Section 3: library functions
clar1v.f – SynopsisFunctions/Subroutinessubroutine clar1v (N, B1, BN, LAMBDA, D, L, LD, LLD, PIVMIN, GAPTOL, Z, WANTNC, NEGCNT, ZTZ, MINGMA, R, ISUPPZ, NRMINV, RESID, RQCORR, WORK) CLAR1V 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 Documentationsubroutine clar1v (integerN, integerB1, integerBN,…
claqsy.f – SynopsisFunctions/Subroutinessubroutine claqsy (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED) CLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ. Function/Subroutine Documentationsubroutine claqsy (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)CLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ. Purpose: CLAQSY equilibrates a…
claqsp.f – SynopsisFunctions/Subroutinessubroutine claqsp (UPLO, N, AP, S, SCOND, AMAX, EQUED) CLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ. Function/Subroutine Documentationsubroutine claqsp (characterUPLO, integerN, complex, dimension( * )AP, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)CLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ. Purpose:…
claqsb.f – SynopsisFunctions/Subroutinessubroutine claqsb (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED) CLAQSB scales a symmetric/Hermitian band matrix, using scaling factors computed by spbequ. Function/Subroutine Documentationsubroutine claqsb (characterUPLO, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)CLAQSB scales a symmetric/Hermitian band matrix, using scaling factors computed by spbequ….
claqr5.f – SynopsisFunctions/Subroutinessubroutine claqr5 (WANTT, WANTZ, KACC22, N, KTOP, KBOT, NSHFTS, S, H, LDH, ILOZ, IHIZ, Z, LDZ, V, LDV, U, LDU, NV, WV, LDWV, NH, WH, LDWH) CLAQR5 performs a single small-bulge multi-shift QR sweep. Function/Subroutine Documentationsubroutine claqr5 (logicalWANTT, logicalWANTZ, integerKACC22, integerN, integerKTOP, integerKBOT, integerNSHFTS, complex, dimension( * )S, complex, dimension( ldh, * )H,…
claqr4.f – SynopsisFunctions/Subroutinessubroutine claqr4 (WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO) CLAQR4 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. Function/Subroutine Documentationsubroutine claqr4 (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, complex, dimension( ldh, * )H, integerLDH, complex, dimension( * )W, integerILOZ, integerIHIZ,…
claqr3.f – SynopsisFunctions/Subroutinessubroutine claqr3 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SH, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK) CLAQR3 performs the unitary similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation). Function/Subroutine…
claqr2.f – SynopsisFunctions/Subroutinessubroutine claqr2 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SH, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK) CLAQR2 performs the unitary similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation). Function/Subroutine…
claqr1.f – SynopsisFunctions/Subroutinessubroutine claqr1 (N, H, LDH, S1, S2, V) CLAQR1 sets a scalar multiple of the first column of the product of 2-by-2 or 3-by-3 matrix H and specified shifts. Function/Subroutine Documentationsubroutine claqr1 (integerN, complex, dimension( ldh, * )H, integerLDH, complexS1, complexS2, complex, dimension( * )V)CLAQR1 sets a scalar multiple of the first column…
claqr0.f – SynopsisFunctions/Subroutinessubroutine claqr0 (WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO) CLAQR0 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. Function/Subroutine Documentationsubroutine claqr0 (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, complex, dimension( ldh, * )H, integerLDH, complex, dimension( * )W, integerILOZ, integerIHIZ,…
claqps.f – SynopsisFunctions/Subroutinessubroutine claqps (M, N, OFFSET, NB, KB, A, LDA, JPVT, TAU, VN1, VN2, AUXV, F, LDF) CLAQPS computes a step of QR factorization with column pivoting of a real m-by-n matrix A by using BLAS level 3. Function/Subroutine Documentationsubroutine claqps (integerM, integerN, integerOFFSET, integerNB, integerKB, complex, dimension( lda, * )A, integerLDA, integer, dimension(…
claqp2.f – SynopsisFunctions/Subroutinessubroutine claqp2 (M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2, WORK) CLAQP2 computes a QR factorization with column pivoting of the matrix block. Function/Subroutine Documentationsubroutine claqp2 (integerM, integerN, integerOFFSET, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, complex, dimension( * )TAU, real, dimension( * )VN1, real, dimension( * )VN2, complex,…
claqhp.f – SynopsisFunctions/Subroutinessubroutine claqhp (UPLO, N, AP, S, SCOND, AMAX, EQUED) CLAQHP scales a Hermitian matrix stored in packed form. Function/Subroutine Documentationsubroutine claqhp (characterUPLO, integerN, complex, dimension( * )AP, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)CLAQHP scales a Hermitian matrix stored in packed form. Purpose: CLAQHP equilibrates a Hermitian matrix A using the scaling factors…
claqhe.f – SynopsisFunctions/Subroutinessubroutine claqhe (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED) CLAQHE scales a Hermitian matrix. Function/Subroutine Documentationsubroutine claqhe (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)CLAQHE scales a Hermitian matrix. Purpose: CLAQHE equilibrates a Hermitian matrix A using the scaling factors in the vector S. Parameters:…
claqhb.f – SynopsisFunctions/Subroutinessubroutine claqhb (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED) CLAQHB scales a Hermitian band matrix, using scaling factors computed by cpbequ. Function/Subroutine Documentationsubroutine claqhb (characterUPLO, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)CLAQHB scales a Hermitian band matrix, using scaling factors computed by cpbequ….
claqge.f – SynopsisFunctions/Subroutinessubroutine claqge (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, EQUED) CLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ. Function/Subroutine Documentationsubroutine claqge (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, characterEQUED)CLAQGE scales a general…
claqgb.f – SynopsisFunctions/Subroutinessubroutine claqgb (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, EQUED) CLAQGB scales a general band matrix, using row and column scaling factors computed by sgbequ. Function/Subroutine Documentationsubroutine claqgb (integerM, integerN, integerKL, integerKU, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX,…
clapmt.f – SynopsisFunctions/Subroutinessubroutine clapmt (FORWRD, M, N, X, LDX, K) CLAPMT performs a forward or backward permutation of the columns of a matrix. Function/Subroutine Documentationsubroutine clapmt (logicalFORWRD, integerM, integerN, complex, dimension( ldx, * )X, integerLDX, integer, dimension( * )K)CLAPMT performs a forward or backward permutation of the columns of a matrix. Purpose: CLAPMT rearranges the…
clapmr.f – SynopsisFunctions/Subroutinessubroutine clapmr (FORWRD, M, N, X, LDX, K) CLAPMR rearranges rows of a matrix as specified by a permutation vector. Function/Subroutine Documentationsubroutine clapmr (logicalFORWRD, integerM, integerN, complex, dimension( ldx, * )X, integerLDX, integer, dimension( * )K)CLAPMR rearranges rows of a matrix as specified by a permutation vector. Purpose: CLAPMR rearranges the rows of…
clapll.f – SynopsisFunctions/Subroutinessubroutine clapll (N, X, INCX, Y, INCY, SSMIN) CLAPLL measures the linear dependence of two vectors. Function/Subroutine Documentationsubroutine clapll (integerN, complex, dimension( * )X, integerINCX, complex, dimension( * )Y, integerINCY, realSSMIN)CLAPLL measures the linear dependence of two vectors. Purpose: Given two column vectors X and Y, let A = ( X Y )….