Section 3: library functions
zlarfx.f – Synopsis Functions/Subroutines subroutine zlarfx (SIDE, M, N, V, TAU, C, LDC, WORK) ZLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10. Function/Subroutine Documentation subroutine zlarfx (characterSIDE, integerM, integerN, complex*16, dimension( * )V, complex*16TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( *…
zlarft.f – Synopsis Functions/Subroutines subroutine zlarft (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) ZLARFT forms the triangular factor T of a block reflector H = I – vtvH Function/Subroutine Documentation subroutine zlarft (characterDIRECT, characterSTOREV, integerN, integerK, complex*16, dimension( ldv, * )V, integerLDV, complex*16, dimension( * )TAU, complex*16, dimension( ldt, * )T, integerLDT) ZLARFT…
zlarft.f – Synopsis Functions/Subroutines subroutine zlarft (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) ZLARFT forms the triangular factor T of a block reflector H = I – vtvH Function/Subroutine Documentation subroutine zlarft (characterDIRECT, characterSTOREV, integerN, integerK, complex*16, dimension( ldv, * )V, integerLDV, complex*16, dimension( * )TAU, complex*16, dimension( ldt, * )T, integerLDT) ZLARFT…
zlarfgp.f – Synopsis Functions/Subroutines subroutine zlarfgp (N, ALPHA, X, INCX, TAU) ZLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Function/Subroutine Documentation subroutine zlarfgp (integerN, complex*16ALPHA, complex*16, dimension( * )X, integerINCX, complex*16TAU) ZLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Purpose: ZLARFGP generates a complex elementary reflector H of order n, such…
zlarfgp.f – Synopsis Functions/Subroutines subroutine zlarfgp (N, ALPHA, X, INCX, TAU) ZLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Function/Subroutine Documentation subroutine zlarfgp (integerN, complex*16ALPHA, complex*16, dimension( * )X, integerINCX, complex*16TAU) ZLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Purpose: ZLARFGP generates a complex elementary reflector H of order n, such…
zlarfg.f – Synopsis Functions/Subroutines subroutine zlarfg (N, ALPHA, X, INCX, TAU) ZLARFG generates an elementary reflector (Householder matrix). Function/Subroutine Documentation subroutine zlarfg (integerN, complex*16ALPHA, complex*16, dimension( * )X, integerINCX, complex*16TAU) ZLARFG generates an elementary reflector (Householder matrix). Purpose: ZLARFG generates a complex elementary reflector H of order n, such that H**H * ( alpha )…
zlarfg.f – Synopsis Functions/Subroutines subroutine zlarfg (N, ALPHA, X, INCX, TAU) ZLARFG generates an elementary reflector (Householder matrix). Function/Subroutine Documentation subroutine zlarfg (integerN, complex*16ALPHA, complex*16, dimension( * )X, integerINCX, complex*16TAU) ZLARFG generates an elementary reflector (Householder matrix). Purpose: ZLARFG generates a complex elementary reflector H of order n, such that H**H * ( alpha )…
zlarfb.f – Synopsis Functions/Subroutines subroutine zlarfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK) ZLARFB applies a block reflector or its conjugate-transpose to a general rectangular matrix. Function/Subroutine Documentation subroutine zlarfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, complex*16, dimension( ldv, * )V, integerLDV, complex*16, dimension( ldt, *…
zlarfb.f – Synopsis Functions/Subroutines subroutine zlarfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK) ZLARFB applies a block reflector or its conjugate-transpose to a general rectangular matrix. Function/Subroutine Documentation subroutine zlarfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, complex*16, dimension( ldv, * )V, integerLDV, complex*16, dimension( ldt, *…
zlarf.f – Synopsis Functions/Subroutines subroutine zlarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) ZLARF applies an elementary reflector to a general rectangular matrix. Function/Subroutine Documentation subroutine zlarf (characterSIDE, integerM, integerN, complex*16, dimension( * )V, integerINCV, complex*16TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK) ZLARF applies an elementary reflector to a…
zlarf.f – Synopsis Functions/Subroutines subroutine zlarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) ZLARF applies an elementary reflector to a general rectangular matrix. Function/Subroutine Documentation subroutine zlarf (characterSIDE, integerM, integerN, complex*16, dimension( * )V, integerINCV, complex*16TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK) ZLARF applies an elementary reflector to a…
zlarcm.f – Synopsis Functions/Subroutines subroutine zlarcm (M, N, A, LDA, B, LDB, C, LDC, RWORK) ZLARCM copies all or part of a real two-dimensional array to a complex array. Function/Subroutine Documentation subroutine zlarcm (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, complex*16, dimension( ldb, * )B, integerLDB, complex*16, dimension( ldc, * )C, integerLDC, double…
zlarcm.f – Synopsis Functions/Subroutines subroutine zlarcm (M, N, A, LDA, B, LDB, C, LDC, RWORK) ZLARCM copies all or part of a real two-dimensional array to a complex array. Function/Subroutine Documentation subroutine zlarcm (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, complex*16, dimension( ldb, * )B, integerLDB, complex*16, dimension( ldc, * )C, integerLDC, double…
zlar2v.f – Synopsis Functions/Subroutines subroutine zlar2v (N, X, Y, Z, INCX, C, S, INCC) ZLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. Function/Subroutine Documentation subroutine zlar2v (integerN, complex*16, dimension( * )X, complex*16, dimension( * )Y, complex*16, dimension( * )Z, integerINCX,…
zlar2v.f – Synopsis Functions/Subroutines subroutine zlar2v (N, X, Y, Z, INCX, C, S, INCC) ZLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. Function/Subroutine Documentation subroutine zlar2v (integerN, complex*16, dimension( * )X, complex*16, dimension( * )Y, complex*16, dimension( * )Z, integerINCX,…
zlar1v.f – Synopsis Functions/Subroutines subroutine zlar1v (N, B1, BN, LAMBDA, D, L, LD, LLD, PIVMIN, GAPTOL, Z, WANTNC, NEGCNT, ZTZ, MINGMA, R, ISUPPZ, NRMINV, RESID, RQCORR, WORK) ZLAR1V computes the (scaled) r-th column of the inverse of the submatrix in rows b1 through bn of the tridiagonal matrix LDLT – λI. Function/Subroutine Documentation subroutine zlar1v…
zlar1v.f – Synopsis Functions/Subroutines subroutine zlar1v (N, B1, BN, LAMBDA, D, L, LD, LLD, PIVMIN, GAPTOL, Z, WANTNC, NEGCNT, ZTZ, MINGMA, R, ISUPPZ, NRMINV, RESID, RQCORR, WORK) ZLAR1V computes the (scaled) r-th column of the inverse of the submatrix in rows b1 through bn of the tridiagonal matrix LDLT – λI. Function/Subroutine Documentation subroutine zlar1v…
zlaqsy.f – Synopsis Functions/Subroutines subroutine zlaqsy (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED) ZLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ. Function/Subroutine Documentation subroutine zlaqsy (characterUPLO, integerN, complex*16, dimension( lda, * )A, integerLDA, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, characterEQUED) ZLAQSY scales a symmetric/Hermitian matrix, using scaling factors…
zlaqsy.f – Synopsis Functions/Subroutines subroutine zlaqsy (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED) ZLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ. Function/Subroutine Documentation subroutine zlaqsy (characterUPLO, integerN, complex*16, dimension( lda, * )A, integerLDA, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, characterEQUED) ZLAQSY scales a symmetric/Hermitian matrix, using scaling factors…
zlaqsp.f – Synopsis Functions/Subroutines subroutine zlaqsp (UPLO, N, AP, S, SCOND, AMAX, EQUED) ZLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ. Function/Subroutine Documentation subroutine zlaqsp (characterUPLO, integerN, complex*16, dimension( * )AP, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, characterEQUED) ZLAQSP scales a symmetric/Hermitian matrix in packed storage,…