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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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| subroutine | ctplqt (M, N, L, MB, A, LDA, B, LDB, T, LDT, WORK, INFO) |
| | CTPLQT More...
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| subroutine | ctplqt2 (M, N, L, A, LDA, B, LDB, T, LDT, INFO) |
| | CTPLQT2 More...
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| subroutine | ctpmlqt (SIDE, TRANS, M, N, K, L, MB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO) |
| | CTPMLQT More...
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| subroutine | dbbcsd (JOBU1, JOBU2, JOBV1T, JOBV2T, TRANS, M, P, Q, THETA, PHI, U1, LDU1, U2, LDU2, V1T, LDV1T, V2T, LDV2T, B11D, B11E, B12D, B12E, B21D, B21E, B22D, B22E, WORK, LWORK, INFO) |
| | DBBCSD More...
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| subroutine | dggsvp (JOBU, JOBV, JOBQ, M, P, N, A, LDA, B, LDB, TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, IWORK, TAU, WORK, INFO) |
| | DGGSVP More...
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| subroutine | dlatzm (SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK) |
| | DLATZM More...
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| subroutine | dtzrqf (M, N, A, LDA, TAU, INFO) |
| | DTZRQF More...
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| subroutine | dgghd3 (COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, WORK, LWORK, INFO) |
| | DGGHD3 More...
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| subroutine | dgghrd (COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, INFO) |
| | DGGHRD More...
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| subroutine | dggqrf (N, M, P, A, LDA, TAUA, B, LDB, TAUB, WORK, LWORK, INFO) |
| | DGGQRF More...
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| subroutine | dggrqf (M, P, N, A, LDA, TAUA, B, LDB, TAUB, WORK, LWORK, INFO) |
| | DGGRQF More...
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| subroutine | dggsvp3 (JOBU, JOBV, JOBQ, M, P, N, A, LDA, B, LDB, TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, IWORK, TAU, WORK, LWORK, INFO) |
| | DGGSVP3 More...
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| subroutine | dgsvj0 (JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) |
| | DGSVJ0 pre-processor for the routine dgesvj. More...
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| subroutine | dgsvj1 (JOBV, M, N, N1, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) |
| | DGSVJ1 pre-processor for the routine dgesvj, applies Jacobi rotations targeting only particular pivots. More...
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| subroutine | dhsein (SIDE, EIGSRC, INITV, SELECT, N, H, LDH, WR, WI, VL, LDVL, VR, LDVR, MM, M, WORK, IFAILL, IFAILR, INFO) |
| | DHSEIN More...
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| subroutine | dhseqr (JOB, COMPZ, N, ILO, IHI, H, LDH, WR, WI, Z, LDZ, WORK, LWORK, INFO) |
| | DHSEQR More...
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| subroutine | dla_lin_berr (N, NZ, NRHS, RES, AYB, BERR) |
| | DLA_LIN_BERR computes a component-wise relative backward error. More...
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| subroutine | dla_wwaddw (N, X, Y, W) |
| | DLA_WWADDW adds a vector into a doubled-single vector. More...
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| subroutine | dlals0 (ICOMPQ, NL, NR, SQRE, NRHS, B, LDB, BX, LDBX, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, POLES, DIFL, DIFR, Z, K, C, S, WORK, INFO) |
| | DLALS0 applies back multiplying factors in solving the least squares problem using divide and conquer SVD approach. Used by sgelsd. More...
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| subroutine | dlalsa (ICOMPQ, SMLSIZ, N, NRHS, B, LDB, BX, LDBX, U, LDU, VT, K, DIFL, DIFR, Z, POLES, GIVPTR, GIVCOL, LDGCOL, PERM, GIVNUM, C, S, WORK, IWORK, INFO) |
| | DLALSA computes the SVD of the coefficient matrix in compact form. Used by sgelsd. More...
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| subroutine | dlalsd (UPLO, SMLSIZ, N, NRHS, D, E, B, LDB, RCOND, RANK, WORK, IWORK, INFO) |
| | DLALSD uses the singular value decomposition of A to solve the least squares problem. More...
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| double precision function | dlansf (NORM, TRANSR, UPLO, N, A, WORK) |
| | DLANSF returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a symmetric matrix in RFP format. More...
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| subroutine | dlarscl2 (M, N, D, X, LDX) |
| | DLARSCL2 performs reciprocal diagonal scaling on a vector. More...
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| subroutine | dlarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) |
| | DLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix. More...
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| subroutine | dlarzb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK) |
| | DLARZB applies a block reflector or its transpose to a general matrix. More...
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| subroutine | dlarzt (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) |
| | DLARZT forms the triangular factor T of a block reflector H = I - vtvH. More...
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| subroutine | dlascl2 (M, N, D, X, LDX) |
| | DLASCL2 performs diagonal scaling on a vector. More...
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| subroutine | dlatrz (M, N, L, A, LDA, TAU, WORK) |
| | DLATRZ factors an upper trapezoidal matrix by means of orthogonal transformations. More...
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| subroutine | dopgtr (UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) |
| | DOPGTR More...
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| subroutine | dopmtr (SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) |
| | DOPMTR More...
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| subroutine | dorbdb (TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, PHI, TAUP1, TAUP2, TAUQ1, TAUQ2, WORK, LWORK, INFO) |
| | DORBDB More...
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| subroutine | dorbdb1 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO) |
| | DORBDB1 More...
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| subroutine | dorbdb2 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO) |
| | DORBDB2 More...
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| subroutine | dorbdb3 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO) |
| | DORBDB3 More...
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| subroutine | dorbdb4 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, PHANTOM, WORK, LWORK, INFO) |
| | DORBDB4 More...
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| subroutine | dorbdb5 (M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO) |
| | DORBDB5 More...
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| subroutine | dorbdb6 (M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO) |
| | DORBDB6 More...
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| recursive subroutine | dorcsd (JOBU1, JOBU2, JOBV1T, JOBV2T, TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, U1, LDU1, U2, LDU2, V1T, LDV1T, V2T, LDV2T, WORK, LWORK, IWORK, INFO) |
| | DORCSD More...
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| subroutine | dorcsd2by1 (JOBU1, JOBU2, JOBV1T, M, P, Q, X11, LDX11, X21, LDX21, THETA, U1, LDU1, U2, LDU2, V1T, LDV1T, WORK, LWORK, IWORK, INFO) |
| | DORCSD2BY1 More...
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| subroutine | dorg2l (M, N, K, A, LDA, TAU, WORK, INFO) |
| | DORG2L generates all or part of the orthogonal matrix Q from a QL factorization determined by sgeqlf (unblocked algorithm). More...
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| subroutine | dorg2r (M, N, K, A, LDA, TAU, WORK, INFO) |
| | DORG2R generates all or part of the orthogonal matrix Q from a QR factorization determined by sgeqrf (unblocked algorithm). More...
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| subroutine | dorghr (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) |
| | DORGHR More...
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| subroutine | dorgl2 (M, N, K, A, LDA, TAU, WORK, INFO) |
| | DORGL2 More...
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| subroutine | dorglq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | DORGLQ More...
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| subroutine | dorgql (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | DORGQL More...
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| subroutine | dorgqr (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | DORGQR More...
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| subroutine | dorgr2 (M, N, K, A, LDA, TAU, WORK, INFO) |
| | DORGR2 generates all or part of the orthogonal matrix Q from an RQ factorization determined by sgerqf (unblocked algorithm). More...
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| subroutine | dorgrq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | DORGRQ More...
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| subroutine | dorgtr (UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) |
| | DORGTR More...
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| subroutine | dorgtsqr (M, N, MB, NB, A, LDA, T, LDT, WORK, LWORK, INFO) |
| | DORGTSQR More...
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| subroutine | dorhr_col (M, N, NB, A, LDA, T, LDT, D, INFO) |
| | DORHR_COL More...
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| subroutine | dorm2l (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) |
| | DORM2L multiplies a general matrix by the orthogonal matrix from a QL factorization determined by sgeqlf (unblocked algorithm). More...
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| subroutine | dorm2r (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) |
| | DORM2R multiplies a general matrix by the orthogonal matrix from a QR factorization determined by sgeqrf (unblocked algorithm). More...
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| subroutine | dormbr (VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | DORMBR More...
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| subroutine | dormhr (SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | DORMHR More...
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| subroutine | dorml2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) |
| | DORML2 multiplies a general matrix by the orthogonal matrix from a LQ factorization determined by sgelqf (unblocked algorithm). More...
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| subroutine | dormlq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | DORMLQ More...
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| subroutine | dormql (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | DORMQL More...
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| subroutine | dormqr (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | DORMQR More...
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| subroutine | dormr2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) |
| | DORMR2 multiplies a general matrix by the orthogonal matrix from a RQ factorization determined by sgerqf (unblocked algorithm). More...
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| subroutine | dormr3 (SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO) |
| | DORMR3 multiplies a general matrix by the orthogonal matrix from a RZ factorization determined by stzrzf (unblocked algorithm). More...
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| subroutine | dormrq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | DORMRQ More...
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| subroutine | dormrz (SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | DORMRZ More...
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| subroutine | dormtr (SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | DORMTR More...
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| subroutine | dpbcon (UPLO, N, KD, AB, LDAB, ANORM, RCOND, WORK, IWORK, INFO) |
| | DPBCON More...
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| subroutine | dpbequ (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, INFO) |
| | DPBEQU More...
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| subroutine | dpbrfs (UPLO, N, KD, NRHS, AB, LDAB, AFB, LDAFB, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) |
| | DPBRFS More...
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| subroutine | dpbstf (UPLO, N, KD, AB, LDAB, INFO) |
| | DPBSTF More...
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| subroutine | dpbtf2 (UPLO, N, KD, AB, LDAB, INFO) |
| | DPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (unblocked algorithm). More...
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| subroutine | dpbtrf (UPLO, N, KD, AB, LDAB, INFO) |
| | DPBTRF More...
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| subroutine | dpbtrs (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO) |
| | DPBTRS More...
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| subroutine | dpftrf (TRANSR, UPLO, N, A, INFO) |
| | DPFTRF More...
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| subroutine | dpftri (TRANSR, UPLO, N, A, INFO) |
| | DPFTRI More...
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| subroutine | dpftrs (TRANSR, UPLO, N, NRHS, A, B, LDB, INFO) |
| | DPFTRS More...
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| subroutine | dppcon (UPLO, N, AP, ANORM, RCOND, WORK, IWORK, INFO) |
| | DPPCON More...
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| subroutine | dppequ (UPLO, N, AP, S, SCOND, AMAX, INFO) |
| | DPPEQU More...
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| subroutine | dpprfs (UPLO, N, NRHS, AP, AFP, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) |
| | DPPRFS More...
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| subroutine | dpptrf (UPLO, N, AP, INFO) |
| | DPPTRF More...
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| subroutine | dpptri (UPLO, N, AP, INFO) |
| | DPPTRI More...
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| subroutine | dpptrs (UPLO, N, NRHS, AP, B, LDB, INFO) |
| | DPPTRS More...
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| subroutine | dpstf2 (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) |
| | DPSTF2 computes the Cholesky factorization with complete pivoting of a real symmetric positive semidefinite matrix. More...
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| subroutine | dpstrf (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) |
| | DPSTRF computes the Cholesky factorization with complete pivoting of a real symmetric positive semidefinite matrix. More...
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| subroutine | dsbgst (VECT, UPLO, N, KA, KB, AB, LDAB, BB, LDBB, X, LDX, WORK, INFO) |
| | DSBGST More...
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| subroutine | dsbtrd (VECT, UPLO, N, KD, AB, LDAB, D, E, Q, LDQ, WORK, INFO) |
| | DSBTRD More...
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| subroutine | dsfrk (TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C) |
| | DSFRK performs a symmetric rank-k operation for matrix in RFP format. More...
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| subroutine | dspcon (UPLO, N, AP, IPIV, ANORM, RCOND, WORK, IWORK, INFO) |
| | DSPCON More...
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| subroutine | dspgst (ITYPE, UPLO, N, AP, BP, INFO) |
| | DSPGST More...
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| subroutine | dsprfs (UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) |
| | DSPRFS More...
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| subroutine | dsptrd (UPLO, N, AP, D, E, TAU, INFO) |
| | DSPTRD More...
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| subroutine | dsptrf (UPLO, N, AP, IPIV, INFO) |
| | DSPTRF More...
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| subroutine | dsptri (UPLO, N, AP, IPIV, WORK, INFO) |
| | DSPTRI More...
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| subroutine | dsptrs (UPLO, N, NRHS, AP, IPIV, B, LDB, INFO) |
| | DSPTRS More...
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| subroutine | dstegr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, IWORK, LIWORK, INFO) |
| | DSTEGR More...
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| subroutine | dstein (N, D, E, M, W, IBLOCK, ISPLIT, Z, LDZ, WORK, IWORK, IFAIL, INFO) |
| | DSTEIN More...
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| subroutine | dstemr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, M, W, Z, LDZ, NZC, ISUPPZ, TRYRAC, WORK, LWORK, IWORK, LIWORK, INFO) |
| | DSTEMR More...
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| subroutine | dtbcon (NORM, UPLO, DIAG, N, KD, AB, LDAB, RCOND, WORK, IWORK, INFO) |
| | DTBCON More...
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| subroutine | dtbrfs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) |
| | DTBRFS More...
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| subroutine | dtbtrs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, INFO) |
| | DTBTRS More...
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| subroutine | dtfsm (TRANSR, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA, A, B, LDB) |
| | DTFSM solves a matrix equation (one operand is a triangular matrix in RFP format). More...
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| subroutine | dtftri (TRANSR, UPLO, DIAG, N, A, INFO) |
| | DTFTRI More...
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| subroutine | dtfttp (TRANSR, UPLO, N, ARF, AP, INFO) |
| | DTFTTP copies a triangular matrix from the rectangular full packed format (TF) to the standard packed format (TP). More...
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| subroutine | dtfttr (TRANSR, UPLO, N, ARF, A, LDA, INFO) |
| | DTFTTR copies a triangular matrix from the rectangular full packed format (TF) to the standard full format (TR). More...
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| subroutine | dtgsen (IJOB, WANTQ, WANTZ, SELECT, N, A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, Q, LDQ, Z, LDZ, M, PL, PR, DIF, WORK, LWORK, IWORK, LIWORK, INFO) |
| | DTGSEN More...
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| subroutine | dtgsja (JOBU, JOBV, JOBQ, M, P, N, K, L, A, LDA, B, LDB, TOLA, TOLB, ALPHA, BETA, U, LDU, V, LDV, Q, LDQ, WORK, NCYCLE, INFO) |
| | DTGSJA More...
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| subroutine | dtgsna (JOB, HOWMNY, SELECT, N, A, LDA, B, LDB, VL, LDVL, VR, LDVR, S, DIF, MM, M, WORK, LWORK, IWORK, INFO) |
| | DTGSNA More...
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| subroutine | dtpcon (NORM, UPLO, DIAG, N, AP, RCOND, WORK, IWORK, INFO) |
| | DTPCON More...
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| subroutine | dtplqt (M, N, L, MB, A, LDA, B, LDB, T, LDT, WORK, INFO) |
| | DTPLQT More...
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| subroutine | dtplqt2 (M, N, L, A, LDA, B, LDB, T, LDT, INFO) |
| | DTPLQT2 computes a LQ factorization of a real or complex "triangular-pentagonal" matrix, which is composed of a triangular block and a pentagonal block, using the compact WY representation for Q. More...
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| subroutine | dtpmlqt (SIDE, TRANS, M, N, K, L, MB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO) |
| | DTPMLQT More...
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| subroutine | dtpmqrt (SIDE, TRANS, M, N, K, L, NB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO) |
| | DTPMQRT More...
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| subroutine | dtpqrt (M, N, L, NB, A, LDA, B, LDB, T, LDT, WORK, INFO) |
| | DTPQRT More...
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| subroutine | dtpqrt2 (M, N, L, A, LDA, B, LDB, T, LDT, INFO) |
| | DTPQRT2 computes a QR factorization of a real or complex "triangular-pentagonal" matrix, which is composed of a triangular block and a pentagonal block, using the compact WY representation for Q. More...
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| subroutine | dtprfs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) |
| | DTPRFS More...
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| subroutine | dtptri (UPLO, DIAG, N, AP, INFO) |
| | DTPTRI More...
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| subroutine | dtptrs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, INFO) |
| | DTPTRS More...
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| subroutine | dtpttf (TRANSR, UPLO, N, AP, ARF, INFO) |
| | DTPTTF copies a triangular matrix from the standard packed format (TP) to the rectangular full packed format (TF). More...
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| subroutine | dtpttr (UPLO, N, AP, A, LDA, INFO) |
| | DTPTTR copies a triangular matrix from the standard packed format (TP) to the standard full format (TR). More...
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| subroutine | dtrcon (NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, IWORK, INFO) |
| | DTRCON More...
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| subroutine | dtrevc (SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, INFO) |
| | DTREVC More...
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| subroutine | dtrevc3 (SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, LWORK, INFO) |
| | DTREVC3 More...
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| subroutine | dtrexc (COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, WORK, INFO) |
| | DTREXC More...
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| subroutine | dtrrfs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) |
| | DTRRFS More...
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| subroutine | dtrsen (JOB, COMPQ, SELECT, N, T, LDT, Q, LDQ, WR, WI, M, S, SEP, WORK, LWORK, IWORK, LIWORK, INFO) |
| | DTRSEN More...
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| subroutine | dtrsna (JOB, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, S, SEP, MM, M, WORK, LDWORK, IWORK, INFO) |
| | DTRSNA More...
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| subroutine | dtrti2 (UPLO, DIAG, N, A, LDA, INFO) |
| | DTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). More...
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| subroutine | dtrtri (UPLO, DIAG, N, A, LDA, INFO) |
| | DTRTRI More...
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| subroutine | dtrtrs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, INFO) |
| | DTRTRS More...
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| subroutine | dtrttf (TRANSR, UPLO, N, A, LDA, ARF, INFO) |
| | DTRTTF copies a triangular matrix from the standard full format (TR) to the rectangular full packed format (TF). More...
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| subroutine | dtrttp (UPLO, N, A, LDA, AP, INFO) |
| | DTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP). More...
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| subroutine | dtzrzf (M, N, A, LDA, TAU, WORK, LWORK, INFO) |
| | DTZRZF More...
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| subroutine | stplqt (M, N, L, MB, A, LDA, B, LDB, T, LDT, WORK, INFO) |
| | STPLQT More...
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| subroutine | stplqt2 (M, N, L, A, LDA, B, LDB, T, LDT, INFO) |
| | STPLQT2 computes a LQ factorization of a real or complex "triangular-pentagonal" matrix, which is composed of a triangular block and a pentagonal block, using the compact WY representation for Q. More...
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| subroutine | stpmlqt (SIDE, TRANS, M, N, K, L, MB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO) |
| | DTPMLQT More...
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| subroutine | ztplqt (M, N, L, MB, A, LDA, B, LDB, T, LDT, WORK, INFO) |
| | ZTPLQT More...
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| subroutine | ztplqt2 (M, N, L, A, LDA, B, LDB, T, LDT, INFO) |
| | ZTPLQT2 computes a LQ factorization of a real or complex "triangular-pentagonal" matrix, which is composed of a triangular block and a pentagonal block, using the compact WY representation for Q. More...
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| subroutine | ztpmlqt (SIDE, TRANS, M, N, K, L, MB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO) |
| | ZTPMLQT More...
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This is the group of double other Computational routines
subroutine slarfb(SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK)
SLARFB applies a block reflector or its transpose to a general rectangular matrix.
subroutine dger(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
DGER
subroutine dlapll(N, X, INCX, Y, INCY, SSMIN)
DLAPLL measures the linear dependence of two vectors.
subroutine strmv(UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
STRMV
subroutine dorbdb4(M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, PHANTOM, WORK, LWORK, INFO)
DORBDB4
subroutine dpstf2(UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO)
DPSTF2 computes the Cholesky factorization with complete pivoting of a real symmetric positive semide...
subroutine dlatrs(UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE, CNORM, INFO)
DLATRS solves a triangular system of equations with the scale factor set to prevent overflow.
subroutine dtfsm(TRANSR, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA, A, B, LDB)
DTFSM solves a matrix equation (one operand is a triangular matrix in RFP format).
double precision function dlanhs(NORM, N, A, LDA, WORK)
DLANHS returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
subroutine dgerq2(M, N, A, LDA, TAU, WORK, INFO)
DGERQ2 computes the RQ factorization of a general rectangular matrix using an unblocked algorithm.
subroutine clarfg(N, ALPHA, X, INCX, TAU)
CLARFG generates an elementary reflector (Householder matrix).
subroutine dlarrr(N, D, E, INFO)
DLARRR performs tests to decide whether the symmetric tridiagonal matrix T warrants expensive computa...
subroutine stprfb(SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, A, LDA, B, LDB, WORK, LDWORK)
STPRFB applies a real or complex "triangular-pentagonal" blocked reflector to a real or complex matri...
subroutine dlascl(TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO)
DLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.
subroutine dlalsa(ICOMPQ, SMLSIZ, N, NRHS, B, LDB, BX, LDBX, U, LDU, VT, K, DIFL, DIFR, Z, POLES, GIVPTR, GIVCOL, LDGCOL, PERM, GIVNUM, C, S, WORK, IWORK, INFO)
DLALSA computes the SVD of the coefficient matrix in compact form. Used by sgelsd.
subroutine dtpsv(UPLO, TRANS, DIAG, N, AP, X, INCX)
DTPSV
subroutine dormql(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
DORMQL
subroutine zgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
ZGEMV
subroutine dlaexc(WANTQ, N, T, LDT, Q, LDQ, J1, N1, N2, WORK, INFO)
DLAEXC swaps adjacent diagonal blocks of a real upper quasi-triangular matrix in Schur canonical form...
subroutine dlamtsqr(SIDE, TRANS, M, N, K, MB, NB, A, LDA, T, LDT, C, LDC, WORK, LWORK, INFO)
DLAMTSQR
double precision function dlanst(NORM, N, D, E)
DLANST returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine dlarfgp(N, ALPHA, X, INCX, TAU)
DLARFGP generates an elementary reflector (Householder matrix) with non-negative beta.
integer function idamax(N, DX, INCX)
IDAMAX
subroutine dlartg(F, G, CS, SN, R)
DLARTG generates a plane rotation with real cosine and real sine.
double precision function dlansf(NORM, TRANSR, UPLO, N, A, WORK)
DLANSF returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine dlaorhr_col_getrfnp(M, N, A, LDA, D, INFO)
DLAORHR_COL_GETRFNP
subroutine dlarrv(N, VL, VU, D, L, PIVMIN, ISPLIT, M, DOL, DOU, MINRGP, RTOL1, RTOL2, W, WERR, WGAP, IBLOCK, INDEXW, GERS, Z, LDZ, ISUPPZ, WORK, IWORK, INFO)
DLARRV computes the eigenvectors of the tridiagonal matrix T = L D LT given L, D and the eigenvalues ...
subroutine dgeqr2(M, N, A, LDA, TAU, WORK, INFO)
DGEQR2 computes the QR factorization of a general rectangular matrix using an unblocked algorithm.
subroutine dtftri(TRANSR, UPLO, DIAG, N, A, INFO)
DTFTRI
subroutine dorglq(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
DORGLQ
subroutine dorml2(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
DORML2 multiplies a general matrix by the orthogonal matrix from a LQ factorization determined by sge...
subroutine dorbdb5(M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO)
DORBDB5
subroutine dormrq(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
DORMRQ
subroutine dsyrk(UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC)
DSYRK
subroutine dlarft(DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT)
DLARFT forms the triangular factor T of a block reflector H = I - vtvH
subroutine dspr(UPLO, N, ALPHA, X, INCX, AP)
DSPR
subroutine dlatps(UPLO, TRANS, DIAG, NORMIN, N, AP, X, SCALE, CNORM, INFO)
DLATPS solves a triangular system of equations with the matrix held in packed storage.
subroutine dlargv(N, X, INCX, Y, INCY, C, INCC)
DLARGV generates a vector of plane rotations with real cosines and real sines.
subroutine dlahqr(WANTT, WANTZ, N, ILO, IHI, H, LDH, WR, WI, ILOZ, IHIZ, Z, LDZ, INFO)
DLAHQR computes the eigenvalues and Schur factorization of an upper Hessenberg matrix,...
subroutine dorg2l(M, N, K, A, LDA, TAU, WORK, INFO)
DORG2L generates all or part of the orthogonal matrix Q from a QL factorization determined by sgeqlf ...
subroutine dlaev2(A, B, C, RT1, RT2, CS1, SN1)
DLAEV2 computes the eigenvalues and eigenvectors of a 2-by-2 symmetric/Hermitian matrix.
subroutine dtgexc(WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, LDZ, IFST, ILST, WORK, LWORK, INFO)
DTGEXC
subroutine dorm22(SIDE, TRANS, M, N, N1, N2, Q, LDQ, C, LDC, WORK, LWORK, INFO)
DORM22 multiplies a general matrix by a banded orthogonal matrix.
subroutine dlarz(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK)
DLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.
subroutine dsbmv(UPLO, N, K, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
DSBMV
subroutine dtrsm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
DTRSM
subroutine dlacn2(N, V, X, ISGN, EST, KASE, ISAVE)
DLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vec...
logical function disnan(DIN)
DISNAN tests input for NaN.
subroutine dsptrs(UPLO, N, NRHS, AP, IPIV, B, LDB, INFO)
DSPTRS
subroutine dlauum(UPLO, N, A, LDA, INFO)
DLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked...
subroutine dlaqtr(LTRAN, LREAL, N, T, LDT, B, W, SCALE, X, WORK, INFO)
DLAQTR solves a real quasi-triangular system of equations, or a complex quasi-triangular system of sp...
subroutine dormlq(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
DORMLQ
subroutine dtrmv(UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
DTRMV
subroutine dormr2(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
DORMR2 multiplies a general matrix by the orthogonal matrix from a RQ factorization determined by sge...
subroutine dlarfg(N, ALPHA, X, INCX, TAU)
DLARFG generates an elementary reflector (Householder matrix).
subroutine cgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
CGEMV
subroutine cgerc(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
CGERC
subroutine dlartgs(X, Y, SIGMA, CS, SN)
DLARTGS generates a plane rotation designed to introduce a bulge in implicit QR iteration for the bid...
double precision function dlantr(NORM, UPLO, DIAG, M, N, A, LDA, WORK)
DLANTR returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine dorbdb3(M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO)
DORBDB3
subroutine dlagts(JOB, N, A, B, C, D, IN, Y, TOL, INFO)
DLAGTS solves the system of equations (T-λI)x = y or (T-λI)Tx = y,where T is a general tridiagonal ma...
subroutine dlarre(RANGE, N, VL, VU, IL, IU, D, E, E2, RTOL1, RTOL2, SPLTOL, NSPLIT, ISPLIT, M, W, WERR, WGAP, IBLOCK, INDEXW, GERS, PIVMIN, WORK, IWORK, INFO)
DLARRE given the tridiagonal matrix T, sets small off-diagonal elements to zero and for each unreduce...
double precision function dlantb(NORM, UPLO, DIAG, N, K, AB, LDAB, WORK)
DLANTB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine dspmv(UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY)
DSPMV
subroutine dtrti2(UPLO, DIAG, N, A, LDA, INFO)
DTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).
subroutine dorbdb(TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, PHI, TAUP1, TAUP2, TAUQ1, TAUQ2, WORK, LWORK, INFO)
DORBDB
subroutine dpptrs(UPLO, N, NRHS, AP, B, LDB, INFO)
DPPTRS
double precision function dlapy2(X, Y)
DLAPY2 returns sqrt(x2+y2).
subroutine dlapmt(FORWRD, M, N, X, LDX, K)
DLAPMT performs a forward or backward permutation of the columns of a matrix.
subroutine dpbtf2(UPLO, N, KD, AB, LDAB, INFO)
DPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (un...
subroutine dlaqr0(WANTT, WANTZ, N, ILO, IHI, H, LDH, WR, WI, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO)
DLAQR0 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur de...
subroutine ztplqt2(M, N, L, A, LDA, B, LDB, T, LDT, INFO)
ZTPLQT2 computes a LQ factorization of a real or complex "triangular-pentagonal" matrix,...
subroutine dlatbs(UPLO, TRANS, DIAG, NORMIN, N, KD, AB, LDAB, X, SCALE, CNORM, INFO)
DLATBS solves a triangular banded system of equations.
subroutine zgerc(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
ZGERC
subroutine dtrmm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
DTRMM
subroutine dorm2l(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
DORM2L multiplies a general matrix by the orthogonal matrix from a QL factorization determined by sge...
subroutine dorbdb1(M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO)
DORBDB1
subroutine dtbmv(UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX)
DTBMV
double precision function dlange(NORM, M, N, A, LDA, WORK)
DLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
subroutine dormr3(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO)
DORMR3 multiplies a general matrix by the orthogonal matrix from a RZ factorization determined by stz...
subroutine ctprfb(SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, A, LDA, B, LDB, WORK, LDWORK)
CTPRFB applies a real or complex "triangular-pentagonal" blocked reflector to a real or complex matri...
subroutine dlarfb(SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK)
DLARFB applies a block reflector or its transpose to a general rectangular matrix.
subroutine drscl(N, SA, SX, INCX)
DRSCL multiplies a vector by the reciprocal of a real scalar.
subroutine dlals0(ICOMPQ, NL, NR, SQRE, NRHS, B, LDB, BX, LDBX, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, POLES, DIFL, DIFR, Z, K, C, S, WORK, INFO)
DLALS0 applies back multiplying factors in solving the least squares problem using divide and conquer...
subroutine dcopy(N, DX, INCX, DY, INCY)
DCOPY
subroutine sgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
SGEMV
subroutine dstemr(JOBZ, RANGE, N, D, E, VL, VU, IL, IU, M, W, Z, LDZ, NZC, ISUPPZ, TRYRAC, WORK, LWORK, IWORK, LIWORK, INFO)
DSTEMR
subroutine stplqt2(M, N, L, A, LDA, B, LDB, T, LDT, INFO)
STPLQT2 computes a LQ factorization of a real or complex "triangular-pentagonal" matrix,...
subroutine slarfg(N, ALPHA, X, INCX, TAU)
SLARFG generates an elementary reflector (Householder matrix).
subroutine dtrexc(COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, WORK, INFO)
DTREXC
double precision function dnrm2(N, X, INCX)
DNRM2
subroutine dtrsv(UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
DTRSV
subroutine dorbdb6(M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO)
DORBDB6
subroutine dlasdt(N, LVL, ND, INODE, NDIML, NDIMR, MSUB)
DLASDT creates a tree of subproblems for bidiagonal divide and conquer. Used by sbdsdc.
subroutine dsyr(UPLO, N, ALPHA, X, INCX, A, LDA)
DSYR
subroutine dtprfb(SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, A, LDA, B, LDB, WORK, LDWORK)
DTPRFB applies a real or complex "triangular-pentagonal" blocked reflector to a real or complex matri...
recursive subroutine dorcsd(JOBU1, JOBU2, JOBV1T, JOBV2T, TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, U1, LDU1, U2, LDU2, V1T, LDV1T, V2T, LDV2T, WORK, LWORK, IWORK, INFO)
DORCSD
subroutine dlaln2(LTRANS, NA, NW, SMIN, CA, A, LDA, D1, D2, B, LDB, WR, WI, X, LDX, SCALE, XNORM, INFO)
DLALN2 solves a 1-by-1 or 2-by-2 linear system of equations of the specified form.
subroutine dlas2(F, G, H, SSMIN, SSMAX)
DLAS2 computes singular values of a 2-by-2 triangular matrix.
subroutine ctrmv(UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
CTRMV
subroutine dlasdq(UPLO, SQRE, N, NCVT, NRU, NCC, D, E, VT, LDVT, U, LDU, C, LDC, WORK, INFO)
DLASDQ computes the SVD of a real bidiagonal matrix with diagonal d and off-diagonal e....
subroutine ztprfb(SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, A, LDA, B, LDB, WORK, LDWORK)
ZTPRFB applies a real or complex "triangular-pentagonal" blocked reflector to a real or complex matri...
subroutine dlarnv(IDIST, ISEED, N, X)
DLARNV returns a vector of random numbers from a uniform or normal distribution.
subroutine dlaein(RIGHTV, NOINIT, N, H, LDH, WR, WI, VR, VI, B, LDB, WORK, EPS3, SMLNUM, BIGNUM, INFO)
DLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by inverse iterat...
subroutine dorgqr(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
DORGQR
subroutine dlatrz(M, N, L, A, LDA, TAU, WORK)
DLATRZ factors an upper trapezoidal matrix by means of orthogonal transformations.
subroutine dtgsyl(TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, DIF, WORK, LWORK, IWORK, INFO)
DTGSYL
subroutine dpbtrs(UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
DPBTRS
subroutine dlarrj(N, D, E2, IFIRST, ILAST, RTOL, OFFSET, W, WERR, WORK, IWORK, PIVMIN, SPDIAM, INFO)
DLARRJ performs refinement of the initial estimates of the eigenvalues of the matrix T.
subroutine dpotf2(UPLO, N, A, LDA, INFO)
DPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblock...
subroutine dgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
DGEMM
subroutine dtbsv(UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX)
DTBSV
double precision function dlamc3(A, B)
DLAMC3
subroutine dlar2v(N, X, Y, Z, INCX, C, S, INCC)
DLAR2V applies a vector of plane rotations with real cosines and real sines from both sides to a sequ...
subroutine dlag2(A, LDA, B, LDB, SAFMIN, SCALE1, SCALE2, WR1, WR2, WI)
DLAG2 computes the eigenvalues of a 2-by-2 generalized eigenvalue problem, with scaling as necessary ...
subroutine xerbla(SRNAME, INFO)
XERBLA
subroutine dgerqf(M, N, A, LDA, TAU, WORK, LWORK, INFO)
DGERQF
logical function lsame(CA, CB)
LSAME
subroutine dlarrc(JOBT, N, VL, VU, D, E, PIVMIN, EIGCNT, LCNT, RCNT, INFO)
DLARRC computes the number of eigenvalues of the symmetric tridiagonal matrix.
subroutine drot(N, DX, INCX, DY, INCY, C, S)
DROT
subroutine dlags2(UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ)
DLAGS2 computes 2-by-2 orthogonal matrices U, V, and Q, and applies them to matrices A and B such tha...
subroutine dbbcsd(JOBU1, JOBU2, JOBV1T, JOBV2T, TRANS, M, P, Q, THETA, PHI, U1, LDU1, U2, LDU2, V1T, LDV1T, V2T, LDV2T, B11D, B11E, B12D, B12E, B21D, B21E, B22D, B22E, WORK, LWORK, INFO)
DBBCSD
subroutine dorbdb2(M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO)
DORBDB2
subroutine dgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
DGEMV
subroutine dlagtf(N, A, LAMBDA, B, C, TOL, D, IN, INFO)
DLAGTF computes an LU factorization of a matrix T-λI, where T is a general tridiagonal matrix,...
subroutine dlassq(N, X, INCX, SCALE, SUMSQ)
DLASSQ updates a sum of squares represented in scaled form.
subroutine dlarf(SIDE, M, N, V, INCV, TAU, C, LDC, WORK)
DLARF applies an elementary reflector to a general rectangular matrix.
subroutine dorg2r(M, N, K, A, LDA, TAU, WORK, INFO)
DORG2R generates all or part of the orthogonal matrix Q from a QR factorization determined by sgeqrf ...
subroutine dswap(N, DX, INCX, DY, INCY)
DSWAP
subroutine dgeqpf(M, N, A, LDA, JPVT, TAU, WORK, INFO)
DGEQPF
subroutine zlarfg(N, ALPHA, X, INCX, TAU)
ZLARFG generates an elementary reflector (Householder matrix).
subroutine dlarzt(DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT)
DLARZT forms the triangular factor T of a block reflector H = I - vtvH.
subroutine sger(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
SGER
subroutine dlasr(SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA)
DLASR applies a sequence of plane rotations to a general rectangular matrix.
subroutine dgeqp3(M, N, A, LDA, JPVT, TAU, WORK, LWORK, INFO)
DGEQP3
subroutine dlabad(SMALL, LARGE)
DLABAD
subroutine dgghrd(COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, INFO)
DGGHRD
double precision function dlantp(NORM, UPLO, DIAG, N, AP, WORK)
DLANTP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
integer function ilaenv(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
subroutine dspr2(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)
DSPR2
subroutine dlartv(N, X, INCX, Y, INCY, C, S, INCC)
DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair...
subroutine dtrtri(UPLO, DIAG, N, A, LDA, INFO)
DTRTRI
subroutine dlaset(UPLO, M, N, ALPHA, BETA, A, LDA)
DLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
subroutine dlartgp(F, G, CS, SN, R)
DLARTGP generates a plane rotation so that the diagonal is nonnegative.
subroutine dtptri(UPLO, DIAG, N, AP, INFO)
DTPTRI
subroutine dormqr(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
DORMQR
subroutine dtpmv(UPLO, TRANS, DIAG, N, AP, X, INCX)
DTPMV
subroutine dtrsyl(TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, SCALE, INFO)
DTRSYL
subroutine dorgl2(M, N, K, A, LDA, TAU, WORK, INFO)
DORGL2
double precision function ddot(N, DX, INCX, DY, INCY)
DDOT
subroutine dlasda(ICOMPQ, SMLSIZ, N, SQRE, D, E, U, LDU, VT, K, DIFL, DIFR, Z, POLES, GIVPTR, GIVCOL, LDGCOL, PERM, GIVNUM, C, S, WORK, IWORK, INFO)
DLASDA computes the singular value decomposition (SVD) of a real upper bidiagonal matrix with diagona...
subroutine dgeqrf(M, N, A, LDA, TAU, WORK, LWORK, INFO)
DGEQRF
subroutine drotm(N, DX, INCX, DY, INCY, DPARAM)
DROTM
subroutine ztrmv(UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
ZTRMV
subroutine dorgql(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
DORGQL
subroutine dtplqt2(M, N, L, A, LDA, B, LDB, T, LDT, INFO)
DTPLQT2 computes a LQ factorization of a real or complex "triangular-pentagonal" matrix,...
subroutine dpotrf(UPLO, N, A, LDA, INFO)
DPOTRF
subroutine dscal(N, DA, DX, INCX)
DSCAL
subroutine dlasrt(ID, N, D, INFO)
DLASRT sorts numbers in increasing or decreasing order.
subroutine dlapmr(FORWRD, M, N, X, LDX, K)
DLAPMR rearranges rows of a matrix as specified by a permutation vector.
subroutine dlarzb(SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK)
DLARZB applies a block reflector or its transpose to a general matrix.
subroutine ctplqt2(M, N, L, A, LDA, B, LDB, T, LDT, INFO)
CTPLQT2
double precision function dlamch(CMACH)
DLAMCH
subroutine dlacpy(UPLO, M, N, A, LDA, B, LDB)
DLACPY copies all or part of one two-dimensional array to another.
subroutine dlae2(A, B, C, RT1, RT2)
DLAE2 computes the eigenvalues of a 2-by-2 symmetric matrix.
subroutine dorm2r(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
DORM2R multiplies a general matrix by the orthogonal matrix from a QR factorization determined by sge...
subroutine dtpqrt2(M, N, L, A, LDA, B, LDB, T, LDT, INFO)
DTPQRT2 computes a QR factorization of a real or complex "triangular-pentagonal" matrix,...
subroutine daxpy(N, DA, DX, INCX, DY, INCY)
DAXPY
subroutine dorgr2(M, N, K, A, LDA, TAU, WORK, INFO)
DORGR2 generates all or part of the orthogonal matrix Q from an RQ factorization determined by sgerqf...
1.8.16