symmetric matrix 389 symmetric packed matrix 381 triangular band matrix 397 triangular matrix 408 triangular matrix and n-vector 323 triangular packed matrix 403

N

naming conventions Extended BLAS 207–209 Sparse BLAS 423–424 VECLIB subroutines 24–25

natural reordering 934 non parallel processing

controlling at link time 643 nonsymmetric matrix

sample program 888 norm 36, 185, 209

defined 25

general band matrix 657 general full matrix 661 general tridiagonal matrix 663 Hermitian band matrix 666 Hermitian full matrix 680 Hermitian packed matrix 671 Hermitian tridiagonal matrix 676 symmetric band matrix 666 symmetric full matrix 680 symmetric packed matrix 671 symmetric tridiagonal matrix 676

numeric factorization 891, 896

O

one-call usage

sparse eigenvalue package 1021 sparse linear equation solution package 903, 923

online documentation 30, 650

operator arguments 25–26, 36, 209, 437 optimization 17

outer rotation 26

output control 931, 1056

P

packed Hermitian matrix compute norm 671

packed symmetric matrix compute norm 671

parallel processing 18, 644 controlling at link time 18, 643 controlling at runtime 18, 643 description 643

determine extent of 607, 608

using compiler directives 20, 645 parallelized subprograms 5, 630, 723, 1103 parameters

machine-dependent 655 pdgsrfs 766 pdgsrfs_ABXglobal 769 pdgssvx 772 pdgssvx_ABglobal 772 pdgstrf 785, 787 pdgstrs_Bglobal 789 permutation matrix 37 permute vector 187 plane rotation 158 precision 23

print statistics 940, 1058 problem state

restore from savefile 1064 save to savefile 1065

pthread library 22, 647 pzgsrfs 766 pzgsrfs_ABXglobal 769 pzgssvx 772 pzgssvx_ABglobal 772 pzgstrf 785, 787 pzgstrs_Bglobal 789

R

ramp, generate linear 112 RAN 610

random-number generator 610, 612, 615, 617 rank-1 update 237, 254, 275, 344, 350,

375, 384, 392

rank-2 update 259, 279, 346, 352, 368, 386, 394

rank-2k update 284 rank-k update 289 RANV 612 reciprocal scale 190 reordering

1-way Dissection 934 Constrained Minimum Degree 934 matrix 937, 1057

METIS 934

Multiple Minimum Degree 934 natural 934

Reverse Curhill McKee 934 select scheme 933

restore problem state from savefile 1064 return

diagonal elements of matrix in its current form 941

eigenvalue results 1059, 1061 eigenvector results 1059

Reverse Curhill McKee reordering 934 right hand side 26

right-sided vector clip 77

1117