LAPACK Users' Guide

Index by: Keyword

A

absolute error, 80, 81
absolute gap, 104, 113, 114, 117
accuracy, 77, 90, 114
high, 87, 104, 105, 113, 114
angle between vectors and subspaces, 82-84, 94, 103, 106, 111, 115, 118, 119, 130
arguments
ABNRM, 109, 124
arrays, 136
BALANC, 109, 124
BBNRM, 124
BERR, 91
description conventions, 135
DIAG, 142
dimensions, 136
FERR, 89, 91
ILO and IHI, 43, 109, 124
INFO, 137, 152
LDA, 136, 152
LSCALE, 124
LWORK, 137
options, 136
order of, 134
RANK, 94
RCOND, 82
RCONDE. 107, 110, 121, 126
RCONDV, 107, 111, 122, 127
RSCALE. 124
SCALE, 109
UPLO, 136
work space, 137
ARPACK, xvi, xx
auxiliary routines, 11
Auxiliary Routines, index of: see Appendix B, 169
avoiding poor performance, 154

B

backward error, 85, 86, 89-91, 93, 105
backward stability, 85, 107, 112, 118, 121, 131
componentwise, 87, 114
normwise, 86
balancing and conditioning, eigenproblems, 50
balancing of eigenproblems, 109, 124
basis, orthonormal, 19
bidiagonal form, 45, 64, 144
BLAS, 4, 55, 154
Level 1, 56
Level 2, 56, 58
Level 3, 56, 58
Level 3, fast, 77, 132
quick reference guide: see Appendix C, 180
block algorithm, 56
block size, 148
determination of, 138
from ILAENV, 138
tuning ILAENV, 138
block width, 58
blocked algorithms, performance, 59
bug reports, 7
checklist, 150
mailing alias, 150

C

cache, 54, 55
CAPSS, xvi, xx
Cholesky factorization
blocked form, 58
split, 47
chordal distance, 118, 119
CLAPACK, 8
cluster
eigenvalues, 105
error bound, 107
generalized eigenvalues
error bound, 122
singular values, 113

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