Blackford L.S., Choi J., Geary A. — ScaLAPACK User's Guide :: Электронная библиотека попечительского совета мехмата МГУ

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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:

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

Предметный указатель

Performance      6 91
Performance guidelines      91
Performance, diagnosing poor      115
Performance, evaluation of      113
Performance, improvement guidelines      116
Performance, PDLAHQR      109
Performance, PSGELS/PDGELS      104
Performance, PSGEMM/PDGEMM      101
Performance, PSGEMV/PDGEMV      101
Performance, PSGESV/PDGESV      104
Performance, PSGESVD/PDGESVD      109
Performance, PSPOSV/PDPOS V      104
Performance, PSSYEV/PDSYEV      108
Performance, PSSYEVX/PDSYEVX      108
Performance, recommendations      157
performance, tuning      117
PETSc      11
PIGEMR      2
PITRMR      2
Pivoting, column (QR)      43
Pivoting, partial      37
poor performance      115
PoPCs      93
Portability      3 6 93 122
Prebuilt libraries, blacs      7
Prebuilt libraries, scalapack      7
Process column      215
Process grid      55 215
Process grid, $P_{c}$       216
Process grid, $P_{r}$       216
Process grid, initialization      25 56
Process grid, mapping (column-major)      55 56
Process grid, mapping (row-major)      55 56
Process grid, mapping (user-defined)      56
Process grid, obtaining BLACS context      25
Process grid, shape      92 113
Process mesh      (see Process grid 55)
Process row      216
Process, column coordinate (MYCOL)      25
Process, row coordinate (MYROW)      25
Processor      215
Prototype codes      11
Prototype codes, HPF interface to ScaLAPACK      11
Prototype codes, matrix sign function      11 109
Prototype codes, out-of-core linear solvers      11
Prototype codes, Super LU      11
PSDBSV      33 135 160 221
PSDBTRF      38 40 74 78 160 222
PSDBTRS      38 40 76 160 222
PSDTSV      33 135 160 223
PSDTTRF      38 40 77 78 160 225
PSDTTRS      38 40 78 160 226
PSGBSV      33 134 160 227
PSGBTRF      38 40 74 78 160 228
PSGBTRS      38 40 76 160 229
PSGEBRD      50 108 160 161 230
PSGECON      38 40 135 160 231
PSGEEQU      39 40 160 166 232
PSGEHRD      49 108 160 161 233
PSGELQF      42 45 50 160 161 167 168 234
PSGELS      34 104 136 138 160 235
PSGEMR      2
PSGEQLF      44 45 160 161 167 168 236
PSGEQPF      43 45 160 237
PSGEQRF      41 43 45 50 161 162 167 168 238
PSGERFS      38 40 136 161 239
PSGERQF      44 45 161 162 168 240
PSGESV      33 104 133 153 161 241
PSGESVD      35 50 109 125 138 141 144 161 242
PSGESVX      33 125 131 134 136 153 154 161 244
PSGETRF      38 40 160 161 247
PSGETRI      38 40 161 248
PSGETRS      38 40 161 248
PSGGQRF      45 161 249
PSGGRQF      46 161 251
PSLAHQR      49 109 252 253
PSLAMCH      121 122 166
PSORGLQ      42 45 161 253
PSORGQL      45 161 254
PSORGQR      41 43 45 161 255
PSORGRQ      45 161 256
PSORMBR      50 161 257
PSORMHR      49 161 258
PSORMLQ      42 45 161 260
PSORMQL      45 161 261
PSORMQR      41—43 45 162 262
PSORMRQ      45 162 264
PSORMRZ      44 45 162 265
PSORMTR      47 48 162 266
PSPBSV      33 134 162 268
PSPBTRF      38 40 75 78 162 269
PSPBTRS      38 40 76 162 270
PSPOCON      38 40 134 135 162 271
PSPOEQU      39 40 162 166 272
PSPORFS      38 40 136 162 273
PSPOSV      33 104 134 162 274
PSPOSVX      33 125 136 162 275
PSPOTRF      38 40 162 163 168 278
PSPOTRI      38 40 162 278
PSPOTRS      38 40 162 279
PSPTSV      33 134 163 280
PSPTTRF      40 77 163 281
PSPTTRS      40 78 163 282
PSSTEBZ      47 48 141 163 283
PSSTEIN      47 48 163 284
PSSYEV      35 108 125 138 139 163 286
PSSYEVX      35 108 115 121 125 138 140 163 287
PSSYGST      51 163 291
PSSYGVX      36 121 125 132 144 146 163 292
PSSYR      2
PSSYTRD      47 48 108 162 163 295
PSTRCON      38 40 135 138 163 296
PSTRMR      2
PSTRRFS      38 40 136 163 298
PSTRTRI      38 40 163 299
PSTRTRS      38 40 42 163 300
PSTZRZF      43 45 162 163 301
PVM      3 6 7 95
PVM, homepage      9
PXERBLA      89 153 168
PZDBSV      33 135 221
PZDBTRF      38 40 74 78 222
PZDBTRS      38 40 76 222
PZDTSV      33 135 223
PZDTTRF      38 40 77 78 225
PZDTTRS      38 40 78 226
PZGBSV      33 134 227
PZGBTRF      38 40 74 78 228
PZGBTRS      38 40 76 229
PZGEBRD      50 230
PZGECON      38 40 135 231
PZGEEQU      39 40 232
PZGEHRD      49 233
PZGELQF      42 45 50 234
PZGELS      34 136 138 235
PZGEMR      2
PZGEQLF      44 45 236
PZGEQPF      43 45 237
PZGEQRF      41 43 45 50 238
PZGERFS      38 40 136 239
PZGERQF      44 45 240
PZGESV      33 241
PZGESVD      50 138 141 144
PZGESVX      33 125 131 136 244
PZGETRF      38 40 247

PZGETRI      38 40 248
PZGETRS      38 40 248
PZGGQRF      45 249
PZGGRQF      46 251
PZHEEVX      35 121 125 138 140 287
PZHEGST      51 291
PZHEGVX      36 121 125 132 144 146 292
PZHETRD      47 48 295
PZHETRF      38
PZHETRS      38
PZPBSV      33 134 268
PZPBTRF      38 40 75 78 269
PZPBTRS      38 40 76 270
PZPOCON      38 40 134 135 271
PZPOEQU      39 40 272
PZPORFS      38 40 136 273
PZPOSV      33 134 274
PZPOSVX      33 125 136 275
PZPOTRF      38 40 278
PZPOTRI      38 40 278
PZPOTRS      38 40 279
PZPTSV      33 134 280
PZPTTRF      40 77 281
PZPTTRS      40 78 282
PZSTEIN      47 48 284
PZTRCON      38 40 135 138 296
PZTRMR      2
PZTRRFS      38 40 136 298
PZTRTRI      38 40 299
PZTRTRS      38 40 42 300
PZTZRZF      43 45 301
PZUNGLQ      42 45 253
PZUNGQL      45 254
PZUNGQR      41 43 45 255
PZUNGRQ      45 256
PZUNMBR      50 257
PZUNMHR      49 258
PZUNMLQ      42 45 260
PZUNMQL      45 261
PZUNMQR      41—43 45 262
PZUNMRQ      45 264
PZUNMRZ      44 45 265
PZUNMTR      47 48 266
QL algorithm, implicit      47
QL factorization      44
QR algorithm, implicit      47
QR factorization      41
QR factorization, blocked form      104
QR factorization, generalized (GQR)      44
QR factorization, with pivoting      43
Query      88
Rank      43
Redistribution routines, PxGEMR2D      170
Redistribution routines, PxTRMR2D      170
Reduction, bidiagonal      50
Reduction, standard form      51
Reduction, tridiagonal      47
Reduction, upper Hessenberg      49
Relative error      121 122 126 127 129 131 135
Relative machine precision      121
Reliability      (see Test suites 9 149)
Repeatability      124 125
Repeatability, enforcement of (BLACS — SET)      125
Replicated across process columns      69
Replicated across process rows      69
Replicated and distributed      69
Replicated vector      90
Reporting bugs, see bug reports      10 149
Right-hand-side matrix      36
Roundoff error      121 122
RQ factorization      44
RSRC_      (see Array descriptor xxvi)
rule of thumb      91
Scalability      3 54 94 95
ScaLAPACK, commercial use of      8
ScaLAPACK, prebuilt libraries, availability of      7
Scaling      39
Schur factorization      48
Schur form      49
Schur vectors      48
Scope      57 216
Scope in communication      216
Scope of a variable      216
Scope, groupings of processes      57
Scope, within a process grid      216
Scoped operation      57
SDISNA      140 143
SEP      34 47
Simple driver      (see Driver routines simple 32 35)
Single Program Multiple Data (SPMD)      3
Singular value      49
Singular value decomposition (SVD)      35 49
Singular value, error bound      142 143
Singular vector, error bound      142 143
Singular vectors, left      35 49
Singular vectors, right      35 49
Software hierarchy      4
Software standards      3
Software standards, distributed memory      5
Solution matrix      36
Spectral factorization      34
SPMD      3
SSTEQR      2 47 48
Stability      41 120
Stability, backward      131 132 142 147
Stability, forward      132
Standard form      51
Storage scheme, general tridiagonal      84
Storage scheme, Hermitian      69
Storage scheme, orthogonal or unitary matrices      52
Submatrix access      67
Subspaces, angle between      128—130 138 144 147
Suggestions for reading      xxiii
SuperLU      (see Prototype codes 11)
Support      10
SVD      35
Sylvester equation      132
symmetric      69
Symmetric eigenproblem      47
Symmetric tridiagonal      84
Symmetric tridiagonal, triangular      69
T()      xxvi 95 97
Terminology      xxv
test suites      9 149
thread of execution      (see Process 215)
Throughput      (see Bandwidth 97)
TOOLS, DESCINIT      26
TOOLS, NUMROC      xxvi
TOOLS, PxLAPRNT      151
TOOLS, SLJNIT      26
Transportable efficiency      93
Tridiagonal form      47 52 108 141
Tridiagonal matrix, distribution of      76
troubleshooting      149
tuning      117
Underdetermined system      34 42
Underflow      121—123
Unitary matrix      41
Upper Hessenberg form      49
Utility routines      151
Workspace query      88
World Wide Web      9
Wrong results      154
WWW      9
XDR      125

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