Section 3: library functions
NAME 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…
NAME 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…
NAME 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…
NAME 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,…
NAME 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(…
NAME 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…
NAME 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…
NAME 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…
NAME 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(…
NAME 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, *…
NAME 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,…
NAME 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…
NAME 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…
NAME 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…
NAME 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,…
NAME 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( *…
NAME 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…
NAME 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:…
NAME clapll.f – SYNOPSIS Functions/Subroutines subroutine clapll (N, X, INCX, Y, INCY, SSMIN) CLAPLL measures the linear dependence of two vectors. Function/Subroutine Documentation subroutine 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…
NAME clantr.f – SYNOPSIS Functions/Subroutines REAL function clantr (NORM, UPLO, DIAG, M, N, A, LDA, WORK) CLANTR returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a trapezoidal or triangular matrix. Function/Subroutine Documentation REAL function clantr (characterNORM, characterUPLO, characterDIAG, integerM, integerN, complex,…