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Blackford L.S., Choi J., Geary A. — ScaLAPACK User's Guide
Blackford L.S., Choi J., Geary A. — ScaLAPACK User's Guide



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Название: ScaLAPACK User's Guide

Авторы: Blackford L.S., Choi J., Geary A.

Аннотация:

ScaLAPACK is an acronym for Scalable Linear Algebra Package or Scalable LAPACK. It is a library of high-performance linear algebra routines for distributed memory message-passing MIMD computers and networks of workstations supporting parallel virtual machine (PVM) and/or message passing interface (MPI). It is a continuation of the LAPACK project, which designed and produced analogous software for workstations, vector supercomputers, and shared memory parallel computers. Both libraries contain routines for solving systems of linear equations, least squares problems, and eigenvalue problems. The goals of both projects are efficiency, scalability, reliability, portability, flexibility, and ease of use. Each Users' Guide includes a CD-ROM containing the HTML version of the ScaLAPACK Users' Guide, the source code for the package, testing and timing programs, prebuilt versions of the library for a number of computers, example programs, and the full set of LAPACK Working Notes


Язык: en

Рубрика: Руководства по программному обеспечению/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 325

Добавлена в каталог: 11.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$C_{f}$      xxv 93 97
$C_{m}$      xxv 94 97
$C_{v}$      xxv 94 97
$P_{c}$      xxvi 215
$P_{r}$      xxvi 215
$t_{f}$      xxvi 96 97
$t_{m}$      xxvi 97 100
$T_{N/2}$      xxvi
$T_{N}$      xxvi
$T_{seq()}$      xxvi 95 97
$t_{v}$      xxvi 96 97 100
Absolute error      126 127
Absolute gap      140 143 146
Accuracy      120 135
Accuracy, high      133 140 141 143
Active Messages      98
Algorithmic, coherence      124
Algorithmic, reliability      3 124 125
Algorithmic, repeatability      124
Algorithms, block-partitioned      93 94
Alignment restrictions      89
AM — II, see Active Messages      98
Angle between vectors and subspaces      128—130 138 141 144 147
Arguments, BERR      136
Arguments, description conventions      67 81—83
Arguments, descriptor      26 57 67 81
Arguments, DIAG      69 87
Arguments, dimensions      88
Arguments, FERR      134 136
Arguments, global      214
Arguments, global column index      22 67 81
Arguments, global input      86
Arguments, global output      86
Arguments, global row index      22 67 81
Arguments, IA and JA      22 67
Arguments, INFO      89 153
Arguments, local      214
Arguments, local input      86
Arguments, local output      86
Arguments, LWORK      88
Arguments, options      86
Arguments, order of      86
Arguments, RCOND      127
Arguments, SIDE      86
Arguments, TRANS      87
Arguments, UPLO      87
Arguments, work space      88
ARPACK      11
Array argument descriptions, block cyclic arrays      67
Array argument descriptions, block-column and block-row arrays      79
Array descriptor      26 57 67 81 213
Array descriptor, block      78 84
Array descriptor, block cyclic      65
Array descriptor, CTXT      xxv
Array descriptor, definition of      57
Array descriptor, DLEN_      57
Array descriptor, DTYPE_      xxv 58
Array descriptor, example      26
Array descriptor, LLD_      66
Array descriptor, MB_ and NB_      63 66
Array descriptor, M_ and N_      63 66
Array descriptor, out-of-core      84
Array descriptor, RSRC. and CSRC      22
Auxiliary routines      4 29
Auxiliary routines, index of      (see Appendix A)
Avoiding poor performance      157
Backward error      131 135 136 138 141
Backward stability      131 142 147
Backward stability, componentwise      132
Backward stability, normwise      131
Band matrix, distribution of      74
Bandwidth      97
Berkeley NOW      98
Bidiagonal form      50 52 108
Bidiagonal matrix, distribution of      77
BLACS      95 213
BLACS, BLACS — G RID INFO      25
BLACS, BLACS — GRIDEXIT      27 57
BLACS, BLACS — GRIDINIT      55
BLACS, BLACS — SET      125
BLACS, BLACS.ABORT      89 153
BLACS, BLACS.BARRIER      151
BLACS, BLACS.EXIT      57
BLACS, C interface      206
BLACS, context      56
BLACS, context handle      56
BLACS, efficiency      7 95
BLACS, Fortran      77
BLACS, interface      206
BLACS, prebuilt libraries, availability of      7
BLAS      6 93 157 213
BLAS, level 1      93
BLAS, Level 2      93
BLAS, Level 3      93
Block cyclic distribution      58 63
Block size      104 213
Block size, size of      92 113
Block-column distribution      70 72
Block-partitioned algorithms      4 55 93 94
Block-row distribution      71—73
Blocking factor, see block size      213
bug reports      10
Bug reports, checklist      149
Bug reports, mailing alias      149
CAPSS      11
Checklist, high performance      91
Chordal distance      147
Cluster, eigenvalues      140
Cluster, singular values      143
Clusters of workstations      91
Coefficient band matrix      74
Coefficient matrix      36 74 76 77 153
Coefficient matrix, distribution of      69 78
Coefficient tridiagonal matrix      76 77
Coherence      124 125
Column pivoting (QR)      43
Column-major order      73
Commercial use      8
Communication bandwidth      97
Communication deadlock      124
Communication latency      97
Communicator, MPI      6
Complete orthogonal factorization      44
Computational routines      4 29 36
Computational Routines, index of      (see Appendix A)
Computers      91
Condensed form, reduction to      108
Condition number      127 131 133—137 145 146 148
Condition number, estimate      132 135
Context handle      56
Context, BLACS      6
Coprocessor      96
Cows      91 93
CSRC_      (see Array descriptor xxv)
CTXT_      (see Array descriptor xxv)
Data distribution      214
Data distribution, block      70
Data distribution, block cyclic      58 94
Data distribution, block-column      70 72
Data distribution, block-row      71—73
Data distribution, general band matrix      70 79
Data distribution, general tridiagonal matrix      70 79
Data distribution, symmetric band matrix      79
Data distribution, symmetric positive definite band matrix      70
Data distribution, symmetric positive definite tridiagonal matrix      70
Data distribution, symmetric tridiagonal matrix      79
DDISNA      140 143
Deadlock      124
Debug level BLACS      151
Debugging hints, application      151
Debugging hints, installation      150
Debugging, alignment restrictions      89
Debugging, errata, scalapack      150 152
Debugging, errata.blacs      150 152
Debugging, synchronization points      151
Debugging, TOOLS      151
Debugging, workspace requirements      151
Decomposition      (see Data distribution)
Descriptor      26 57 67 81
DESC_      (see Array descriptor xxv)
Determining the size of local arrays      64 66 73
Diagonally dominant-like      31 37 38
Distributed across process columns      69
Distributed across process rows      69
Distributed matrix      66
Distributed matrix, partitioning of      66
Distributed memory      xix xxi 3 4 6 55
Distributed memory computers      91
Distributed memory standards      5
Distributed vector      69
Distribution, see data distribution      214
DLEN_      (see Array descriptor xxv)
Documentation      9
Documentation, installation guide      8 149
Documentation, structure      85
Downloading instructions      7
Driver routine, generalized symmetric definite eigenvalue problem      36
Driver routine, linear equations      32
Driver routine, linear least squares      34
Driver routine, SVD      35
Driver routine, symmetric eigenvalue problem      35
Driver routines      4 29 32
Driver routines, expert      32 35
Driver routines, index of      (see Appendix A)
Driver routines, simple      32 35
DSTEQR      2 47 48
DTYPE_      see Array descriptor xxv)
E()      xxv 95 97
Effective rank      43
Efficiency      99
Efficiency, BLACS      6
Efficiency, BLAS      6
Efficiency, block-partitioned algorithms      6
Efficiency, transportable      93
Eigendecomposition, blocked form      108
Eigendecomposition, symmetric      138
Eigenvalue      34 47—49 138
Eigenvalue problem, generalized symmetric      51
Eigenvalue problem, generalized symmetric/Hermitian      36
Eigenvalue problem, symmetric/Hermitian      34
Eigenvalue problems, large scale      11
Eigenvalue problems, large sparse      11
Eigenvalue problems, nonsymmetric      48
Eigenvalue problems, symmetric/Hermitian      47
Eigenvector      34 47 138
Elementary Householder matrix      (see Householder)
Elementary Householder matrix, matrix      41 42 44 50 52
Elementary reflector      (see Householder matrix)
Equilibration      32 39
Errata, BLACS      10
Errata, ScaLAPACK and PBLAS      10
Error bound      138 140 144 145 147
Error bound, GSEP      36
Error bound, left      48
Error bound, right      48
Error bound, SEP      47
Error bounds, generalized symmetric definite eigenproblem      144 146
Error bounds, linear equations      133 135
Error bounds, linear least squares      136 138
Error bounds, singular value decomposition      141 142
Error bounds, symmetric eigenproblem      138 139
Error handler, BLACS      155
Error handler, PBLAS      154
Error handler, PXERBLA      89 153
Error, absolute      126 127
Error, analysis      131
Error, backward      131 135 136 138 141
Error, matrix      126 127
Error, measurement of      126
Error, relative      121 122 126 127 129 131 135
Error, scalar      126
Error, subspace      126 127
Error, vector      126
Example program, how to execute      13
Example program, HPF      197
Example program, output, using MPICH      23
Example program, output, using PVM      24
Example program, ScaLAPACK (PDGESV)      19 181
Expert driver      (see Driver routines expert)
eXternal Data Representation (XDR)      125
Factorizations      (see Matrix factorizations)
failures      152
Failures, common causes      152
Failures, error handling      89
Failures, FDDI      92
Failures, INFO      89
Fiber distributed data interface (FDDI)      92
Floating-point arithmetic      121
Floating-point arithmetic, $\pm\infty$      121
Floating-point arithmetic, gradual underflow      123
Floating-point arithmetic, IEEE standard      120— 125
Floating-point arithmetic, infinity      123
Floating-point arithmetic, NaN      123
Floating-point arithmetic, Not-a-Number      123
Floating-point arithmetic, overflow      121—123 127 135 138 140 143
Floating-point arithmetic, relative machine precision      121 122
Floating-point arithmetic, roundoff error      122
Floating-point arithmetic, subnormal numbers      123
Floating-point arithmetic, underflow      121—123
Flop counts, for ScaLAPACK drivers      103
Fmm      5 xxv 97 100
Forward error      39
Forward stability      132
Functionality      3
Gang scheduler      91
Gap      140 143 146
Generalized (GRQ)      46
Generalized eigenproblem, symmetric definite      51
Generalized orthogonal factorization      44
global      214
Global column index (JA)      xxv 22 67
Global input      86
Global output      86
Global row index (IA)      xxv 22 67
Global, matrix      214
Global, software components      4
Global, variables      214 216
Globally blocking receive      95
Glossary      213
GQR      44—46
Granularity, of computation      4 6 29 32
grid      (see Process grid 215)
GRQ      46
GSEP      36
Guidelines, for high performance      91
Hermitian eigenvalue problem      (see Eigenvalue)
Hermitian eigenvalue problem, problems      34
Hessenberg form      108
Hessenberg form, reduction to      108
Hessenberg form, upper      49
Heterogeneity      124
Heterogeneous environment      6
Heterogeneous network      125
Heterogeneous software issues, algorithmic integrity      140 143
Heterogeneous software issues, machine parameters (PxLAMCH)      121
Hierarchical memory      4 5 54
Homepage, BLACS      25
Homepage, MPI      9
Homepage, netlib      7
Homepage, PBLAS      202
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