Section 3: library functions
clar2v.f – Synopsis Functions/Subroutines subroutine clar2v (N, X, Y, Z, INCX, C, S, INCC) CLAR2V 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 clar2v (integerN, complex, dimension( * )X, complex, dimension( * )Y, complex, dimension( * )Z, integerINCX,…
clar1v.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine clar1v…
claqsy.f – Synopsis Functions/Subroutines subroutine claqsy (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED) CLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ. Function/Subroutine Documentation subroutine 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….
claqsp.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine claqsp (characterUPLO, integerN, complex, dimension( * )AP, real, dimension( * )S, realSCOND, realAMAX, characterEQUED) CLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors…
claqsb.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine claqsb (characterUPLO, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )S, realSCOND, realAMAX, characterEQUED) CLAQSB scales a symmetric/Hermitian band matrix, using scaling…
claqr5.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine claqr5 (logicalWANTT, logicalWANTZ, integerKACC22, integerN, integerKTOP, integerKBOT, integerNSHFTS, complex, dimension( * )S, complex, dimension(…
claqr4.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine claqr4 (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, complex, dimension( ldh, * )H, integerLDH, complex, dimension( *…
claqr3.f – Synopsis Functions/Subroutines subroutine 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…
claqr2.f – Synopsis Functions/Subroutines subroutine 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…
claqr1.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine claqr1 (integerN, complex, dimension( ldh, * )H, integerLDH, complexS1, complexS2, complex, dimension( * )V) CLAQR1 sets a scalar multiple…
claqr0.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine claqr0 (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, complex, dimension( ldh, * )H, integerLDH, complex, dimension( *…
claqps.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine claqps (integerM, integerN, integerOFFSET, integerNB, integerKB, complex, dimension( lda, * )A,…
claqp2.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine claqp2 (integerM, integerN, integerOFFSET, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, complex, dimension( * )TAU, real, dimension( * )VN1, real, dimension(…
claqhp.f – Synopsis Functions/Subroutines subroutine claqhp (UPLO, N, AP, S, SCOND, AMAX, EQUED) CLAQHP scales a Hermitian matrix stored in packed form. Function/Subroutine Documentation subroutine 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…
claqhe.f – Synopsis Functions/Subroutines subroutine claqhe (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED) CLAQHE scales a Hermitian matrix. Function/Subroutine Documentation subroutine 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…
claqhb.f – Synopsis Functions/Subroutines subroutine claqhb (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED) CLAQHB scales a Hermitian band matrix, using scaling factors computed by cpbequ. Function/Subroutine Documentation subroutine claqhb (characterUPLO, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )S, realSCOND, realAMAX, characterEQUED) CLAQHB scales a Hermitian band matrix, using scaling…
claqge.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine claqge (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, characterEQUED)…
claqgb.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine claqgb (integerM, integerN, integerKL, integerKU, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )R, real, dimension( * )C,…
clapmt.f – Synopsis Functions/Subroutines subroutine clapmt (FORWRD, M, N, X, LDX, K) CLAPMT performs a forward or backward permutation of the columns of a matrix. Function/Subroutine Documentation subroutine 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….
clapmr.f – Synopsis Functions/Subroutines subroutine clapmr (FORWRD, M, N, X, LDX, K) CLAPMR rearranges rows of a matrix as specified by a permutation vector. Function/Subroutine Documentation subroutine 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…