10.9091 Tf 542.746 541.331 Td [(An)28(y)-333(in)27(t.)-333(n)28(um.)]TJ/F25 10.9091 Tf 70.606 0 Td [(\025)]TJ/F15 10.9091 Tf 11.515 0 Td [(1)]TJ +/F15 9.9626 Tf 541.015 569.944 Td [(An)28(y)-334(in)28(t.)-333(n)28(um.)]TJ/F25 9.9626 Tf 64.481 0 Td [(\025)]TJ/F15 9.9626 Tf 10.516 0 Td [(1)]TJ ET q -1 0 0 1 639.432 510.168 cm -[]0 d 0 J 0.398 w 0 0 m 0 40.648 l S +1 0 0 1 637.702 542.447 cm +[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S Q BT -/F15 10.9091 Tf 645.41 541.331 Td [(1)]TJ +/F15 9.9626 Tf 643.679 569.944 Td [(1)]TJ ET q -1 0 0 1 718.51 510.168 cm -[]0 d 0 J 0.398 w 0 0 m 0 40.648 l S +1 0 0 1 710.956 542.447 cm +[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S Q BT -/F15 10.9091 Tf 724.488 541.331 Td [(Num)28(b)-28(er)-674(of)-673(sw)27(eeps)-673(for)-674(iter-)]TJ 0 -13.549 Td [(ativ)28(e)-669(lo)-28(cal)-668(solv)27(er)-668(\050curren)28(tly)]TJ 0 -13.549 Td [(only)-333(Gauss-Seidel\051.)]TJ +/F15 9.9626 Tf 716.934 569.944 Td [(Num)28(b)-28(er)-857(of)-857(s)-1(w)28(eeps)-857(for)-857(itera-)]TJ 0 -11.955 Td [(tiv)28(e)-470(lo)-28(cal)-470(solv)28(er)-470(\050curren)28(tly)-469(o)-1(n)1(ly)]TJ 0 -11.956 Td [(Gauss-Seidel\051.)]TJ ET q -1 0 0 1 872.198 510.168 cm -[]0 d 0 J 0.398 w 0 0 m 0 40.648 l S +1 0 0 1 864.644 542.447 cm +[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S Q q -1 0 0 1 306.627 509.969 cm -[]0 d 0 J 0.398 w 0 0 m 565.57 0 l S +1 0 0 1 314.181 542.248 cm +[]0 d 0 J 0.398 w 0 0 m 550.462 0 l S Q q -1 0 0 1 306.627 507.976 cm -[]0 d 0 J 0.398 w 0 0 m 565.57 0 l S +1 0 0 1 314.181 540.255 cm +[]0 d 0 J 0.398 w 0 0 m 550.462 0 l S Q 0 g 0 G BT -/F15 10.9091 Tf 405.352 477.287 Td [(T)83(able)-333(3:)-444(P)27(arameters)-333(de\014ning)-333(the)-334(on)1(e)-1(-lev)28(el)-333(preconditioner)-333(used)-334(as)-333(smo)-28(other.)]TJ +/F15 10.9091 Tf 405.352 509.566 Td [(T)83(able)-333(3:)-444(P)27(arameters)-333(de\014ning)-333(the)-334(on)1(e)-1(-lev)28(el)-333(preconditioner)-333(used)-334(as)-333(smo)-28(other.)]TJ 0 g 0 G 0 g 0 G ET @@ -4055,7 +4055,7 @@ endstream endobj 453 0 obj << -/Length 18776 +/Length 9225 >> stream 0 g 0 G @@ -4074,632 +4074,715 @@ q 0 g 0 G 0 g 0 G q -1 0 0 1 0 393.728 cm -[]0 d 0 J 0.398 w 0 0 m 614.668 0 l S +1 0 0 1 0 237.713 cm +[]0 d 0 J 0.398 w 0 0 m 599.285 0 l S Q q -1 0 0 1 0 379.979 cm +1 0 0 1 0 223.964 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q 1 0 0 1 -299.826 -121.521 cm BT -/F44 10.9091 Tf 305.803 505.565 Td [(what)]TJ +/F44 10.9091 Tf 305.803 349.55 Td [(what)]TJ ET q -1 0 0 1 453.513 501.5 cm +1 0 0 1 453.513 345.485 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 459.491 505.565 Td [(d)22(a)67(t)66(a)-377(type)]TJ +/F41 10.9091 Tf 459.491 349.55 Td [(d)22(a)67(t)66(a)-377(type)]TJ ET q -1 0 0 1 572.487 501.5 cm +1 0 0 1 557.104 345.485 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F44 10.9091 Tf 578.464 505.565 Td [(val)]TJ +/F44 10.9091 Tf 563.081 349.55 Td [(val)]TJ ET q -1 0 0 1 652.473 501.5 cm +1 0 0 1 637.09 345.485 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 658.451 505.565 Td [(def)89(a)22(ul)67(t)]TJ +/F41 10.9091 Tf 643.068 349.55 Td [(def)89(a)22(ul)67(t)]TJ ET q -1 0 0 1 732.46 501.5 cm +1 0 0 1 717.077 345.485 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 738.437 505.565 Td [(comments)]TJ +/F41 10.9091 Tf 723.054 349.55 Td [(comments)]TJ ET q -1 0 0 1 914.493 501.5 cm +1 0 0 1 899.111 345.485 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q q -1 0 0 1 299.826 501.301 cm -[]0 d 0 J 0.398 w 0 0 m 614.668 0 l S +1 0 0 1 299.826 345.286 cm +[]0 d 0 J 0.398 w 0 0 m 599.285 0 l S Q q -1 0 0 1 299.826 406.257 cm +1 0 0 1 299.826 250.242 cm []0 d 0 J 0.398 w 0 0 m 0 94.844 l S Q BT -/F44 10.9091 Tf 305.803 491.617 Td [(mld_coarse_aggr_size_)]TJ 0 -13.549 Td [(COARSE_AGGR_SIZE)]TJ +/F44 10.9091 Tf 305.803 335.602 Td [(mld_coarse_aggr_size_)]TJ 0 -13.549 Td [(COARSE_AGGR_SIZE)]TJ ET q -1 0 0 1 453.513 406.257 cm +1 0 0 1 453.513 250.242 cm []0 d 0 J 0.398 w 0 0 m 0 94.844 l S Q BT -/F44 10.9091 Tf 459.491 491.617 Td [(integer)]TJ +/F44 10.9091 Tf 459.491 335.602 Td [(integer)]TJ ET q -1 0 0 1 572.487 406.257 cm +1 0 0 1 557.104 250.242 cm []0 d 0 J 0.398 w 0 0 m 0 94.844 l S Q BT -/F15 10.9091 Tf 578.464 491.617 Td [(A)-2120(p)-27(ositiv)28(e)]TJ 0 -13.549 Td [(n)28(um)28(b)-28(er)]TJ +/F15 10.9091 Tf 563.081 335.602 Td [(A)-2120(p)-27(ositiv)28(e)]TJ 0 -13.549 Td [(n)28(um)28(b)-28(er)]TJ ET q -1 0 0 1 652.473 406.257 cm +1 0 0 1 637.09 250.242 cm []0 d 0 J 0.398 w 0 0 m 0 94.844 l S Q BT -/F15 10.9091 Tf 658.451 491.617 Td [(The)-2236(cubic)]TJ 0 -13.549 Td [(ro)-28(ot)-1116(of)-1117(the)]TJ 0 -13.549 Td [(matrix)-433(size)-434(at)]TJ 0 -13.549 Td [(the)-333(\014ne)-334(lev)28(el.)]TJ +/F15 10.9091 Tf 643.068 335.602 Td [(The)-2236(cubic)]TJ 0 -13.549 Td [(ro)-28(ot)-1116(of)-1117(the)]TJ 0 -13.549 Td [(matrix)-433(size)-434(at)]TJ 0 -13.549 Td [(the)-333(\014ne)-334(lev)28(el.)]TJ ET q -1 0 0 1 732.46 406.257 cm +1 0 0 1 717.077 250.242 cm []0 d 0 J 0.398 w 0 0 m 0 94.844 l S Q BT -/F15 10.9091 Tf 738.437 491.617 Td [(Coarse)-397(size)-396(threshold.)-634(Aggregation)]TJ 0 -13.549 Td [(will)-428(pro)-28(ceed)-428(un)28(til)-428(either)-428(the)-428(global)]TJ 0 -13.549 Td [(n)28(um)28(b)-28(er)-575(of)-575(v)56(ariables)-575(is)-575(b)-27(elo)27(w)-574(this)]TJ 0 -13.549 Td [(threshold,)-526(or)-487(the)-487(aggregation)-488(d)1(o)-28(es)]TJ 0 -13.55 Td [(not)-488(reduce)-488(the)-487(size)-488(an)27(y)-487(longer,)-527(or)]TJ 0 -13.549 Td [(the)-549(maxim)28(um)-549(n)28(um)28(b)-28(er)-548(of)-549(lev)28(els)-549(is)]TJ 0 -13.549 Td [(reac)28(hed.)]TJ +/F15 10.9091 Tf 723.054 335.602 Td [(Coarse)-397(size)-396(threshold.)-634(Aggregation)]TJ 0 -13.549 Td [(will)-428(pro)-28(ceed)-428(un)28(til)-428(either)-428(the)-428(global)]TJ 0 -13.549 Td [(n)28(um)28(b)-28(er)-575(of)-575(v)56(ariables)-575(is)-575(b)-27(elo)27(w)-574(this)]TJ 0 -13.549 Td [(threshold,)-526(or)-487(the)-487(aggregation)-488(do)-27(es)]TJ 0 -13.549 Td [(not)-488(reduce)-488(the)-487(siz)-1(e)-487(an)27(y)-487(longer,)-527(or)]TJ 0 -13.55 Td [(the)-549(maxim)28(um)-549(n)28(um)28(b)-28(er)-548(of)-549(lev)28(els)-549(is)]TJ 0 -13.549 Td [(reac)28(hed.)]TJ ET q -1 0 0 1 914.493 406.257 cm +1 0 0 1 899.111 250.242 cm []0 d 0 J 0.398 w 0 0 m 0 94.844 l S Q q -1 0 0 1 299.826 406.058 cm -[]0 d 0 J 0.398 w 0 0 m 614.668 0 l S +1 0 0 1 299.826 250.043 cm +[]0 d 0 J 0.398 w 0 0 m 599.285 0 l S Q q -1 0 0 1 299.826 351.662 cm +1 0 0 1 299.826 195.647 cm []0 d 0 J 0.398 w 0 0 m 0 54.197 l S Q BT -/F44 10.9091 Tf 305.803 396.374 Td [(mld_min_aggr_ratio)]TJ 0 -13.549 Td [(MIN_AGGR_RATIO)]TJ +/F44 10.9091 Tf 305.803 240.359 Td [(mld_min_aggr_ratio)]TJ 0 -13.549 Td [(MIN_AGGR_RATIO)]TJ ET q -1 0 0 1 453.513 351.662 cm +1 0 0 1 453.513 195.647 cm []0 d 0 J 0.398 w 0 0 m 0 54.197 l S Q BT -/F44 10.9091 Tf 459.491 396.374 Td [(real)]TJ +/F44 10.9091 Tf 459.491 240.359 Td [(real)]TJ ET q -1 0 0 1 572.487 351.662 cm +1 0 0 1 557.104 195.647 cm []0 d 0 J 0.398 w 0 0 m 0 54.197 l S Q BT -/F15 10.9091 Tf 578.464 396.374 Td [(A)-2178(n)28(um)28(b)-28(er)]TJ 0 -13.549 Td [(greater)-1175(than)]TJ 0 -13.549 Td [(one)]TJ +/F15 10.9091 Tf 563.081 240.359 Td [(A)-2178(n)28(um)28(b)-28(er)]TJ 0 -13.549 Td [(greater)-1175(than)]TJ 0 -13.549 Td [(one)]TJ ET q -1 0 0 1 652.473 351.662 cm +1 0 0 1 637.09 195.647 cm []0 d 0 J 0.398 w 0 0 m 0 54.197 l S Q BT -/F15 10.9091 Tf 658.451 396.374 Td [(1.5)]TJ +/F15 10.9091 Tf 643.068 240.359 Td [(1.5)]TJ ET q -1 0 0 1 732.46 351.662 cm +1 0 0 1 717.077 195.647 cm []0 d 0 J 0.398 w 0 0 m 0 54.197 l S Q BT -/F15 10.9091 Tf 738.437 396.374 Td [(Minim)28(um)-309(aggregation)-309(ratio.)-436(Aggre-)]TJ 0 -13.549 Td [(gation)-319(will)-319(stop)-320(if)-319(the)-319(ratio)-319(b)-28(et)28(w)27(een)]TJ 0 -13.549 Td [(the)-386(matrix)-387(sizes)-386(at)-387(t)28(w)28(o)-387(consecutiv)28(e)]TJ 0 -13.549 Td [(lev)28(els)-334(drops)-333(b)-28(elo)28(w)-333(this)-334(th)1(res)-1(h)1(old.)]TJ +/F15 10.9091 Tf 723.054 240.359 Td [(Minim)28(um)-309(aggregation)-309(ratio.)-436(Aggre-)]TJ 0 -13.549 Td [(gation)-319(will)-319(stop)-320(if)-319(the)-319(ratio)-319(b)-28(et)28(w)27(een)]TJ 0 -13.549 Td [(the)-386(matrix)-387(sizes)-386(at)-387(t)28(w)28(o)-387(consecutiv)28(e)]TJ 0 -13.549 Td [(lev)28(els)-334(drops)-333(b)-28(elo)28(w)-333(this)-334(thr)1(e)-1(shol)1(d.)]TJ ET q -1 0 0 1 914.493 351.662 cm +1 0 0 1 899.111 195.647 cm []0 d 0 J 0.398 w 0 0 m 0 54.197 l S Q q -1 0 0 1 299.826 351.463 cm -[]0 d 0 J 0.398 w 0 0 m 614.668 0 l S +1 0 0 1 299.826 195.448 cm +[]0 d 0 J 0.398 w 0 0 m 599.285 0 l S Q q -1 0 0 1 299.826 269.968 cm +1 0 0 1 299.826 113.953 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F44 10.9091 Tf 305.803 341.779 Td [(mld_n_prec_levs_)]TJ 0 -13.549 Td [(N_PREC_LEVS)]TJ +/F44 10.9091 Tf 305.803 185.764 Td [(mld_n_prec_levs_)]TJ 0 -13.549 Td [(N_PREC_LEVS)]TJ ET q -1 0 0 1 453.513 269.968 cm +1 0 0 1 453.513 113.953 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F44 10.9091 Tf 459.491 341.779 Td [(integer)]TJ +/F44 10.9091 Tf 459.491 185.764 Td [(integer)]TJ ET q -1 0 0 1 572.487 269.968 cm +1 0 0 1 557.104 113.953 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F15 10.9091 Tf 578.464 341.779 Td [(A)-2178(n)28(um)28(b)-28(er)]TJ 0 -13.549 Td [(greater)-1175(than)]TJ 0 -13.549 Td [(1,)-333(or)-334(-1.)]TJ +/F15 10.9091 Tf 563.081 185.764 Td [(A)-2178(n)28(um)28(b)-28(er)]TJ 0 -13.549 Td [(greater)-1175(than)]TJ 0 -13.549 Td [(1,)-333(or)-334(-1.)]TJ ET q -1 0 0 1 652.473 269.968 cm +1 0 0 1 637.09 113.953 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F15 10.9091 Tf 658.451 341.779 Td [(-1)]TJ +/F15 10.9091 Tf 643.068 185.764 Td [(-1)]TJ ET q -1 0 0 1 732.46 269.968 cm +1 0 0 1 717.077 113.953 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F15 10.9091 Tf 738.437 341.779 Td [(Num)28(b)-28(er)-469(of)-468(lev)27(els;)-536(if)-469(set)-469(to)-468(a)-469(p)-28(osi-)]TJ 0 -13.549 Td [(tiv)28(e)-431(n)28(um)27(b)-27(er)-431(greater)-431(than)-431(1,)-455(it)-431(will)]TJ 0 -13.549 Td [(force)-486(the)-486(aggregation)-485(algorithm)-486(to)]TJ 0 -13.549 Td [(use)-523(this)-523(man)28(y)-524(lev)28(els)-523(\050unless)-523(there)]TJ 0 -13.55 Td [(is)-322(no)-322(reduction)-322(in)-322(the)-322(coarse)-322(matrix)]TJ 0 -13.549 Td [(size\051.)]TJ +/F15 10.9091 Tf 723.054 185.764 Td [(Num)28(b)-28(er)-469(of)-468(lev)27(els;)-536(if)-469(set)-469(to)-468(a)-469(p)-28(osi-)]TJ 0 -13.549 Td [(tiv)28(e)-431(n)28(um)27(b)-27(er)-431(greater)-431(than)-431(1,)-455(it)-431(will)]TJ 0 -13.549 Td [(force)-486(the)-486(aggregation)-485(algorithm)-486(to)]TJ 0 -13.549 Td [(use)-523(this)-523(man)28(y)-524(lev)28(els)-523(\050unless)-523(there)]TJ 0 -13.55 Td [(is)-322(no)-322(reduction)-322(in)-322(the)-322(coarse)-322(matrix)]TJ 0 -13.549 Td [(size\051.)]TJ ET q -1 0 0 1 914.493 269.968 cm +1 0 0 1 899.111 113.953 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q q -1 0 0 1 299.826 269.769 cm -[]0 d 0 J 0.398 w 0 0 m 614.668 0 l S +1 0 0 1 299.826 113.754 cm +[]0 d 0 J 0.398 w 0 0 m 599.285 0 l S Q q -1 0 0 1 299.826 228.922 cm +1 0 0 1 299.826 72.907 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 305.803 260.085 Td [(mld_max_prec_levs_)]TJ 0 -13.549 Td [(MAX_PREC_LEVS)]TJ +/F44 10.9091 Tf 305.803 104.071 Td [(mld_max_prec_levs_)]TJ 0 -13.55 Td [(MAX_PREC_LEVS)]TJ ET q -1 0 0 1 453.513 228.922 cm +1 0 0 1 453.513 72.907 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 459.491 260.085 Td [(integer)]TJ +/F44 10.9091 Tf 459.491 104.071 Td [(integer)]TJ ET q -1 0 0 1 572.487 228.922 cm +1 0 0 1 557.104 72.907 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F15 10.9091 Tf 578.464 260.085 Td [(A)-2120(p)-27(ositiv)28(e)]TJ 0 -13.549 Td [(n)28(um)28(b)-28(er)]TJ +/F15 10.9091 Tf 563.081 104.071 Td [(A)-2120(p)-27(ositiv)28(e)]TJ 0 -13.55 Td [(n)28(um)28(b)-28(er)]TJ ET q -1 0 0 1 652.473 228.922 cm +1 0 0 1 637.09 72.907 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F15 10.9091 Tf 658.451 260.085 Td [(20)]TJ +/F15 10.9091 Tf 643.068 104.071 Td [(20)]TJ ET q -1 0 0 1 732.46 228.922 cm +1 0 0 1 717.077 72.907 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F15 10.9091 Tf 738.437 260.085 Td [(Maxim)28(um)-566(n)28(um)28(b)-28(er)-565(of)-565(lev)28(e)-1(ls:)-908(irre-)]TJ 0 -13.549 Td [(sp)-28(ectiv)28(e)-250(of)-250(the)-249(other)-250(settings,)-267(do)-250(n)1(ot)]TJ 0 -13.549 Td [(use)-333(more)-334(than)-333(this)-333(man)27(y)-333(lev)28(els.)]TJ +/F15 10.9091 Tf 723.054 104.071 Td [(Maxim)28(um)-566(n)28(um)28(b)-28(er)-565(of)-565(lev)27(els:)-908(irre-)]TJ 0 -13.55 Td [(sp)-28(ectiv)28(e)-250(of)-250(the)-249(other)-250(settings,)-267(do)-250(n)1(ot)]TJ 0 -13.549 Td [(use)-333(more)-334(than)-333(this)-333(man)27(y)-333(lev)28(els.)]TJ ET q -1 0 0 1 914.493 228.922 cm +1 0 0 1 899.111 72.907 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q q -1 0 0 1 299.826 228.723 cm -[]0 d 0 J 0.398 w 0 0 m 614.668 0 l S +1 0 0 1 299.826 72.708 cm +[]0 d 0 J 0.398 w 0 0 m 599.285 0 l S Q q -1 0 0 1 299.826 160.778 cm +1 0 0 1 299.826 4.763 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F44 10.9091 Tf 305.803 219.039 Td [(mld_aggr_alg_)]TJ 0 -13.549 Td [(AGGR_ALG)]TJ +/F44 10.9091 Tf 305.803 63.024 Td [(mld_aggr_alg_)]TJ 0 -13.549 Td [(AGGR_ALG)]TJ ET q -1 0 0 1 453.513 160.778 cm +1 0 0 1 453.513 4.763 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F44 10.9091 Tf 459.491 219.039 Td [(character\050len=*\051)]TJ +/F44 10.9091 Tf 459.491 63.024 Td [(character\050len=*\051)]TJ ET q -1 0 0 1 572.487 160.778 cm +1 0 0 1 557.104 4.763 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F44 10.9091 Tf 578.464 219.039 Td [('DEC')]TJ/F15 10.9091 Tf 28.636 0 Td [(,)]TJ/F44 10.9091 Tf -28.636 -13.549 Td [('SYMDEC')]TJ +/F44 10.9091 Tf 563.081 63.024 Td [('DEC')]TJ/F15 10.9091 Tf 28.636 0 Td [(,)]TJ/F44 10.9091 Tf -28.636 -13.549 Td [('SYMDEC')]TJ ET q -1 0 0 1 652.473 160.778 cm +1 0 0 1 637.09 4.763 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F44 10.9091 Tf 658.451 219.039 Td [('DEC')]TJ +/F44 10.9091 Tf 643.068 63.024 Td [('DEC')]TJ ET q -1 0 0 1 732.46 160.778 cm +1 0 0 1 717.077 4.763 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F15 10.9091 Tf 738.437 219.039 Td [(Aggregation)-478(algorithm.)-879(Curren)28(tly)83(,)]TJ 0 -13.549 Td [(only)-569(the)-569(decoupled)-569(aggregation)-569(is)]TJ 0 -13.549 Td [(a)28(v)55(ailable;)-311(the)]TJ/F44 10.9091 Tf 66.069 0 Td [(SYMDEC)]TJ/F15 10.9091 Tf 37.641 0 Td [(option)-300(applies)]TJ -103.71 -13.549 Td [(decoupled)-436(aggregation)-437(to)-436(the)-437(spar-)]TJ 0 -13.549 Td [(sit)28(y)-334(patt)1(e)-1(rn)-333(of)]TJ/F22 10.9091 Tf 71.909 0 Td [(A)]TJ/F15 10.9091 Tf 10.606 0 Td [(+)]TJ/F22 10.9091 Tf 10.909 0 Td [(A)]TJ/F23 7.9701 Tf 8.182 3.958 Td [(T)]TJ/F15 10.9091 Tf 6.605 -3.958 Td [(.)]TJ +/F15 10.9091 Tf 723.054 63.024 Td [(Aggregation)-478(algorithm.)-879(Curren)28(tly)83(,)]TJ 0 -13.549 Td [(only)-569(the)-569(decoupled)-569(aggregation)-569(is)]TJ 0 -13.549 Td [(a)28(v)55(ailable;)-311(the)]TJ/F44 10.9091 Tf 66.07 0 Td [(SYMDEC)]TJ/F15 10.9091 Tf 37.64 0 Td [(option)-300(applies)]TJ -103.71 -13.549 Td [(decoupled)-436(aggre)-1(gat)1(ion)-437(to)-436(the)-437(spar-)]TJ 0 -13.549 Td [(sit)28(y)-334(pattern)-333(of)]TJ/F22 10.9091 Tf 71.909 0 Td [(A)]TJ/F15 10.9091 Tf 10.607 0 Td [(+)]TJ/F22 10.9091 Tf 10.909 0 Td [(A)]TJ/F23 7.9701 Tf 8.181 3.958 Td [(T)]TJ/F15 10.9091 Tf 6.605 -3.958 Td [(.)]TJ ET q -1 0 0 1 914.493 160.778 cm +1 0 0 1 899.111 4.763 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q q -1 0 0 1 299.826 160.579 cm -[]0 d 0 J 0.398 w 0 0 m 614.668 0 l S +1 0 0 1 299.826 4.564 cm +[]0 d 0 J 0.398 w 0 0 m 599.285 0 l S Q q -1 0 0 1 299.826 79.084 cm +1 0 0 1 299.826 -76.931 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F44 10.9091 Tf 305.803 150.895 Td [(mld_aggr_ord_)]TJ 0 -13.549 Td [(AGGR_ORD)]TJ +/F44 10.9091 Tf 305.803 -5.12 Td [(mld_aggr_ord_)]TJ 0 -13.549 Td [(AGGR_ORD)]TJ ET q -1 0 0 1 453.513 79.084 cm +1 0 0 1 453.513 -76.931 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F44 10.9091 Tf 459.491 150.895 Td [(character\050len=*\051)]TJ +/F44 10.9091 Tf 459.491 -5.12 Td [(character\050len=*\051)]TJ ET q -1 0 0 1 572.487 79.084 cm +1 0 0 1 557.104 -76.931 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F44 10.9091 Tf 578.464 150.895 Td [('NATURAL')]TJ +/F44 10.9091 Tf 563.081 -5.12 Td [('NATURAL')]TJ ET q -1 0 0 1 652.473 79.084 cm +1 0 0 1 637.09 -76.931 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F44 10.9091 Tf 658.451 150.895 Td [('DEGREE')]TJ +/F44 10.9091 Tf 643.068 -5.12 Td [('DEGREE')]TJ ET q -1 0 0 1 732.46 79.084 cm +1 0 0 1 717.077 -76.931 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F15 10.9091 Tf 738.437 150.895 Td [(Initial)-342(ordering)-343(of)-342(indices)-343(for)-342(aggre-)]TJ 0 -13.549 Td [(gation)-450(algorithm:)-679(natural)-450(ordering)]TJ 0 -13.549 Td [(or)-531(sorted)-531(b)28(y)-531(descending)-531(degree)-531(of)]TJ 0 -13.55 Td [(the)-297(no)-28(de)-297(in)-297(the)-297(matrix)-298(gr)1(aph.)-433(Since)]TJ 0 -13.549 Td [(aggregation)-260(is)-260(heuristics,)-274(res)-1(u)1(lts)-260(will)]TJ 0 -13.549 Td [(b)-28(e)-333(di\013eren)28(t.)]TJ +/F15 10.9091 Tf 723.054 -5.12 Td [(Initial)-342(ordering)-343(of)-342(indices)-343(for)-342(aggre-)]TJ 0 -13.549 Td [(gation)-450(algorithm:)-679(natural)-450(ordering)]TJ 0 -13.549 Td [(or)-531(sorted)-531(b)28(y)-531(descending)-531(degree)-531(of)]TJ 0 -13.55 Td [(the)-297(no)-28(de)-297(in)-297(the)-297(matrix)-298(grap)1(h.)-433(Since)]TJ 0 -13.549 Td [(aggregation)-260(is)-260(heuristics,)-274(res)-1(u)1(lts)-260(will)]TJ 0 -13.549 Td [(b)-28(e)-333(di\013eren)28(t.)]TJ ET q -1 0 0 1 914.493 79.084 cm +1 0 0 1 899.111 -76.931 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q q -1 0 0 1 299.826 78.885 cm +1 0 0 1 299.826 -77.13 cm +[]0 d 0 J 0.398 w 0 0 m 599.285 0 l S +Q +q +1 0 0 1 299.826 -79.123 cm +[]0 d 0 J 0.398 w 0 0 m 599.285 0 l S +Q +0 g 0 G +BT +/F15 10.9091 Tf 459.779 -109.812 Td [(T)83(able)-333(4:)-444(P)27(arameters)-333(de\014ning)-333(the)-334(aggregation)-333(algorithm.)]TJ +0 g 0 G +0 g 0 G +ET +1 0 0 1 299.826 121.521 cm +Q +0 g 0 G +0 g 0 G +0 g 0 G + +endstream +endobj +458 0 obj +<< +/Length 10916 +>> +stream +0 g 0 G +BT +/F15 10.9091 Tf 86.4 740.002 Td [(28)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +0 g 0 G +0 g 0 G +ET +1 0 0 1 292.625 715.095 cm +q +0 -1 1 0 0 0 cm +0 g 0 G +0 g 0 G +0 g 0 G +q +1 0 0 1 0 182.52 cm +[]0 d 0 J 0.398 w 0 0 m 614.668 0 l S +Q +q +1 0 0 1 0 168.772 cm +[]0 d 0 J 0.398 w 0 0 m 0 13.549 l S +Q +1 0 0 1 -292.625 -715.095 cm +BT +/F44 10.9091 Tf 298.603 887.931 Td [(what)]TJ +ET +q +1 0 0 1 446.313 883.867 cm +[]0 d 0 J 0.398 w 0 0 m 0 13.549 l S +Q +BT +/F41 10.9091 Tf 452.29 887.931 Td [(d)22(a)67(t)66(a)-377(type)]TJ +ET +q +1 0 0 1 565.286 883.867 cm +[]0 d 0 J 0.398 w 0 0 m 0 13.549 l S +Q +BT +/F44 10.9091 Tf 571.264 887.931 Td [(val)]TJ +ET +q +1 0 0 1 645.273 883.867 cm +[]0 d 0 J 0.398 w 0 0 m 0 13.549 l S +Q +BT +/F41 10.9091 Tf 651.25 887.931 Td [(def)89(a)22(ul)67(t)]TJ +ET +q +1 0 0 1 725.259 883.867 cm +[]0 d 0 J 0.398 w 0 0 m 0 13.549 l S +Q +BT +/F41 10.9091 Tf 731.237 887.931 Td [(comments)]TJ +ET +q +1 0 0 1 907.293 883.867 cm +[]0 d 0 J 0.398 w 0 0 m 0 13.549 l S +Q +q +1 0 0 1 292.625 883.667 cm []0 d 0 J 0.398 w 0 0 m 614.668 0 l S Q q -1 0 0 1 299.826 38.038 cm +1 0 0 1 292.625 842.82 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 305.803 69.201 Td [(mld_aggr_kind_)]TJ 0 -13.549 Td [(AGGR_KIND)]TJ +/F44 10.9091 Tf 298.603 873.984 Td [(mld_aggr_kind_)]TJ 0 -13.55 Td [(AGGR_KIND)]TJ ET q -1 0 0 1 453.513 38.038 cm +1 0 0 1 446.313 842.82 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 459.491 69.201 Td [(character\050len=*\051)]TJ +/F44 10.9091 Tf 452.29 873.984 Td [(character\050len=*\051)]TJ ET q -1 0 0 1 572.487 38.038 cm +1 0 0 1 565.286 842.82 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 578.464 69.201 Td [('SMOOTHED')]TJ 0 -13.549 Td [('NONSMOOTHED')]TJ +/F44 10.9091 Tf 571.264 873.984 Td [('SMOOTHED')]TJ 0 -13.55 Td [('NONSMOOTHED')]TJ ET q -1 0 0 1 652.473 38.038 cm +1 0 0 1 645.273 842.82 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 658.451 69.201 Td [('SMOOTHED')]TJ +/F44 10.9091 Tf 651.25 873.984 Td [('SMOOTHED')]TJ ET q -1 0 0 1 732.46 38.038 cm +1 0 0 1 725.259 842.82 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F15 10.9091 Tf 738.437 69.201 Td [(T)28(yp)-28(e)-736(of)-736(aggregation:)-1249(smo)-28(othed,)]TJ 0 -13.549 Td [(nonsmo)-28(othed)-464(\050i.e.)-464(using)-465(th)1(e)-465(ten)28(ta-)]TJ 0 -13.549 Td [(tiv)28(e)-334(pr)1(olongator\051.)]TJ +/F15 10.9091 Tf 731.237 873.984 Td [(T)28(yp)-28(e)-736(of)-736(aggregation:)-1249(smo)-28(othed,)]TJ 0 -13.55 Td [(nonsmo)-28(othed)-464(\050i.e.)-464(using)-464(the)-465(ten)28(ta-)]TJ 0 -13.549 Td [(tiv)28(e)-334(p)1(rolongator\051.)]TJ ET q -1 0 0 1 914.493 38.038 cm +1 0 0 1 907.293 842.82 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q q -1 0 0 1 299.826 37.839 cm +1 0 0 1 292.625 842.621 cm []0 d 0 J 0.398 w 0 0 m 614.668 0 l S Q q -1 0 0 1 299.826 10.541 cm +1 0 0 1 292.625 815.324 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F44 10.9091 Tf 305.803 28.155 Td [(mld_aggr_thresh_)]TJ 0 -13.549 Td [(AGGR_THRESH)]TJ +/F44 10.9091 Tf 298.603 832.938 Td [(mld_aggr_thresh_)]TJ 0 -13.55 Td [(AGGR_THRESH)]TJ ET q -1 0 0 1 453.513 10.541 cm +1 0 0 1 446.313 815.324 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F44 10.9091 Tf 459.491 28.155 Td [(real\050)]TJ/F18 10.9091 Tf 28.636 0 Td [(kind)]TJ +/F44 10.9091 Tf 452.29 832.938 Td [(real\050)]TJ/F18 10.9091 Tf 28.636 0 Td [(kind)]TJ ET q -1 0 0 1 508.868 28.354 cm +1 0 0 1 501.668 833.137 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 512.214 28.155 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.568 0 Td [(\051)]TJ +/F18 10.9091 Tf 505.014 832.938 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.567 0 Td [(\051)]TJ ET q -1 0 0 1 572.487 10.541 cm +1 0 0 1 565.286 815.324 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F15 10.9091 Tf 578.464 28.155 Td [(An)28(y)-311(real)-311(n)27(um.)]TJ/F25 10.9091 Tf 0 -13.549 Td [(2)]TJ/F15 10.9091 Tf 10.303 0 Td [([0)]TJ/F22 10.9091 Tf 8.485 0 Td [(;)]TJ/F15 10.9091 Tf 4.848 0 Td [(1])]TJ +/F15 10.9091 Tf 571.264 832.938 Td [(An)28(y)-311(real)-311(n)27(um.)]TJ/F25 10.9091 Tf 0 -13.55 Td [(2)]TJ/F15 10.9091 Tf 10.303 0 Td [([0)]TJ/F22 10.9091 Tf 8.485 0 Td [(;)]TJ/F15 10.9091 Tf 4.848 0 Td [(1])]TJ ET q -1 0 0 1 652.473 10.541 cm +1 0 0 1 645.273 815.324 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F15 10.9091 Tf 658.451 28.155 Td [(0.05)]TJ +/F15 10.9091 Tf 651.25 832.938 Td [(0.05)]TJ ET q -1 0 0 1 732.46 10.541 cm +1 0 0 1 725.259 815.324 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F15 10.9091 Tf 738.437 28.155 Td [(Threshold)]TJ/F22 10.9091 Tf 50.816 0 Td [(\022)]TJ/F15 10.9091 Tf 8.27 0 Td [(in)-261(the)-261(aggregation)-261(algo-)]TJ -59.086 -13.549 Td [(rithm.)]TJ +/F15 10.9091 Tf 731.237 832.938 Td [(Threshold)]TJ/F22 10.9091 Tf 50.815 0 Td [(\022)]TJ/F15 10.9091 Tf 8.271 0 Td [(in)-261(the)-261(aggregation)-260(algo-)]TJ -59.086 -13.55 Td [(rithm.)]TJ ET q -1 0 0 1 914.493 10.541 cm +1 0 0 1 907.293 815.324 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q q -1 0 0 1 299.826 10.342 cm +1 0 0 1 292.625 815.124 cm []0 d 0 J 0.398 w 0 0 m 614.668 0 l S Q q -1 0 0 1 299.826 -16.956 cm +1 0 0 1 292.625 787.827 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F44 10.9091 Tf 305.803 0.658 Td [(mld_aggr_scale_)]TJ 0 -13.549 Td [(AGGR_SCALE)]TJ +/F44 10.9091 Tf 298.603 805.441 Td [(mld_aggr_scale_)]TJ 0 -13.55 Td [(AGGR_SCALE)]TJ ET q -1 0 0 1 453.513 -16.956 cm +1 0 0 1 446.313 787.827 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F44 10.9091 Tf 459.491 0.658 Td [(real\050)]TJ/F18 10.9091 Tf 28.636 0 Td [(kind)]TJ +/F44 10.9091 Tf 452.29 805.441 Td [(real\050)]TJ/F18 10.9091 Tf 28.636 0 Td [(kind)]TJ ET q -1 0 0 1 508.868 0.858 cm +1 0 0 1 501.668 805.64 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 512.214 0.658 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.568 0 Td [(\051)]TJ +/F18 10.9091 Tf 505.014 805.441 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.567 0 Td [(\051)]TJ ET q -1 0 0 1 572.487 -16.956 cm +1 0 0 1 565.286 787.827 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F15 10.9091 Tf 578.464 0.658 Td [(An)28(y)-311(real)-311(n)27(um.)]TJ/F25 10.9091 Tf 0 -13.549 Td [(2)]TJ/F15 10.9091 Tf 10.303 0 Td [([0)]TJ/F22 10.9091 Tf 8.485 0 Td [(;)]TJ/F15 10.9091 Tf 4.848 0 Td [(1])]TJ +/F15 10.9091 Tf 571.264 805.441 Td [(An)28(y)-311(real)-311(n)27(um.)]TJ/F25 10.9091 Tf 0 -13.55 Td [(2)]TJ/F15 10.9091 Tf 10.303 0 Td [([0)]TJ/F22 10.9091 Tf 8.485 0 Td [(;)]TJ/F15 10.9091 Tf 4.848 0 Td [(1])]TJ ET q -1 0 0 1 652.473 -16.956 cm +1 0 0 1 645.273 787.827 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F15 10.9091 Tf 658.451 0.658 Td [(1.0)]TJ +/F15 10.9091 Tf 651.25 805.441 Td [(1.0)]TJ ET q -1 0 0 1 732.46 -16.956 cm +1 0 0 1 725.259 787.827 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F15 10.9091 Tf 738.437 0.658 Td [(Scale)-266(factor)-266(applied)-266(to)-265(the)-266(threshold)]TJ 0 -13.549 Td [(going)-248(from)-249(lev)28(el)]TJ/F22 10.9091 Tf 76.95 0 Td [(il)-20(ev)]TJ/F15 10.9091 Tf 20.697 0 Td [(to)-248(lev)27(el)]TJ/F22 10.9091 Tf 36.33 0 Td [(il)-20(ev)]TJ/F15 10.9091 Tf 18.56 0 Td [(+)-52(1.)]TJ +/F15 10.9091 Tf 731.237 805.441 Td [(Scale)-266(factor)-266(applied)-265(to)-266(the)-266(threshold)]TJ 0 -13.55 Td [(going)-248(from)-249(lev)28(el)]TJ/F22 10.9091 Tf 76.949 0 Td [(il)-20(ev)]TJ/F15 10.9091 Tf 20.698 0 Td [(to)-248(lev)27(el)]TJ/F22 10.9091 Tf 36.33 0 Td [(il)-20(ev)]TJ/F15 10.9091 Tf 18.559 0 Td [(+)-52(1.)]TJ ET q -1 0 0 1 914.493 -16.956 cm +1 0 0 1 907.293 787.827 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q q -1 0 0 1 299.826 -17.155 cm +1 0 0 1 292.625 787.627 cm []0 d 0 J 0.398 w 0 0 m 614.668 0 l S Q q -1 0 0 1 299.826 -85.1 cm +1 0 0 1 292.625 719.682 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F44 10.9091 Tf 305.803 -26.839 Td [(mld_aggr_omega_alg_)]TJ 0 -13.549 Td [(AGGR_OMEGA_ALG)]TJ +/F44 10.9091 Tf 298.603 777.944 Td [(mld_aggr_omega_alg_)]TJ 0 -13.549 Td [(AGGR_OMEGA_ALG)]TJ ET q -1 0 0 1 453.513 -85.1 cm +1 0 0 1 446.313 719.682 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F44 10.9091 Tf 459.491 -26.839 Td [(character\050len=*\051)]TJ +/F44 10.9091 Tf 452.29 777.944 Td [(character\050len=*\051)]TJ ET q -1 0 0 1 572.487 -85.1 cm +1 0 0 1 565.286 719.682 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F44 10.9091 Tf 578.464 -26.839 Td [('EIG)]TJ +/F44 10.9091 Tf 571.264 777.944 Td [('EIG)]TJ ET q -1 0 0 1 602.06 -26.639 cm +1 0 0 1 594.86 778.143 cm []0 d 0 J 0.398 w 0 0 m 3.436 0 l S Q BT -/F44 10.9091 Tf 605.497 -26.839 Td [(EST')]TJ -27.033 -13.549 Td [('USER)]TJ +/F44 10.9091 Tf 598.296 777.944 Td [(EST')]TJ -27.032 -13.549 Td [('USER)]TJ ET q -1 0 0 1 607.787 -40.188 cm +1 0 0 1 600.587 764.594 cm []0 d 0 J 0.398 w 0 0 m 3.436 0 l S Q BT -/F44 10.9091 Tf 611.224 -40.388 Td [(CHOICE')]TJ +/F44 10.9091 Tf 604.023 764.395 Td [(CHOICE')]TJ ET q -1 0 0 1 652.473 -85.1 cm +1 0 0 1 645.273 719.682 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F44 10.9091 Tf 658.451 -26.839 Td [('EIG)]TJ +/F44 10.9091 Tf 651.25 777.944 Td [('EIG)]TJ ET q -1 0 0 1 682.047 -26.639 cm +1 0 0 1 674.846 778.143 cm []0 d 0 J 0.398 w 0 0 m 3.436 0 l S Q BT -/F44 10.9091 Tf 685.483 -26.839 Td [(EST')]TJ +/F44 10.9091 Tf 678.283 777.944 Td [(EST')]TJ ET q -1 0 0 1 732.46 -85.1 cm +1 0 0 1 725.259 719.682 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F15 10.9091 Tf 738.437 -26.839 Td [(Ho)28(w)-508(the)-507(damping)-508(parameter)]TJ/F22 10.9091 Tf 148.269 0 Td [(!)]TJ/F15 10.9091 Tf 12.719 0 Td [(in)]TJ -160.988 -13.549 Td [(the)-269(smo)-28(othed)-269(aggregation)-269(should)-269(b)-28(e)]TJ 0 -13.549 Td [(computed:)-435(either)-315(via)-314(an)-315(estimate)-314(of)]TJ 0 -13.549 Td [(the)-362(sp)-28(ectral)-361(radius)-362(of)]TJ/F22 10.9091 Tf 106.272 0 Td [(D)]TJ/F26 7.9701 Tf 9.335 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F22 10.9091 Tf 4.732 -3.959 Td [(A)]TJ/F15 10.9091 Tf 8.182 0 Td [(,)-369(or)-362(ex-)]TJ -135.108 -13.549 Td [(plicily)-333(sp)-28(eci\014ed)-333(b)27(y)-333(the)-333(user.)]TJ +/F15 10.9091 Tf 731.237 777.944 Td [(Ho)28(w)-508(the)-507(damping)-508(parameter)]TJ/F22 10.9091 Tf 148.269 0 Td [(!)]TJ/F15 10.9091 Tf 12.719 0 Td [(in)]TJ -160.988 -13.549 Td [(the)-269(smo)-28(othed)-269(aggregation)-269(should)-269(b)-28(e)]TJ 0 -13.55 Td [(computed:)-435(either)-315(via)-314(an)-315(estimate)-314(of)]TJ 0 -13.549 Td [(the)-362(sp)-28(ectral)-361(radius)-362(of)]TJ/F22 10.9091 Tf 106.272 0 Td [(D)]TJ/F26 7.9701 Tf 9.335 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.586 0 Td [(1)]TJ/F22 10.9091 Tf 4.732 -3.959 Td [(A)]TJ/F15 10.9091 Tf 8.182 0 Td [(,)-369(or)-362(ex-)]TJ -135.107 -13.549 Td [(plicily)-333(sp)-28(eci\014ed)-333(b)27(y)-333(the)-333(user.)]TJ ET q -1 0 0 1 914.493 -85.1 cm +1 0 0 1 907.293 719.682 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q q -1 0 0 1 299.826 -85.299 cm +1 0 0 1 292.625 719.483 cm []0 d 0 J 0.398 w 0 0 m 614.668 0 l S Q q -1 0 0 1 299.826 -126.146 cm +1 0 0 1 292.625 678.636 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 305.803 -94.983 Td [(mld_aggr_eig_)]TJ 0 -13.549 Td [(AGGR_EIG)]TJ +/F44 10.9091 Tf 298.603 709.799 Td [(mld_aggr_eig_)]TJ 0 -13.549 Td [(AGGR_EIG)]TJ ET q -1 0 0 1 453.513 -126.146 cm +1 0 0 1 446.313 678.636 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 459.491 -94.983 Td [(character\050len=*\051)]TJ +/F44 10.9091 Tf 452.29 709.799 Td [(character\050len=*\051)]TJ ET q -1 0 0 1 572.487 -126.146 cm +1 0 0 1 565.286 678.636 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 578.464 -94.983 Td [('A)]TJ +/F44 10.9091 Tf 571.264 709.799 Td [('A)]TJ ET q -1 0 0 1 590.606 -94.784 cm +1 0 0 1 583.405 709.999 cm []0 d 0 J 0.398 w 0 0 m 3.436 0 l S Q BT -/F44 10.9091 Tf 594.042 -94.983 Td [(NORMI')]TJ +/F44 10.9091 Tf 586.842 709.799 Td [(NORMI')]TJ ET q -1 0 0 1 652.473 -126.146 cm +1 0 0 1 645.273 678.636 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 658.451 -94.983 Td [('A)]TJ +/F44 10.9091 Tf 651.25 709.799 Td [('A)]TJ ET q -1 0 0 1 670.592 -94.784 cm +1 0 0 1 663.392 709.999 cm []0 d 0 J 0.398 w 0 0 m 3.436 0 l S Q BT -/F44 10.9091 Tf 674.029 -94.983 Td [(NORMI')]TJ +/F44 10.9091 Tf 666.828 709.799 Td [(NORMI')]TJ ET q -1 0 0 1 732.46 -126.146 cm +1 0 0 1 725.259 678.636 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F15 10.9091 Tf 738.437 -94.983 Td [(Ho)28(w)-319(to)-320(estimate)-319(the)-319(sp)-28(ectral)-319(radius)]TJ 0 -13.549 Td [(of)]TJ/F22 10.9091 Tf 12.94 0 Td [(D)]TJ/F26 7.9701 Tf 9.334 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F22 10.9091 Tf 4.732 -3.959 Td [(A)]TJ/F15 10.9091 Tf 8.182 0 Td [(.)-586(Curren)28(tly)-381(only)-380(the)-381(in\014n-)]TJ -41.775 -13.549 Td [(it)28(y)-334(n)1(orm)-334(estimate)-333(is)-334(a)28(v)56(ailable.)]TJ +/F15 10.9091 Tf 731.237 709.799 Td [(Ho)28(w)-319(to)-320(estimate)-319(the)-319(sp)-28(ectral)-319(radius)]TJ 0 -13.549 Td [(of)]TJ/F22 10.9091 Tf 12.939 0 Td [(D)]TJ/F26 7.9701 Tf 9.335 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F22 10.9091 Tf 4.732 -3.959 Td [(A)]TJ/F15 10.9091 Tf 8.182 0 Td [(.)-586(Curren)28(tly)-381(only)-380(the)-381(in\014n-)]TJ -41.775 -13.549 Td [(it)28(y)-333(norm)-334(estimate)-333(is)-334(a)28(v)56(ailable.)]TJ ET q -1 0 0 1 914.493 -126.146 cm +1 0 0 1 907.293 678.636 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q q -1 0 0 1 299.826 -126.345 cm +1 0 0 1 292.625 678.437 cm []0 d 0 J 0.398 w 0 0 m 614.668 0 l S Q q -1 0 0 1 299.826 -234.938 cm +1 0 0 1 292.625 569.844 cm []0 d 0 J 0.398 w 0 0 m 0 108.394 l S Q BT -/F44 10.9091 Tf 305.803 -136.029 Td [(mld_aggr_omega_val_)]TJ 0 -13.549 Td [(AGGR_OMEGA_VAL)]TJ +/F44 10.9091 Tf 298.603 668.753 Td [(mld_aggr_omega_val_)]TJ 0 -13.549 Td [(AGGR_OMEGA_VAL)]TJ ET q -1 0 0 1 453.513 -234.938 cm +1 0 0 1 446.313 569.844 cm []0 d 0 J 0.398 w 0 0 m 0 108.394 l S Q BT -/F44 10.9091 Tf 459.491 -136.029 Td [(real\050)]TJ/F18 10.9091 Tf 28.636 0 Td [(kind)]TJ +/F44 10.9091 Tf 452.29 668.753 Td [(real\050)]TJ/F18 10.9091 Tf 28.636 0 Td [(kind)]TJ ET q -1 0 0 1 508.868 -135.83 cm +1 0 0 1 501.668 668.953 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 512.214 -136.029 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.568 0 Td [(\051)]TJ +/F18 10.9091 Tf 505.014 668.753 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.567 0 Td [(\051)]TJ ET q -1 0 0 1 572.487 -234.938 cm +1 0 0 1 565.286 569.844 cm []0 d 0 J 0.398 w 0 0 m 0 108.394 l S Q BT -/F15 10.9091 Tf 578.464 -136.029 Td [(An)28(y)-486(nonnega-)]TJ 0 -13.549 Td [(tiv)28(e)-334(real)-333(n)28(um.)]TJ +/F15 10.9091 Tf 571.264 668.753 Td [(An)28(y)-486(nonnega-)]TJ 0 -13.549 Td [(tiv)28(e)-334(r)1(e)-1(al)-333(n)28(um.)]TJ ET q -1 0 0 1 652.473 -234.938 cm +1 0 0 1 645.273 569.844 cm []0 d 0 J 0.398 w 0 0 m 0 108.394 l S Q BT -/F15 10.9091 Tf 658.451 -136.029 Td [(4)]TJ/F22 10.9091 Tf 5.454 0 Td [(=)]TJ/F15 10.9091 Tf 5.455 0 Td [(\0503)]TJ/F22 10.9091 Tf 9.697 0 Td [(\032)]TJ/F15 10.9091 Tf 5.64 0 Td [(\050)]TJ/F22 10.9091 Tf 4.242 0 Td [(D)]TJ/F26 7.9701 Tf 9.335 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F22 10.9091 Tf 4.732 -3.959 Td [(A)]TJ/F15 10.9091 Tf 8.182 0 Td [(\051\051)]TJ +/F15 10.9091 Tf 651.25 668.753 Td [(4)]TJ/F22 10.9091 Tf 5.455 0 Td [(=)]TJ/F15 10.9091 Tf 5.454 0 Td [(\0503)]TJ/F22 10.9091 Tf 9.697 0 Td [(\032)]TJ/F15 10.9091 Tf 5.64 0 Td [(\050)]TJ/F22 10.9091 Tf 4.243 0 Td [(D)]TJ/F26 7.9701 Tf 9.335 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.586 0 Td [(1)]TJ/F22 10.9091 Tf 4.733 -3.959 Td [(A)]TJ/F15 10.9091 Tf 8.181 0 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859.751 959.084 cm +1 0 0 1 866.952 365.51 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q q -1 0 0 1 319.074 958.885 cm +1 0 0 1 326.274 365.311 cm []0 d 0 J 0.398 w 0 0 m 540.678 0 l S Q q -1 0 0 1 319.074 918.038 cm +1 0 0 1 326.274 324.464 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 325.051 949.202 Td [(mld_coarse_mat_)]TJ 0 -13.55 Td [(COARSE_MAT)]TJ +/F44 10.9091 Tf 332.252 355.627 Td [(mld_coarse_mat_)]TJ 0 -13.549 Td [(COARSE_MAT)]TJ ET q -1 0 0 1 430.241 918.038 cm +1 0 0 1 437.442 324.464 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 436.219 949.202 Td [(character\050len=*\051)]TJ +/F44 10.9091 Tf 443.42 355.627 Td [(character\050len=*\051)]TJ ET q -1 0 0 1 549.215 918.038 cm +1 0 0 1 556.415 324.464 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 555.192 949.202 Td [('DISTR')]TJ 0 -13.55 Td [('REPL')]TJ +/F44 10.9091 Tf 562.393 355.627 Td [('DISTR')]TJ 0 -13.549 Td [('REPL')]TJ ET q -1 0 0 1 651.879 918.038 cm +1 0 0 1 659.079 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149.041 l S Q BT -/F44 10.9091 Tf 325.051 908.155 Td [(mld_coarse_solve_)]TJ 0 -27.098 Td [(COARSE_SOLVE)]TJ +/F44 10.9091 Tf 332.252 314.581 Td [(mld_coarse_solve_)]TJ 0 -27.098 Td [(COARSE_SOLVE)]TJ ET q -1 0 0 1 430.241 768.599 cm +1 0 0 1 437.442 175.024 cm []0 d 0 J 0.398 w 0 0 m 0 149.041 l S Q BT -/F44 10.9091 Tf 436.219 908.155 Td [(character\050len=*\051)]TJ +/F44 10.9091 Tf 443.42 314.581 Td [(character\050len=*\051)]TJ ET q -1 0 0 1 549.215 768.599 cm +1 0 0 1 556.415 175.024 cm []0 d 0 J 0.398 w 0 0 m 0 149.041 l S Q BT -/F44 10.9091 Tf 555.192 908.155 Td [('BJAC')]TJ 0 -13.549 Td [('UMF')]TJ 0 -13.549 Td [('MUMPS')]TJ 0 -13.549 Td [('SLU')]TJ 0 -13.549 Td [('SLUDIST')]TJ +/F44 10.9091 Tf 562.393 314.581 Td [('BJAC')]TJ 0 -13.549 Td [('UMF')]TJ 0 -13.549 Td [('MUMPS')]TJ 0 -13.549 Td [('SLU')]TJ 0 -13.55 Td [('SLUDIST')]TJ ET q -1 0 0 1 651.879 768.599 cm +1 0 0 1 659.079 175.024 cm []0 d 0 J 0.398 w 0 0 m 0 149.041 l S Q BT -/F44 10.9091 Tf 657.856 908.155 Td [('BJAC')]TJ +/F44 10.9091 Tf 665.057 314.581 Td [('BJAC')]TJ ET q -1 0 0 1 706.064 768.599 cm +1 0 0 1 713.264 175.024 cm []0 d 0 J 0.398 w 0 0 m 0 149.041 l S Q BT -/F15 10.9091 Tf 712.041 908.155 Td [(Solv)28(er)-659(used)-659(at)-660(the)-659(coarsest)]TJ 0 -13.549 Td [(lev)28(el:)-929(blo)-27(c)27(k)-575(Jacobi,)-636(sequen-)]TJ 0 -13.549 Td [(tial)-909(LU)-908(from)-908(UMFP)83(A)28(CK,)]TJ 0 -13.549 Td [(sequen)28(tial)-355(LU)-355(from)-355(S)1(up)-28(erLU,)]TJ 0 -13.549 Td [(distributed)-1119(LU)-1118(from)-1119(Su-)]TJ 0 -13.549 Td [(p)-28(erLU)]TJ +/F15 10.9091 Tf 719.242 314.581 Td [(Solv)28(er)-659(used)-659(at)-660(th)1(e)-660(coarsest)]TJ 0 -13.549 Td [(lev)28(el:)-929(b)1(lo)-28(c)27(k)-575(Jacobi,)-635(s)-1(equ)1(e)-1(n)1(-)]TJ 0 -13.549 Td [(tial)-909(LU)-908(from)-908(UMFP)83(A)28(CK,)]TJ 0 -13.549 Td [(sequen)28(tial)-355(LU)-355(from)-354(Sup)-28(erLU,)]TJ 0 -13.55 Td [(distributed)-1119(LU)-1118(from)-1119(Su-)]TJ 0 -13.549 Td [(p)-28(erLU)]TJ ET q -1 0 0 1 743.181 840.609 cm +1 0 0 1 750.381 247.034 cm []0 d 0 J 0.398 w 0 0 m 3.273 0 l S Q BT -/F15 10.9091 Tf 746.454 840.41 Td [(Dist)-1512(or)-1512(MUMPS.)]TJ/F44 10.9091 Tf -34.413 -13.55 Td [('SLUDIST')]TJ/F15 10.9091 Tf 67.8 0 Td [(and)]TJ/F44 10.9091 Tf 33.842 0 Td [('MUMPS')]TJ/F15 10.9091 Tf -101.642 -13.549 Td [(require)-326(the)-326(coarsest)-326(matri)1(x)-326(to)]TJ 0 -13.549 Td [(b)-28(e)-640(distributed,)-717(while)]TJ/F44 10.9091 Tf 113.097 0 Td [('UMF')]TJ/F15 10.9091 Tf -113.097 -13.549 Td [(and)]TJ/F44 10.9091 Tf 24.426 0 Td [('SLU')]TJ/F15 10.9091 Tf 35.483 0 Td [(require)-628(it)-628(to)-628(b)-27(e)]TJ -59.909 -13.549 Td [(replicated.)]TJ +/F15 10.9091 Tf 753.654 246.835 Td [(Dist)-1512(or)-1512(MUMPS.)]TJ/F44 10.9091 Tf -34.412 -13.549 Td [('SLUDIST')]TJ/F15 10.9091 Tf 67.799 0 Td [(and)]TJ/F44 10.9091 Tf 33.843 0 Td [('MUMPS')]TJ/F15 10.9091 Tf -101.642 -13.549 Td [(require)-326(the)-326(coarsest)-325(m)-1(at)1(rix)-326(to)]TJ 0 -13.549 Td [(b)-28(e)-640(distributed,)-717(while)]TJ/F44 10.9091 Tf 113.096 0 Td [('UMF')]TJ/F15 10.9091 Tf -113.096 -13.55 Td [(and)]TJ/F44 10.9091 Tf 24.426 0 Td [('SLU')]TJ/F15 10.9091 Tf 35.483 0 Td [(require)-628(it)-628(to)-628(b)-27(e)]TJ -59.909 -13.549 Td [(replicated.)]TJ ET q -1 0 0 1 859.751 768.599 cm +1 0 0 1 866.952 175.024 cm []0 d 0 J 0.398 w 0 0 m 0 149.041 l S Q q -1 0 0 1 319.074 768.4 cm +1 0 0 1 326.274 174.825 cm []0 d 0 J 0.398 w 0 0 m 540.678 0 l S Q q -1 0 0 1 319.074 659.807 cm +1 0 0 1 326.274 66.232 cm []0 d 0 J 0.398 w 0 0 m 0 108.394 l S Q BT -/F44 10.9091 Tf 325.051 758.716 Td [(mld_coarse_subsolve_)]TJ 0 -27.099 Td [(COARSE_SUBSOLVE)]TJ +/F44 10.9091 Tf 332.252 165.141 Td [(mld_coarse_subsolve_)]TJ 0 -27.098 Td [(COARSE_SUBSOLVE)]TJ ET q -1 0 0 1 430.241 659.807 cm +1 0 0 1 437.442 66.232 cm []0 d 0 J 0.398 w 0 0 m 0 108.394 l S Q BT -/F44 10.9091 Tf 436.219 758.716 Td [(character\050len=*\051)]TJ +/F44 10.9091 Tf 443.42 165.141 Td [(character\050len=*\051)]TJ ET q -1 0 0 1 549.215 659.807 cm +1 0 0 1 556.415 66.232 cm []0 d 0 J 0.398 w 0 0 m 0 108.394 l S Q BT -/F44 10.9091 Tf 555.192 758.716 Td [('ILU')]TJ 0 -13.549 Td [('MILU')]TJ 0 -13.55 Td [('ILUT')]TJ 0 -13.549 Td [('UMF')]TJ 0 -13.549 Td [('SLU')]TJ 0 -13.549 Td [('MUMPS')]TJ +/F44 10.9091 Tf 562.393 165.141 Td [('ILU')]TJ 0 -13.549 Td [('MILU')]TJ 0 -13.549 Td [('ILUT')]TJ 0 -13.549 Td [('UMF')]TJ 0 -13.549 Td [('SLU')]TJ 0 -13.549 Td [('MUMPS')]TJ ET q -1 0 0 1 651.879 659.807 cm +1 0 0 1 659.079 66.232 cm []0 d 0 J 0.398 w 0 0 m 0 108.394 l S Q BT -/F15 10.9091 Tf 657.856 758.716 Td [(See)-333(note)]TJ +/F15 10.9091 Tf 665.057 165.141 Td [(See)-333(note)]TJ ET q -1 0 0 1 706.064 659.807 cm +1 0 0 1 713.264 66.232 cm []0 d 0 J 0.398 w 0 0 m 0 108.394 l S Q BT -/F15 10.9091 Tf 712.041 758.716 Td [(Solv)28(er)-343(for)-342(the)-343(d)1(iagonal)-343(blo)-28(c)28(ks)]TJ 0 -13.549 Td [(of)-456(the)-455(coarse)-456(matrix,)-486(in)-456(case)]TJ 0 -13.55 Td [(the)-304(blo)-28(c)28(k)-304(Jacobi)-304(solv)28(er)-304(is)-304(c)28(ho-)]TJ 0 -13.549 Td [(sen)-727(as)-727(coarsest-lev)27(el)-727(solv)28(er:)]TJ 0 -13.549 Td [(ILU\050)]TJ/F22 10.9091 Tf 23.182 0 Td [(p)]TJ/F15 10.9091 Tf 5.489 0 Td [(\051,)-693(MILU\050)]TJ/F22 10.9091 Tf 48.012 0 Td [(p)]TJ/F15 10.9091 Tf 5.489 0 Td [(\051,)-693(ILU\050)]TJ/F22 10.9091 Tf 38.011 0 Td [(p;)-167(t)]TJ/F15 10.9091 Tf 14.277 0 Td [(\051,)]TJ -134.46 -13.549 Td [(LU)-931(from)-932(UMFP)83(A)28(CK,)-932(LU)]TJ 0 -13.549 Td [(from)-497(Sup)-28(erLU,)-497(plus)-498(triangu-)]TJ 0 -13.549 Td [(lar)-333(solv)27(e.)]TJ +/F15 10.9091 Tf 719.242 165.141 Td [(Solv)28(er)-343(for)-342(the)-342(diagonal)-343(blo)-28(c)28(ks)]TJ 0 -13.549 Td [(of)-456(the)-455(coarse)-456(matrix,)-486(in)-456(case)]TJ 0 -13.549 Td [(the)-304(blo)-28(c)28(k)-304(Jacobi)-304(solv)28(er)-304(is)-304(c)28(ho-)]TJ 0 -13.549 Td [(sen)-727(as)-727(coarsest-lev)28(e)-1(l)-726(s)-1(olv)28(er:)]TJ 0 -13.549 Td [(ILU\050)]TJ/F22 10.9091 Tf 23.182 0 Td [(p)]TJ/F15 10.9091 Tf 5.488 0 Td [(\051,)-693(MILU\050)]TJ/F22 10.9091 Tf 48.012 0 Td [(p)]TJ/F15 10.9091 Tf 5.489 0 Td [(\051,)-693(ILU\050)]TJ/F22 10.9091 Tf 38.012 0 Td [(p;)-167(t)]TJ/F15 10.9091 Tf 14.276 0 Td [(\051,)]TJ -134.459 -13.549 Td [(LU)-931(from)-932(UMFP)83(A)28(CK,)-932(LU)]TJ 0 -13.55 Td [(from)-497(Sup)-28(erLU,)-497(plus)-498(triangu)1(-)]TJ 0 -13.549 Td [(lar)-333(solv)28(e)-1(.)]TJ ET q -1 0 0 1 859.751 659.807 cm +1 0 0 1 866.952 66.232 cm []0 d 0 J 0.398 w 0 0 m 0 108.394 l S Q q -1 0 0 1 319.074 659.607 cm +1 0 0 1 326.274 66.033 cm []0 d 0 J 0.398 w 0 0 m 540.678 0 l S Q q -1 0 0 1 319.074 618.761 cm +1 0 0 1 326.274 25.186 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 325.051 649.924 Td [(mld_coarse_sweeps_)]TJ 0 -27.099 Td [(COARSE_SWEEPS)]TJ +/F44 10.9091 Tf 332.252 56.349 Td [(mld_coarse_sweeps_)]TJ 0 -27.098 Td [(COARSE_SWEEPS)]TJ ET q -1 0 0 1 430.241 618.761 cm +1 0 0 1 437.442 25.186 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 436.219 649.924 Td [(integer)]TJ +/F44 10.9091 Tf 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[(Num)28(b)-28(er)-1536(of)-1537(Blo)-27(c)27(k-Jacobi)]TJ 0 -13.549 Td [(sw)28(eeps)-486(when)-485('BJA)27(C')-485(is)-486(used)]TJ 0 -13.549 Td [(as)-333(coarses)-1(t-lev)28(el)-333(solv)28(er.)]TJ ET q -1 0 0 1 859.751 618.761 cm +1 0 0 1 866.952 25.186 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q q -1 0 0 1 319.074 618.561 cm +1 0 0 1 326.274 24.987 cm []0 d 0 J 0.398 w 0 0 m 540.678 0 l S Q q -1 0 0 1 319.074 577.715 cm +1 0 0 1 326.274 -15.86 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 325.051 608.878 Td [(mld_coarse_fillin_)]TJ 0 -27.099 Td [(COARSE_FILLIN)]TJ +/F44 10.9091 Tf 332.252 15.303 Td [(mld_coarse_fillin_)]TJ 0 -27.098 Td [(COARSE_FILLIN)]TJ ET q -1 0 0 1 430.241 577.715 cm +1 0 0 1 437.442 -15.86 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 436.219 608.878 Td [(integer)]TJ +/F44 10.9091 Tf 443.42 15.303 Td [(integer)]TJ ET q -1 0 0 1 549.215 577.715 cm +1 0 0 1 556.415 -15.86 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F15 10.9091 Tf 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[(plete)-333(LU)-334(factorizations.)]TJ ET q -1 0 0 1 859.751 577.715 cm +1 0 0 1 866.952 -15.86 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q q -1 0 0 1 319.074 577.515 cm +1 0 0 1 326.274 -16.059 cm []0 d 0 J 0.398 w 0 0 m 540.678 0 l S Q q -1 0 0 1 319.074 536.668 cm +1 0 0 1 326.274 -56.906 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 325.051 567.832 Td [(mld_coarse_iluthrs_)]TJ 0 -27.099 Td [(COARSE_ILUTHRS)]TJ +/F44 10.9091 Tf 332.252 -25.743 Td [(mld_coarse_iluthrs_)]TJ 0 -27.098 Td [(COARSE_ILUTHRS)]TJ ET q -1 0 0 1 430.241 536.668 cm +1 0 0 1 437.442 -56.906 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 436.219 567.832 Td [(real\050)]TJ/F18 10.9091 Tf 28.636 0 Td [(kind)]TJ +/F44 10.9091 Tf 443.42 -25.743 Td [(real\050)]TJ/F18 10.9091 Tf 28.636 0 Td [(kind)]TJ ET q -1 0 0 1 485.597 568.031 cm +1 0 0 1 492.797 -25.543 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 488.942 567.832 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.568 0 Td 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0 Td [(p;)-167(t)]TJ/F15 10.9091 Tf 14.277 0 Td [(\051)-333(factorization.)]TJ +/F15 10.9091 Tf 719.242 -25.743 Td [(Drop)-1063(tol)1(e)-1(r)1(ance)]TJ/F22 10.9091 Tf 90.366 0 Td [(t)]TJ/F15 10.9091 Tf 15.532 0 Td [(in)-1063(t)1(he)]TJ -105.898 -13.549 Td [(ILU\050)]TJ/F22 10.9091 Tf 23.182 0 Td [(p;)-167(t)]TJ/F15 10.9091 Tf 14.276 0 Td [(\051)-333(factorization.)]TJ ET q -1 0 0 1 859.751 536.668 cm +1 0 0 1 866.952 -56.906 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q q -1 0 0 1 319.074 536.469 cm +1 0 0 1 326.274 -57.105 cm []0 d 0 J 0.398 w 0 0 m 540.678 0 l S Q q -1 0 0 1 319.074 522.721 cm +1 0 0 1 326.274 -70.854 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F43 10.9091 Tf 325.051 526.786 Td [(Note:)]TJ/F15 10.9091 Tf 35.053 0 Td [(defaults)-333(for)]TJ/F44 10.9091 Tf 57.667 0 Td [(m)]TJ/F15 10.9091 Tf 5.727 0 Td [(ld)]TJ +/F43 10.9091 Tf 332.252 -66.789 Td [(Note:)]TJ/F15 10.9091 Tf 35.053 0 Td [(defaults)-333(for)]TJ/F44 10.9091 Tf 57.666 0 Td [(m)]TJ/F15 10.9091 Tf 5.728 0 Td 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[(double)-333(precision)-334(v)28(ersion:)-444('MUMPS')-333(if)-334(in)1(s)-1(tal)1(le)-1(d)1(,)-334('UMF')-333(if)-333(installed,)-334(else)-333('SLU')-333(if)-333(installed,)-334('ILU')-333(otherwise)]TJ ET q -1 0 0 1 859.751 495.622 cm +1 0 0 1 866.952 -97.952 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q q -1 0 0 1 319.074 495.423 cm +1 0 0 1 326.274 -98.151 cm []0 d 0 J 0.398 w 0 0 m 540.678 0 l S Q 0 g 0 G BT -/F15 10.9091 Tf 403.64 464.734 Td [(T)83(able)-333(5:)-444(P)27(arameters)-333(de\014ning)-333(the)-334(coarse-space)-333(correction)-333(at)-334(the)-333(coarsest)-334(l)1(e)-1(v)28(el.)]TJ +/F15 10.9091 Tf 410.84 -128.84 Td [(T)83(able)-333(6:)-444(P)27(arameters)-333(de\014ning)-333(the)-334(coarse-space)-333(correction)-333(at)-334(the)-333(coarsest)-334(lev)28(el.)]TJ 0 g 0 G 0 g 0 G ET -1 0 0 1 292.625 715.095 cm +1 0 0 1 299.826 121.521 cm Q 0 g 0 G 0 g 0 G @@ -5116,142 +5202,139 @@ Q endstream endobj -466 0 obj +471 0 obj << -/Length 3122 +/Length 3123 >> stream 0 g 0 G 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0 Td [(.)]TJ -177.543 -13.549 Td [(The)-354(comm)28(unication)-354(descriptor)-354(of)]TJ/F44 10.9091 Tf 162.835 0 Td [(a)]TJ/F15 10.9091 Tf 5.727 0 Td [(.)-506(See)-354(the)-354(PSBLAS)-354(User's)-354(Gu)1(ide)-354(for)]TJ -168.562 -13.549 Td [(details)-333([)]TJ 1 0 0 rg 1 0 0 RG [(16)]TJ 0 g 0 G - [(].)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(p)-3689(type\050mld_)]TJ/F18 10.9091 Tf 97.516 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(prec_type\051,)-525(intent\050inout\051)]TJ/F15 10.9091 Tf 143.18 0 Td [(.)]TJ -201.099 -13.549 Td [(The)-478(preconditioner)-478(data)-478(structure.)-878(Note)-478(that)]TJ/F18 10.9091 Tf 233.108 0 Td [(x)]TJ/F15 10.9091 Tf 11.589 0 Td [(m)28(ust)-478(b)-28(e)-478(c)28(hosen)-478(ac-)]TJ -244.697 -13.55 Td [(cording)-269(to)-269(the)-270(real/complex,)-282(single/double)-269(precision)-269(v)27(ersion)-269(of)-269(MLD2P4)]TJ 0 -13.549 Td [(under)-333(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ + [(].)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(p)-3689(type\050mld_)]TJ/F18 10.9091 Tf 97.516 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(prec_type\051,)-525(intent\050inout\051)]TJ/F15 10.9091 Tf 143.18 0 Td [(.)]TJ -201.099 -13.549 Td [(The)-478(preconditioner)-478(data)-478(structure.)-878(Note)-478(that)]TJ/F18 10.9091 Tf 233.108 0 Td [(x)]TJ/F15 10.9091 Tf 11.588 0 Td [(m)28(ust)-478(b)-28(e)-478(c)28(hosen)-478(ac-)]TJ -244.696 -13.55 Td [(cording)-269(to)-269(the)-270(real/complex,)-282(single/double)-269(precision)-269(v)27(ersion)-269(of)-269(MLD2P4)]TJ 0 -13.549 Td [(under)-333(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ 0 0 1 rg 0 0 1 RG [-333(7)]TJ 0 g 0 G - [-333(for)-334(details.)]TJ + [-333(for)-334(d)1(e)-1(tail)1(s)-1(.)]TJ 0 g 0 G 0 g 0 G ET endstream endobj -471 0 obj +477 0 obj << -/Length 9096 +/Length 9064 >> stream 0 g 0 G +0 0 1 rg 0 0 1 RG BT -/F15 10.9091 Tf 86.4 740.002 Td [(30)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F41 10.9091 Tf 93.6 740.002 Td [(6)]TJ +0 g 0 G + [-378(User)-377(Interf)88(a)23(ce)]TJ/F15 10.9091 Tf 401.542 0 Td [(31)]TJ 0 g 0 G -/F17 11.9552 Tf -203.265 -35.866 Td [(6.4)-1125(Subroutine)-375(mld)]TJ +/F17 11.9552 Tf -401.542 -35.866 Td [(6.4)-1125(Subroutine)-375(mld)]TJ ET q -1 0 0 1 209.422 704.336 cm +1 0 0 1 216.622 704.336 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F17 11.9552 Tf 213.457 704.136 Td [(precaply)]TJ +/F17 11.9552 Tf 220.657 704.136 Td [(precaply)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf -9.603 -20.594 Td [(mld_precaply\050p,x,y,desc_a,info\051)]TJ -31.5 -13.549 Td [(mld_precaply\050p,x,y,desc_a,info,trans,work\051)]TJ/F15 10.9091 Tf -85.954 -25.505 Td [(This)-382(routine)-381(computes)]TJ/F22 10.9091 Tf 112.644 0 Td [(y)]TJ/F15 10.9091 Tf 9.65 0 Td [(=)]TJ/F22 10.9091 Tf 12.394 0 Td [(op)]TJ/F15 10.9091 Tf 10.777 0 Td [(\050)]TJ/F22 10.9091 Tf 4.242 0 Td [(M)]TJ/F26 7.9701 Tf 11.773 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.586 0 Td [(1)]TJ/F15 10.9091 Tf 4.733 -3.959 Td [(\051)]TJ/F22 10.9091 Tf 6.06 0 Td [(x)]TJ/F15 10.9091 Tf 6.235 0 Td [(,)-394(where)]TJ/F22 10.9091 Tf 39.4 0 Td [(M)]TJ/F15 10.9091 Tf 15.937 0 Td [(is)-382(a)-381(previously)-382(built)-382(precondi)1(tioner,)]TJ -240.431 -13.549 Td [(stored)-423(in)27(to)]TJ/F44 10.9091 Tf 56.907 0 Td [(p)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)-446(and)]TJ/F22 10.9091 Tf 30.092 0 Td [(op)]TJ/F15 10.9091 Tf 15.397 0 Td [(denotes)-424(th)1(e)-424(preconditioner)-423(itself)-424(or)-423(its)-424(transp)-28(ose,)-446(according)-423(to)]TJ -108.123 -13.549 Td [(the)-496(v)56(alue)-496(of)]TJ/F44 10.9091 Tf 64.719 0 Td [(trans)]TJ/F15 10.9091 Tf 28.636 0 Td [(.)-933(Note)-496(that,)-536(when)-496(MLD2P4)-496(is)-496(used)-496(with)-496(a)-496(Krylo)27(v)-496(solv)28(er)-496(from)]TJ -93.355 -13.549 Td [(PSBLAS,)]TJ/F44 10.9091 Tf 49.363 0 Td [(mld_precaply)]TJ/F15 10.9091 Tf 72.787 0 Td [(is)-372(called)-372(within)-373(th)1(e)-373(PSBLAS)-372(routine)]TJ/F44 10.9091 Tf 180.666 0 Td [(psb_krylov)]TJ/F15 10.9091 Tf 61.332 0 Td [(and)-372(hence)]TJ -364.148 -13.55 Td [(it)-333(is)-334(completely)-333(transparen)28(t)-333(to)-334(the)-333(user.)]TJ/F17 11.9552 Tf 0 -40.647 Td [(Argumen)31(ts)]TJ/F44 10.9091 Tf 22.914 -12.805 Td [(p)-3689(type\050mld_)]TJ/F18 10.9091 Tf 97.516 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(prec_type\051,)-525(intent\050inout\051)]TJ/F15 10.9091 Tf 143.18 0 Td [(.)]TJ -201.099 -13.55 Td [(The)-282(p)1(re)-1(cond)1(itioner)-282(data)-281(structure,)-292(con)28(taining)-282(the)-281(lo)-28(cal)-282(part)-281(of)]TJ/F22 10.9091 Tf 297.967 0 Td [(M)]TJ/F15 10.9091 Tf 11.773 0 Td [(.)-427(Note)]TJ -309.74 -13.549 Td [(that)]TJ/F18 10.9091 Tf 25.362 0 Td [(x)]TJ/F15 10.9091 Tf 11.737 0 Td [(m)28(ust)-492(b)-27(e)-492(c)28(hosen)-492(according)-491(to)-492(the)-491(real/com)-1(p)1(lex,)-532(single/dou)1(ble)]TJ -37.099 -13.549 Td [(precision)-333(v)28(e)-1(rsion)-333(of)-333(MLD2P4)-333(under)-334(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(x)]TJ/F18 10.9091 Tf 45.971 0 Td [(typ)51(e)]TJ/F44 10.9091 Tf 19.777 0 Td [(\050)]TJ/F18 10.9091 Tf 5.727 0 Td [(kind)]TJ +/F44 10.9091 Tf -9.603 -20.594 Td [(mld_precaply\050p,x,y,desc_a,info\051)]TJ -31.5 -13.549 Td [(mld_precaply\050p,x,y,desc_a,info,trans,work\051)]TJ/F15 10.9091 Tf -85.954 -25.505 Td [(This)-382(routine)-381(computes)]TJ/F22 10.9091 Tf 112.644 0 Td [(y)]TJ/F15 10.9091 Tf 9.65 0 Td [(=)]TJ/F22 10.9091 Tf 12.395 0 Td [(op)]TJ/F15 10.9091 Tf 10.776 0 Td [(\050)]TJ/F22 10.9091 Tf 4.243 0 Td [(M)]TJ/F26 7.9701 Tf 11.772 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051)]TJ/F22 10.9091 Tf 6.061 0 Td [(x)]TJ/F15 10.9091 Tf 6.235 0 Td [(,)-394(where)]TJ/F22 10.9091 Tf 39.399 0 Td [(M)]TJ/F15 10.9091 Tf 15.937 0 Td [(is)-382(a)-381(previously)-382(built)-382(preconditi)1(oner,)]TJ -240.431 -13.549 Td [(stored)-424(in)28(to)]TJ/F44 10.9091 Tf 56.907 0 Td [(p)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)-446(and)]TJ/F22 10.9091 Tf 30.092 0 Td [(op)]TJ/F15 10.9091 Tf 15.397 0 Td [(denotes)-424(the)-423(preconditioner)-423(itself)-424(or)-423(its)-424(transp)-28(ose,)-446(according)-423(to)]TJ -108.123 -13.549 Td [(the)-496(v)56(alue)-497(of)]TJ/F44 10.9091 Tf 64.719 0 Td [(trans)]TJ/F15 10.9091 Tf 28.636 0 Td [(.)-933(Note)-496(that,)-536(when)-496(MLD2P4)-496(is)-496(used)-496(with)-496(a)-496(Krylo)27(v)-496(solv)28(er)-496(from)]TJ -93.355 -13.549 Td [(PSBLAS,)]TJ/F44 10.9091 Tf 49.364 0 Td [(mld_precaply)]TJ/F15 10.9091 Tf 72.787 0 Td [(is)-372(called)-372(within)-372(the)-373(PSBLAS)-372(routine)]TJ/F44 10.9091 Tf 180.665 0 Td [(psb_krylov)]TJ/F15 10.9091 Tf 61.332 0 Td [(and)-372(hence)]TJ -364.148 -13.55 Td [(it)-333(is)-334(completely)-333(transparen)28(t)-333(to)-334(the)-333(user.)]TJ/F17 11.9552 Tf 0 -40.647 Td [(Argumen)31(ts)]TJ/F44 10.9091 Tf 22.914 -12.805 Td [(p)-3689(type\050mld_)]TJ/F18 10.9091 Tf 97.516 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(prec_type\051,)-525(intent\050inout\051)]TJ/F15 10.9091 Tf 143.18 0 Td [(.)]TJ -201.099 -13.55 Td [(The)-282(pr)1(e)-1(cond)1(itioner)-282(data)-281(structure,)-292(con)28(taining)-282(the)-281(lo)-28(cal)-282(part)-281(of)]TJ/F22 10.9091 Tf 297.967 0 Td [(M)]TJ/F15 10.9091 Tf 11.773 0 Td [(.)-427(Note)]TJ -309.74 -13.549 Td [(that)]TJ/F18 10.9091 Tf 25.362 0 Td [(x)]TJ/F15 10.9091 Tf 11.737 0 Td [(m)28(ust)-492(b)-28(e)-491(c)28(hosen)-492(according)-491(to)-492(the)-491(real/c)-1(ompl)1(e)-1(x,)-531(single/dou)1(ble)]TJ -37.099 -13.549 Td [(precision)-333(v)27(ersion)-333(of)-333(MLD2P4)-333(under)-334(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(x)]TJ/F18 10.9091 Tf 45.971 0 Td [(typ)51(e)]TJ/F44 10.9091 Tf 19.777 0 Td [(\050)]TJ/F18 10.9091 Tf 5.727 0 Td [(kind)]TJ ET q -1 0 0 1 201.531 482.841 cm +1 0 0 1 208.731 482.841 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 204.876 482.642 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.568 0 Td [(\051,)-525(dimension\050:\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 154.635 0 Td [(.)]TJ -252.794 -13.549 Td [(The)-300(lo)-28(cal)-300(part)-301(of)-300(the)-300(v)28(ector)]TJ/F22 10.9091 Tf 133.655 0 Td [(x)]TJ/F15 10.9091 Tf 6.235 0 Td [(.)-433(Note)-301(that)]TJ/F18 10.9091 Tf 57.038 0 Td [(typ)51(e)]TJ/F15 10.9091 Tf 23.053 0 Td [(and)]TJ/F18 10.9091 Tf 20.851 0 Td [(kind)]TJ +/F18 10.9091 Tf 212.077 482.642 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.567 0 Td [(\051,)-525(dimension\050:\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 154.635 0 Td [(.)]TJ -252.794 -13.549 Td [(The)-300(lo)-28(cal)-300(part)-301(of)-300(the)-300(v)28(ector)]TJ/F22 10.9091 Tf 133.656 0 Td [(x)]TJ/F15 10.9091 Tf 6.234 0 Td [(.)-433(Note)-301(that)]TJ/F18 10.9091 Tf 57.038 0 Td [(typ)51(e)]TJ/F15 10.9091 Tf 23.053 0 Td [(and)]TJ/F18 10.9091 Tf 20.852 0 Td [(kind)]TJ ET q -1 0 0 1 416.859 469.292 cm +1 0 0 1 424.059 469.292 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 420.204 469.093 Td [(p)51(ar)51(ameter)]TJ/F15 10.9091 Tf 51.844 0 Td [(m)28(ust)]TJ -316.763 -13.55 Td [(b)-28(e)-263(c)28(hosen)-264(accordi)1(ng)-264(to)-263(the)-263(real/complex,)-277(single/double)-264(pr)1(e)-1(cision)-263(v)28(ersion)]TJ 0 -13.549 Td [(of)-333(MLD2P4)-334(u)1(nder)-334(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(y)]TJ/F18 10.9091 Tf 45.971 0 Td [(typ)51(e)]TJ/F44 10.9091 Tf 19.777 0 Td [(\050)]TJ/F18 10.9091 Tf 5.727 0 Td [(kind)]TJ +/F18 10.9091 Tf 427.405 469.093 Td [(p)51(ar)51(ameter)]TJ/F15 10.9091 Tf 51.844 0 Td [(m)28(ust)]TJ -316.764 -13.55 Td [(b)-28(e)-263(c)28(hosen)-264(accordin)1(g)-264(to)-263(the)-263(real/complex,)-277(s)-1(i)1(ngle/double)-264(precision)-263(v)28(ersion)]TJ 0 -13.549 Td [(of)-333(MLD2P4)-334(un)1(der)-334(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(y)]TJ/F18 10.9091 Tf 45.971 0 Td [(typ)51(e)]TJ/F44 10.9091 Tf 19.777 0 Td [(\050)]TJ/F18 10.9091 Tf 5.727 0 Td [(kind)]TJ ET q -1 0 0 1 201.531 428.644 cm +1 0 0 1 208.731 428.644 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 204.876 428.445 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.568 0 Td [(\051,)-525(dimension\050:\051,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.362 0 Td [(.)]TJ -258.521 -13.549 Td [(The)-304(lo)-28(cal)-304(part)-305(of)-304(the)-304(v)28(ector)]TJ/F22 10.9091 Tf 133.917 0 Td [(y)]TJ/F15 10.9091 Tf 5.74 0 Td [(.)-435(Note)-304(that)]TJ/F18 10.9091 Tf 57.14 0 Td [(typ)51(e)]TJ/F15 10.9091 Tf 23.096 0 Td [(and)]TJ/F18 10.9091 Tf 20.896 0 Td [(kind)]TJ +/F18 10.9091 Tf 212.077 428.445 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.567 0 Td [(\051,)-525(dimension\050:\051,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.362 0 Td [(.)]TJ -258.521 -13.549 Td [(The)-304(lo)-28(cal)-304(part)-305(of)-304(the)-304(v)28(ector)]TJ/F22 10.9091 Tf 133.918 0 Td [(y)]TJ/F15 10.9091 Tf 5.74 0 Td [(.)-435(Note)-304(that)]TJ/F18 10.9091 Tf 57.139 0 Td [(typ)51(e)]TJ/F15 10.9091 Tf 23.097 0 Td [(and)]TJ/F18 10.9091 Tf 20.895 0 Td [(kind)]TJ ET q -1 0 0 1 416.815 415.095 cm +1 0 0 1 424.016 415.095 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 420.161 414.896 Td [(p)51(ar)51(ameter)]TJ/F15 10.9091 Tf 51.887 0 Td [(m)28(ust)]TJ -316.763 -13.549 Td [(b)-28(e)-263(c)28(hosen)-264(accordi)1(ng)-264(to)-263(the)-263(real/complex,)-277(single/double)-264(pr)1(e)-1(cision)-263(v)28(ersion)]TJ 0 -13.55 Td [(of)-333(MLD2P4)-334(u)1(nder)-334(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(desc_a)-1064(type\050psb_desc_type\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 223.514 0 Td [(.)]TJ -177.543 -13.549 Td [(The)-319(c)-1(omm)28(unication)-319(descriptor)-320(asso)-28(ciated)-319(to)-320(th)1(e)-320(matrix)-319(to)-320(b)-28(e)-319(precondi-)]TJ 0 -13.549 Td [(tioned.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ +/F18 10.9091 Tf 427.361 414.896 Td [(p)51(ar)51(ameter)]TJ/F15 10.9091 Tf 51.888 0 Td [(m)28(ust)]TJ -316.764 -13.549 Td [(b)-28(e)-263(c)28(hosen)-264(accordin)1(g)-264(to)-263(the)-263(real/complex,)-277(s)-1(i)1(ngle/double)-264(precision)-263(v)28(ersion)]TJ 0 -13.55 Td [(of)-333(MLD2P4)-334(un)1(der)-334(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(desc_a)-1064(type\050psb_desc_type\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 223.515 0 Td [(.)]TJ -177.544 -13.549 Td [(The)-320(comm)28(unication)-319(descriptor)-320(asso)-28(ciated)-319(to)-320(the)-319(matrix)-320(t)1(o)-320(b)-28(e)-319(precondi-)]TJ 0 -13.549 Td [(tioned.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ 0 0 1 rg 0 0 1 RG [-333(7)]TJ 0 g 0 G - [-333(for)-334(d)1(e)-1(tail)1(s)-1(.)]TJ/F44 10.9091 Tf -45.971 -13.55 Td [(trans)-1589(character\050len=1\051,)-525(optional,)-525(intent\050in\051.)]TJ/F15 10.9091 Tf 45.971 -13.549 Td [(If)]TJ/F44 10.9091 Tf 13.647 0 Td [(trans)]TJ/F15 10.9091 Tf 35.01 0 Td [(=)]TJ/F44 10.9091 Tf 14.86 0 Td [('N','n')]TJ/F15 10.9091 Tf 46.465 0 Td [(then)]TJ/F22 10.9091 Tf 27.586 0 Td [(op)]TJ/F15 10.9091 Tf 10.777 0 Td [(\050)]TJ/F22 10.9091 Tf 4.242 0 Td [(M)]TJ/F26 7.9701 Tf 11.773 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.586 0 Td [(1)]TJ/F15 10.9091 Tf 4.733 -3.959 Td [(\051)-696(=)]TJ/F22 10.9091 Tf 27.914 0 Td [(M)]TJ/F26 7.9701 Tf 11.773 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(;)-710(if)]TJ/F44 10.9091 Tf 23.512 0 Td [(trans)]TJ/F15 10.9091 Tf 35.01 0 Td [(=)]TJ/F44 10.9091 Tf 14.86 0 Td [('T','t')]TJ/F15 10.9091 Tf -300.067 -13.549 Td [(then)]TJ/F22 10.9091 Tf 25.695 0 Td [(op)]TJ/F15 10.9091 Tf 10.777 0 Td [(\050)]TJ/F22 10.9091 Tf 4.242 0 Td [(M)]TJ/F26 7.9701 Tf 11.773 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051)-407(=)]TJ/F22 10.9091 Tf 21.611 0 Td [(M)]TJ/F26 7.9701 Tf 11.773 3.959 Td [(\000)]TJ/F23 7.9701 Tf 6.587 0 Td [(T)]TJ/F15 10.9091 Tf 11.087 -3.959 Td [(\050transp)-28(ose)-411(of)]TJ/F22 10.9091 Tf 67.301 0 Td [(M)]TJ/F26 7.9701 Tf 11.773 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.586 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051;)-450(if)]TJ/F44 10.9091 Tf 23.027 0 Td [(trans)]TJ/F15 10.9091 Tf 33.12 0 Td [(=)]TJ/F44 10.9091 Tf 12.968 0 Td [('C','c')]TJ/F15 10.9091 Tf 44.574 0 Td [(then)]TJ/F22 10.9091 Tf -318.945 -13.549 Td [(op)]TJ/F15 10.9091 Tf 10.776 0 Td [(\050)]TJ/F22 10.9091 Tf 4.243 0 Td [(M)]TJ/F26 7.9701 Tf 11.772 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051)-278(=)]TJ/F22 10.9091 Tf 18.788 0 Td [(M)]TJ/F26 7.9701 Tf 11.773 3.959 Td [(\000)]TJ/F23 7.9701 Tf 6.586 0 Td [(C)]TJ/F15 10.9091 Tf 10.733 -3.959 Td [(\050conjugate)-333(transp)-28(ose)-333(of)]TJ/F22 10.9091 Tf 115.001 0 Td [(M)]TJ/F26 7.9701 Tf 11.772 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051.)]TJ/F44 10.9091 Tf -270.053 -13.549 Td [(work)]TJ/F18 10.9091 Tf 45.971 0 Td [(typ)51(e)]TJ/F44 10.9091 Tf 19.777 0 Td [(\050)]TJ/F18 10.9091 Tf 5.727 0 Td [(kind)]TJ + [-333(for)-334(details.)]TJ/F44 10.9091 Tf -45.971 -13.55 Td [(trans)-1589(character\050len=1\051,)-525(optional,)-525(intent\050in\051.)]TJ/F15 10.9091 Tf 45.971 -13.549 Td [(If)]TJ/F44 10.9091 Tf 13.647 0 Td [(trans)]TJ/F15 10.9091 Tf 35.011 0 Td [(=)]TJ/F44 10.9091 Tf 14.859 0 Td [('N','n')]TJ/F15 10.9091 Tf 46.465 0 Td [(then)]TJ/F22 10.9091 Tf 27.587 0 Td [(op)]TJ/F15 10.9091 Tf 10.776 0 Td [(\050)]TJ/F22 10.9091 Tf 4.243 0 Td [(M)]TJ/F26 7.9701 Tf 11.772 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051)-696(=)]TJ/F22 10.9091 Tf 27.915 0 Td [(M)]TJ/F26 7.9701 Tf 11.772 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(;)-710(if)]TJ/F44 10.9091 Tf 23.512 0 Td [(trans)]TJ/F15 10.9091 Tf 35.011 0 Td [(=)]TJ/F44 10.9091 Tf 14.859 0 Td [('T','t')]TJ/F15 10.9091 Tf -300.067 -13.549 Td [(then)]TJ/F22 10.9091 Tf 25.696 0 Td [(op)]TJ/F15 10.9091 Tf 10.776 0 Td [(\050)]TJ/F22 10.9091 Tf 4.243 0 Td [(M)]TJ/F26 7.9701 Tf 11.772 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051)-407(=)]TJ/F22 10.9091 Tf 21.612 0 Td [(M)]TJ/F26 7.9701 Tf 11.772 3.959 Td [(\000)]TJ/F23 7.9701 Tf 6.587 0 Td [(T)]TJ/F15 10.9091 Tf 11.088 -3.959 Td [(\050transp)-28(ose)-411(of)]TJ/F22 10.9091 Tf 67.3 0 Td [(M)]TJ/F26 7.9701 Tf 11.773 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.586 0 Td [(1)]TJ/F15 10.9091 Tf 4.733 -3.959 Td [(\051;)-450(if)]TJ/F44 10.9091 Tf 23.027 0 Td [(trans)]TJ/F15 10.9091 Tf 33.119 0 Td [(=)]TJ/F44 10.9091 Tf 12.968 0 Td [('C','c')]TJ/F15 10.9091 Tf 44.574 0 Td [(then)]TJ/F22 10.9091 Tf -318.945 -13.549 Td [(op)]TJ/F15 10.9091 Tf 10.777 0 Td [(\050)]TJ/F22 10.9091 Tf 4.242 0 Td [(M)]TJ/F26 7.9701 Tf 11.773 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.586 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051)-278(=)]TJ/F22 10.9091 Tf 18.788 0 Td [(M)]TJ/F26 7.9701 Tf 11.773 3.959 Td [(\000)]TJ/F23 7.9701 Tf 6.587 0 Td [(C)]TJ/F15 10.9091 Tf 10.733 -3.959 Td [(\050conjugate)-333(transp)-28(ose)-333(of)]TJ/F22 10.9091 Tf 115 0 Td [(M)]TJ/F26 7.9701 Tf 11.773 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.586 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051.)]TJ/F44 10.9091 Tf -270.053 -13.549 Td [(work)]TJ/F18 10.9091 Tf 45.971 0 Td [(typ)51(e)]TJ/F44 10.9091 Tf 19.777 0 Td [(\050)]TJ/F18 10.9091 Tf 5.727 0 Td [(kind)]TJ ET q -1 0 0 1 201.531 252.505 cm +1 0 0 1 208.731 252.505 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 204.876 252.306 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.568 0 Td [(\051,)-525(dimension\050:\051,)-525(optional,)-525(target)]TJ/F15 10.9091 Tf 188.998 0 Td [(.)]TJ -287.157 -13.55 Td [(W)83(orkspace.)-1532(Its)-696(size)-697(shou)1(ld)-696(b)-28(e)-696(at)-696(least)]TJ/F44 10.9091 Tf 219.886 0 Td [(4)-525(*)-525(psb_cd_get_local_)]TJ -219.886 -13.549 Td [(cols\050desc_a\051)]TJ/F15 10.9091 Tf 73.906 0 Td [(\050see)-475(the)-475(PSBLAS)-474(User's)-475(Guide\051.)-869(Note)-475(th)1(at)]TJ/F18 10.9091 Tf 223.719 0 Td [(typ)51(e)]TJ/F15 10.9091 Tf 24.956 0 Td [(and)]TJ/F18 10.9091 Tf -322.581 -13.549 Td [(kind)]TJ +/F18 10.9091 Tf 212.077 252.306 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.567 0 Td [(\051,)-525(dimension\050:\051,)-525(optional,)-525(target)]TJ/F15 10.9091 Tf 188.998 0 Td [(.)]TJ -287.157 -13.55 Td [(W)83(orkspace.)-1532(Its)-696(size)-697(should)-696(b)-27(e)-696(at)-696(least)]TJ/F44 10.9091 Tf 219.886 0 Td [(4)-525(*)-525(psb_cd_get_local_)]TJ -219.886 -13.549 Td [(cols\050desc_a\051)]TJ/F15 10.9091 Tf 73.906 0 Td [(\050see)-475(the)-475(PSBLAS)-474(User's)-475(Guide\051.)-869(Note)-475(that)]TJ/F18 10.9091 Tf 223.719 0 Td [(typ)51(e)]TJ/F15 10.9091 Tf 24.957 0 Td [(and)]TJ/F18 10.9091 Tf -322.582 -13.549 Td [(kind)]TJ ET q -1 0 0 1 176.026 211.857 cm +1 0 0 1 183.227 211.857 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 179.372 211.658 Td [(p)51(ar)51(ameter)]TJ/F15 10.9091 Tf 54.627 0 Td [(m)28(ust)-556(b)-27(e)-556(c)28(hosen)-555(ac)-1(cordi)1(ng)-556(to)-555(the)-556(real/complex,)-611(sin-)]TJ -78.714 -13.549 Td [(gle/double)-333(precision)-334(v)28(ersion)-333(of)-333(MLD2P4)-334(und)1(e)-1(r)-333(use.)]TJ +/F18 10.9091 Tf 186.572 211.658 Td [(p)51(ar)51(ameter)]TJ/F15 10.9091 Tf 54.627 0 Td [(m)28(ust)-556(b)-27(e)-556(c)28(hosen)-556(accordin)1(g)-556(to)-555(the)-556(real/complex,)-611(sin-)]TJ -78.714 -13.549 Td [(gle/double)-333(precision)-334(v)28(ersion)-333(of)-333(MLD2P4)-334(under)-333(use.)]TJ 0 g 0 G 0 g 0 G ET endstream endobj -477 0 obj +483 0 obj << -/Length 1564 +/Length 1577 >> stream 0 g 0 G -0 0 1 rg 0 0 1 RG BT -/F41 10.9091 Tf 93.6 740.002 Td [(6)]TJ -0 g 0 G - [-378(User)-377(Interf)88(a)23(ce)]TJ/F15 10.9091 Tf 401.542 0 Td [(31)]TJ +/F15 10.9091 Tf 86.4 740.002 Td [(32)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G -/F17 11.9552 Tf -401.542 -35.866 Td [(6.5)-1125(Subroutine)-375(mld)]TJ +/F17 11.9552 Tf -203.265 -35.866 Td [(6.5)-1125(Subroutine)-375(mld)]TJ ET q -1 0 0 1 216.622 704.336 cm +1 0 0 1 209.422 704.336 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F17 11.9552 Tf 220.657 704.136 Td [(precfree)]TJ +/F17 11.9552 Tf 213.457 704.136 Td [(precfree)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf 21.897 -20.594 Td [(mld_precfree\050p,info\051)]TJ/F15 10.9091 Tf -148.954 -25.505 Td [(This)-333(routine)-334(deallo)-27(cates)-334(the)-333(preconditioner)-333(data)-334(structur)1(e)-1(.)]TJ/F17 11.9552 Tf 0 -40.647 Td [(Argumen)31(ts)]TJ/F44 10.9091 Tf 22.914 -12.805 Td [(p)-3689(type\050mld_)]TJ/F18 10.9091 Tf 97.516 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(prec_type\051,)-525(intent\050inout\051)]TJ/F15 10.9091 Tf 143.18 0 Td [(.)]TJ -201.099 -13.55 Td [(The)-267(preconditioner)-267(data)-268(stru)1(c)-1(tu)1(re.)-423(Note)-267(that)]TJ/F18 10.9091 Tf 216.639 0 Td [(x)]TJ/F15 10.9091 Tf 9.29 0 Td [(m)28(ust)-267(b)-28(e)-267(c)27(hosen)]TJ -225.929 -13.549 Td [(according)-352(to)-352(the)-352(real/complex,)-357(single/double)-352(precision)-352(v)28(ersion)]TJ 0 -13.549 Td [(of)-333(MLD2P4)-334(un)1(der)-334(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-308(co)-28(de.)-435(If)-308(no)-308(error,)-313(0)-308(is)-308(returned.)-436(See)-308(S)1(e)-1(ction)]TJ +/F44 10.9091 Tf 21.896 -20.594 Td [(mld_precfree\050p,info\051)]TJ/F15 10.9091 Tf -148.953 -25.505 Td [(This)-333(routine)-334(d)1(e)-1(allo)-27(cates)-334(the)-333(preconditioner)-333(data)-334(stru)1(c)-1(tu)1(re.)]TJ/F17 11.9552 Tf 0 -40.647 Td [(Argumen)31(ts)]TJ/F44 10.9091 Tf 22.914 -12.805 Td [(p)-3689(type\050mld_)]TJ/F18 10.9091 Tf 97.516 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(prec_type\051,)-525(intent\050inout\051)]TJ/F15 10.9091 Tf 143.18 0 Td [(.)]TJ -201.099 -13.55 Td [(The)-267(preconditioner)-267(data)-267(s)-1(tr)1(ucture.)-423(Note)-267(that)]TJ/F18 10.9091 Tf 216.639 0 Td [(x)]TJ/F15 10.9091 Tf 9.289 0 Td [(m)28(ust)-267(b)-28(e)-267(c)27(hosen)]TJ -225.928 -13.549 Td [(according)-352(to)-352(the)-352(real/complex,)-357(single/double)-352(pr)1(e)-1(cision)-352(v)28(ersion)]TJ 0 -13.549 Td [(of)-333(MLD2P4)-334(u)1(nder)-334(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-308(co)-28(d)1(e)-1(.)-435(If)-308(no)-308(error,)-313(0)-308(is)-308(returned.)-436(See)-307(Sec)-1(tion)]TJ 0 0 1 rg 0 0 1 RG [-307(7)]TJ 0 g 0 G @@ -5262,49 +5345,49 @@ ET endstream endobj -483 0 obj +489 0 obj << -/Length 2271 +/Length 2260 >> stream 0 g 0 G +0 0 1 rg 0 0 1 RG BT -/F15 10.9091 Tf 86.4 740.002 Td [(32)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F41 10.9091 Tf 93.6 740.002 Td [(6)]TJ +0 g 0 G + [-378(User)-377(Interf)88(a)23(ce)]TJ/F15 10.9091 Tf 401.542 0 Td [(33)]TJ 0 g 0 G -/F17 11.9552 Tf -203.265 -35.866 Td [(6.6)-1125(Subroutine)-375(mld)]TJ +/F17 11.9552 Tf -401.542 -35.866 Td [(6.6)-1125(Subroutine)-375(mld)]TJ ET q -1 0 0 1 209.422 704.336 cm +1 0 0 1 216.622 704.336 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F17 11.9552 Tf 213.457 704.136 Td [(precdescr)]TJ +/F17 11.9552 Tf 220.657 704.136 Td [(precdescr)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf 19.033 -20.594 Td [(mld_precdescr\050p,info\051)]TJ -14.318 -13.549 Td [(mld_precdescr\050p,info,iout\051)]TJ/F15 10.9091 Tf -131.772 -25.505 Td [(This)-364(routine)-364(prin)28(ts)-365(a)-364(description)-364(of)-364(the)-365(preconditioner)-364(to)-364(the)-364(standard)-364(output)-365(or)-364(to)-364(a)]TJ 0 -13.549 Td [(\014le.)-444(It)-334(m)28(ust)-333(b)-28(e)-333(called)-334(after)]TJ/F44 10.9091 Tf 132.212 0 Td [(mld_precbld)]TJ/F15 10.9091 Tf 66.636 0 Td [(has)-333(b)-28(een)-333(called.)]TJ/F17 11.9552 Tf -198.848 -40.648 Td [(Argumen)31(ts)]TJ/F44 10.9091 Tf 22.914 -12.805 Td [(p)-3689(type\050mld_)]TJ/F18 10.9091 Tf 97.516 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(prec_type\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 125.998 0 Td [(.)]TJ -183.917 -13.549 Td [(The)-478(preconditioner)-478(data)-478(structure.)-878(Note)-478(that)]TJ/F18 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Smoother: RAS with overlap 1 and ILU(0) on the local blocks. Aggregation: decoupled smoothed aggregation with threshold $\theta = 0$. @@ -95,7 +96,7 @@ Multilevel &\verb|'ML'| & Multi-level hybrid preconditioner (additive Coarsest-level solver: 4 sweeps of the block-Jacobi solver, with LU or ILU factorization of the blocks - (UMFPACK for the double precision versions and + (MUMPS, or UMFPACK for the double precision versions and SuperLU for the single precision ones, if the packages have been installed; ILU(0), otherwise). \\ \hline diff --git a/docs/src/userinterface.tex b/docs/src/userinterface.tex index 05ef9f50..198ea340 100644 --- a/docs/src/userinterface.tex +++ b/docs/src/userinterface.tex @@ -225,6 +225,7 @@ according to their needs. \bsideways \begin{center} +\small \begin{tabular}{|p{3.5cm}|l|p{3.2cm}|l|p{5cm}|} \hline \verb|what| & \textsc{data type} & \verb|val| & \textsc{default} & @@ -348,11 +349,25 @@ according to their needs. descending degree of the node in the matrix graph. Since aggregation is heuristics, results will be different. \\ \hline +\hline +\end{tabular} +\end{center} +\caption{Parameters defining the aggregation algorithm. +\label{tab:p_aggregation}} +\esideways + +\bsideways +\begin{center} +\begin{tabular}{|p{5cm}|l|p{2.4cm}|p{2.4cm}|p{6cm}|} +\hline +\verb|what| & \textsc{data type} & \verb|val| & \textsc{default} & +\textsc{comments} \\ \hline \verb|mld_aggr_kind_| \break \verb|AGGR_KIND| & \verb|character(len=*)| & \texttt{'SMOOTHED'} \hspace{2.5cm} \texttt{'NONSMOOTHED'} & \texttt{'SMOOTHED'} & Type of aggregation: smoothed, nonsmoothed - (i.e.\ using the tentative prolongator). \\ \hline + (i.e.\ using the tentative prolongator). \\ + \hline \verb|mld_aggr_thresh_| \break \verb|AGGR_THRESH| & \verb|real(|\emph{kind\_parameter}\verb|)| & Any~real~num. $\in [0, 1]$ & 0.05 @@ -390,7 +405,7 @@ according to their needs. \end{tabular} \end{center} \caption{Parameters defining the aggregation algorithm. -\label{tab:p_aggregation}} +\label{tab:p_aggregation_1}} \esideways \bsideways