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

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

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

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

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

Homepage, PVM      9
Homepage, ScaLAPACK      7 9
Homogeneous network      124
Householder matrix      52 105
Householder matrix, complex      52
Householder transformation - blocked form      104
Householder vector      52
HPF, DISTRIBUTE      61—64 72 73 197
HPF, example program      197
HPF, interface LA — GELS      197
HPF, interface LAJPOSV      197
HPF, interface LA_GEMM      197
HPF, interface LA_GESV      197
HPF, interface to ScaLAPACK      11 197
HPF, LA.GELS      197
HPF, LAJPOSV      197
HPF, LA_GEMM      197
HPF, LA_GESV      197
HPF, PROCESSORS      197
ICTXT      (see BLACS 56)
Ill-conditioned      131
Ill-posed      131
Incoherence      124
infinity      123
Info      89
Input error      121
Installation      8
Installation, PxLAMCH      122
Insufficient workspace      151
Invariant subspaces, error bound      140
Inverse iteration      47
Inverting matrix, using factorization      38
Isoefficiency      96
Isogranularity      96
Iterative refinement      39
LAPACK      93
latency      55 97
layout      (see Data distribution 214)
Lcm(Pr,Pc)      xxv
LDLT factorization      38
Leading dimension      (see Local array 214)
Linear equations      36
Linear least squares problem      33 41—43
Linear least squares problem, full rank      42
Linear least squares problem, overdetermined      34 136
Linear least squares problem, rank-deficient      43 50
Linear least squares problem, underdetermined      42
Linear systems, solution of      33 36
LLD_      (see Array descriptor xxv)
LLS      33 34
Load balance      94
local      214
Local input      86
Local leading dimension      214
Local output      86
Local, determining the size of      64 66 73
Local, local array      214
Local, software components      4
local, variables      214 216
Locally blocking send      95
LOCc()      xxv 64 214
LOCr()      xxvi 64 214
LQ factorization      42
LU factorization      37
LU factorization, matrix types      37
LWORK      88
LWORK $\geq$ WORK(l)      88
LWORK query      88
Machine precision      121 122
Matrix factorizations, $LDL^{T}$       38
Matrix factorizations, Cholesky      37 38
Matrix factorizations, complete orthogonal      44
Matrix factorizations, generalized orthogonal      44
Matrix factorizations, generalized QR      44
Matrix factorizations, generalized RQ      46
Matrix factorizations, LQ      34 42
Matrix factorizations, LU      37
Matrix factorizations, orthogonal      41
Matrix factorizations, QL      44
Matrix factorizations, QR      34 41
Matrix factorizations, RQ      44
Matrix inversion      33 38
Matrix of right-hand-side vectors      36
Matrix of solution vectors      36
Matrix partitioning      66
Matrix sign function      11
MB_      (see Array descriptor xxvi)
Memory hierarchy      4 5 54
Message coprocessor      96
Message passing      (see Distributed memory 3)
Message-passing libraries, MIMD      3 6
Message-passing libraries, MPI      7 95
Message-passing libraries, MPL      7 95
Message-passing libraries, NX      7 95
Message-passing libraries, PVM      7 95
Minimum norm least squares solution      34
Minimum norm solution      34 42 44 50
MPI      3 6 7 56 95
MPI, communicator      56
MPI, homepage      9
MPI, reference implementation (MPICH)      13
MPICH      13
MPL      7 95
Multiple instruction multiple data (MIMD)      3 6
MYCOL      xxvi 25 215
MYROW      xxvi 25 215
M_, see array descriptor      xxvi
Naming scheme      30
Naming scheme, auxiliary      32
Naming scheme, driver and computational      31
NaN      123
NBRHS      xxvi
NEL      (see Array descriptor xxvi)
NETLIB      7
Netlib, homepage      7
Netlib, mirror repositories      7
Networks of workstations      91
Nonrepeatability      124
Nonsymmetric eigenproblem      48
Norm, Frobenius norm      126 129
Norm, infinity norm      126
Norm, matrix      126 127
Norm, one norm      126
Norm, two norm      126 129
Norm, vector      126
Not-a-number      123
Notation, table of      xxv
NoWs      91 93
NPCOL, see $P_{c}$       xxvi
NPROCS, see P      xxvi
NPROW, see $P_{r}$       xxvi
NRHS      xxvi
Numerical error, sources of      121
Numerical error, sources of input error      121
Numerical error, sources of roundoff error      121 122
NX      7 95
N_      (see Array descriptor xxvi)
Optimal block size, determination of      118
Orthogonal (unitary) factorizations      41
Orthogonal (unitary) transformation      43 108
Orthogonal factorization, generalized      44
Orthogonal matrix      41
Out-of-core linear solvers      11
Over deter mined system      33 34 138
Overflow      121—123 127 135 138 140 143
P      xxvi 55 215
P.ARPACK      11
Parallel efficiency      95 97
Parallelizing BLAS-based programs      (see Appendix B 176)
Parallelizing LAPACK-based programs      (see Appendix B 176)

PARPRE      11
Partial pivoting      37
Partitioning unit      (see Block size 104 213)
PBLAS      94 215
PBLAS, converting from the BLAS to      (see Appendix B 176)
PBLAS, error handling      154
PBLAS, PDGEMM      101
PBLAS, PDGEMV      101
PBLAS, peak performance      93
PBLAS, PSGEMM      101
PBLAS, PSGEMV      101
PCDBSV      33 135 160 221
PCDBTRF      38 40 74 78 160 222
PCDBTRS      38 40 76 160 222
PCDTSV      33 135 160 223
PCDTTRF      38 40 77 78 160 225
PCDTTRS      38 40 78 160 226
PCGBSV      33 134 160 227
PCGBTRF      38 40 74 78 160 228
PCGBTRS      38 40 76 160 229
PCGEBRD      50 160 161 230
PCGECON      38 40 135 160 231
PCGEEQU      39 40 160 166 232
PCGEHRD      49 160 161 233
PCGELQF      42 45 50 160 161 167 168 234
PCGELS      34 136 138 160 235
PCGEMR      2
PCGEQLF      44 45 160 161 167 168 236
PCGEQPF      43 45 160 237
PCGEQRF      41 43 45 50 161 162 167 168 238
PCGERFS      38 40 136 161 239
PCGERQF      44 45 161 162 168 240
PCGESV      33 161 241
PCGESVD      50 138 141 144
PCGESVX      33 125 131 136 161 244
PCGETRF      38 40 160 161 247
PCGETRI      38 40 161 248
PCGETRS      38 40 161 248
PCGGQRF      45 161 249
PCGGRQF      46 161 251
PCHEEVX      35 121 125 138 140 163 287
PCHEGST      51 163 291
PCHEGVX      36 121 125 132 144 146 163 292
PCHETRD      47 48 162 163 295
PCHETRF      38
PCHETRS      38
PCPBSV      33 134 162 268
PCPBTRF      38 40 75 78 162 269
PCPBTRS      38 40 76 162 270
PCPOCON      38 40 134 135 162 271
PCPOEQU      39 40 162 166 272
PCPORFS      38 40 136 162 273
PCPOSV      33 134 162 274
PCPOSVX      33 125 136 162 275
PCPOTRF      38 40 162 163 168 278
PCPOTRI      38 40 162 278
PCPOTRS      38 40 162 279
PCPTSV      33 134 163 280
PCPTTRF      40 77 163 281
PCPTTRS      40 78 163 282
PCSTEIN      47 48 163 284
PCTRCON      38 40 135 138 163 296
PCTRMR      2
PCTRRFS      38 40 136 163 298
PCTRTRI      38 40 163 299
PCTRTRS      38 40 42 163 300
PCTZRZF      43 45 162 163 301
PCUNGLQ      42 45 161 253
PCUNGQL      45 161 254
PCUNGQR      41 43 45 161 255
PCUNGRQ      45 161 256
PCUNMBR      50 161 257
PCUNMHR      49 161 258
PCUNMLQ      42 45 161 260
PCUNMQL      45 161 261
PCUNMQR      41—43 45 162 262
PCUNMRQ      45 162 264
PCUNMRZ      44 45 162 265
PCUNMTR      47 48 162 266
PDDBSV      33 135 221
PDDBTRF      38 40 74 78 222
PDDBTRS      38 40 76 222
PDDTSV      33 135 223
PDDTTRF      38 40 77 78 225
PDDTTRS      38 40 78 226
PDGBSV      33 134 227
PDGBTRF      38 40 74 78 228
PDGBTRS      38 40 76 229
PDGEBRD      50 108 230
PDGECON      38 40 135 231
PDGEEQU      39 40 232
PDGEHRD      49 108 233
PDGELQF      42 45 50 234
PDGELS      34 104 136 138 235
PDGEMR      2
PDGEQLF      44 45 236
PDGEQPF      43 45 237
PDGEQRF      41 43 45 50 238
PDGERFS      38 40 136 239
PDGERQF      44 45 240
PDGESV      33 104 133 241
PDGESVD      35 50 109 125 138 141 144 242
PDGESVX      33 125 131 134 136 244
PDGETRF      38 40 247
PDGETRI      38 40 248
PDGETRS      38 40 248
PDGGQRF      45 249
PDGGRQF      46 251
PDLAHQR      49 109 252 253
PDLAMCH      121 122 166
PDORGLQ      42 45 253
PDORGQL      45 254
PDORGQR      41 43 45 255
PDORGRQ      45 256
PDORMBR      50 257
PDORMHR      49 258
PDORMLQ      42 45 260
PDORMQL      45 261
PDORMQR      41—43 45 262
PDORMRQ      45 264
PDORMRZ      44 45 265
PDORMTR      47 48 266
PDPBSV      33 134 268
PDPBTRF      38 40 75 78 269
PDPBTRS      38 40 76 270
PDPOCON      38 40 134 135 271
PDPOEQU      39 40 272
PDPORFS      38 40 136 273
PDPOSV      33 104 134 274
PDPOSVX      33 125 136 275
PDPOTRF      38 40 278
PDPOTRI      38 40 278
PDPOTRS      38 40 279
PDPTSV      33 134 280
PDPTTRF      40 77 281
PDPTTRS      40 78 282
PDSTEBZ      47 48 141 283
PDSTEIN      47 48 284
PDSYEV      35 108 125 138 139 286
PDSYEVX      35 108 115 121 125 138 140 287
PDSYGST      51 291
PDSYGVX      36 121 125 132 144 146 292
PDSYR      2
PDSYTRD      47 48 108 295
PDTRCON      38 40 135 138 296
PDTRMR      2
PDTRRFS      38 40 136 298
PDTRTRI      38 40 299
PDTRTRS      38 40 42 300
PDTZRZF      43 45 301

1 2 3

О проекте