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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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| subroutine | zggsvp (JOBU, JOBV, JOBQ, M, P, N, A, LDA, B, LDB, TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, IWORK, RWORK, TAU, WORK, INFO) |
| | ZGGSVP More...
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| subroutine | zlatzm (SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK) |
| | ZLATZM More...
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| subroutine | ztzrqf (M, N, A, LDA, TAU, INFO) |
| | ZTZRQF More...
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| subroutine | zbbcsd (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, RWORK, LRWORK, INFO) |
| | ZBBCSD More...
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| subroutine | zbdsqr (UPLO, N, NCVT, NRU, NCC, D, E, VT, LDVT, U, LDU, C, LDC, RWORK, INFO) |
| | ZBDSQR More...
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| subroutine | zgghd3 (COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, WORK, LWORK, INFO) |
| | ZGGHD3 More...
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| subroutine | zgghrd (COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, INFO) |
| | ZGGHRD More...
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| subroutine | zggqrf (N, M, P, A, LDA, TAUA, B, LDB, TAUB, WORK, LWORK, INFO) |
| | ZGGQRF More...
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| subroutine | zggrqf (M, P, N, A, LDA, TAUA, B, LDB, TAUB, WORK, LWORK, INFO) |
| | ZGGRQF More...
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| subroutine | zggsvp3 (JOBU, JOBV, JOBQ, M, P, N, A, LDA, B, LDB, TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, IWORK, RWORK, TAU, WORK, LWORK, INFO) |
| | ZGGSVP3 More...
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| subroutine | zgsvj0 (JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) |
| | ZGSVJ0 pre-processor for the routine zgesvj. More...
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| subroutine | zgsvj1 (JOBV, M, N, N1, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) |
| | ZGSVJ1 pre-processor for the routine zgesvj, applies Jacobi rotations targeting only particular pivots. More...
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| subroutine | zhbgst (VECT, UPLO, N, KA, KB, AB, LDAB, BB, LDBB, X, LDX, WORK, RWORK, INFO) |
| | ZHBGST More...
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| subroutine | zhbtrd (VECT, UPLO, N, KD, AB, LDAB, D, E, Q, LDQ, WORK, INFO) |
| | ZHBTRD More...
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| subroutine | zhetrd_hb2st (STAGE1, VECT, UPLO, N, KD, AB, LDAB, D, E, HOUS, LHOUS, WORK, LWORK, INFO) |
| | ZHETRD_HB2ST reduces a complex Hermitian band matrix A to real symmetric tridiagonal form T More...
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| subroutine | zhfrk (TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C) |
| | ZHFRK performs a Hermitian rank-k operation for matrix in RFP format. More...
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| subroutine | zhpcon (UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO) |
| | ZHPCON More...
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| subroutine | zhpgst (ITYPE, UPLO, N, AP, BP, INFO) |
| | ZHPGST More...
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| subroutine | zhprfs (UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | ZHPRFS More...
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| subroutine | zhptrd (UPLO, N, AP, D, E, TAU, INFO) |
| | ZHPTRD More...
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| subroutine | zhptrf (UPLO, N, AP, IPIV, INFO) |
| | ZHPTRF More...
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| subroutine | zhptri (UPLO, N, AP, IPIV, WORK, INFO) |
| | ZHPTRI More...
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| subroutine | zhptrs (UPLO, N, NRHS, AP, IPIV, B, LDB, INFO) |
| | ZHPTRS More...
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| subroutine | zhsein (SIDE, EIGSRC, INITV, SELECT, N, H, LDH, W, VL, LDVL, VR, LDVR, MM, M, WORK, RWORK, IFAILL, IFAILR, INFO) |
| | ZHSEIN More...
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| subroutine | zhseqr (JOB, COMPZ, N, ILO, IHI, H, LDH, W, Z, LDZ, WORK, LWORK, INFO) |
| | ZHSEQR More...
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| subroutine | zla_lin_berr (N, NZ, NRHS, RES, AYB, BERR) |
| | ZLA_LIN_BERR computes a component-wise relative backward error. More...
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| subroutine | zla_wwaddw (N, X, Y, W) |
| | ZLA_WWADDW adds a vector into a doubled-single vector. More...
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| subroutine | zlaed0 (QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS, RWORK, IWORK, INFO) |
| | ZLAED0 used by sstedc. Computes all eigenvalues and corresponding eigenvectors of an unreduced symmetric tridiagonal matrix using the divide and conquer method. More...
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| subroutine | zlaed7 (N, CUTPNT, QSIZ, TLVLS, CURLVL, CURPBM, D, Q, LDQ, RHO, INDXQ, QSTORE, QPTR, PRMPTR, PERM, GIVPTR, GIVCOL, GIVNUM, WORK, RWORK, IWORK, INFO) |
| | ZLAED7 used by sstedc. Computes the updated eigensystem of a diagonal matrix after modification by a rank-one symmetric matrix. Used when the original matrix is dense. More...
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| subroutine | zlaed8 (K, N, QSIZ, Q, LDQ, D, RHO, CUTPNT, Z, DLAMDA, Q2, LDQ2, W, INDXP, INDX, INDXQ, PERM, GIVPTR, GIVCOL, GIVNUM, INFO) |
| | ZLAED8 used by sstedc. Merges eigenvalues and deflates secular equation. Used when the original matrix is dense. More...
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| subroutine | zlals0 (ICOMPQ, NL, NR, SQRE, NRHS, B, LDB, BX, LDBX, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, POLES, DIFL, DIFR, Z, K, C, S, RWORK, INFO) |
| | ZLALS0 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 | zlalsa (ICOMPQ, SMLSIZ, N, NRHS, B, LDB, BX, LDBX, U, LDU, VT, K, DIFL, DIFR, Z, POLES, GIVPTR, GIVCOL, LDGCOL, PERM, GIVNUM, C, S, RWORK, IWORK, INFO) |
| | ZLALSA computes the SVD of the coefficient matrix in compact form. Used by sgelsd. More...
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| subroutine | zlalsd (UPLO, SMLSIZ, N, NRHS, D, E, B, LDB, RCOND, RANK, WORK, RWORK, IWORK, INFO) |
| | ZLALSD uses the singular value decomposition of A to solve the least squares problem. More...
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| double precision function | zlanhf (NORM, TRANSR, UPLO, N, A, WORK) |
| | ZLANHF returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a Hermitian matrix in RFP format. More...
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| subroutine | zlarscl2 (M, N, D, X, LDX) |
| | ZLARSCL2 performs reciprocal diagonal scaling on a vector. More...
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| subroutine | zlarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) |
| | ZLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix. More...
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| subroutine | zlarzb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK) |
| | ZLARZB applies a block reflector or its conjugate-transpose to a general matrix. More...
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| subroutine | zlarzt (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) |
| | ZLARZT forms the triangular factor T of a block reflector H = I - vtvH. More...
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| subroutine | zlascl2 (M, N, D, X, LDX) |
| | ZLASCL2 performs diagonal scaling on a vector. More...
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| subroutine | zlatrz (M, N, L, A, LDA, TAU, WORK) |
| | ZLATRZ factors an upper trapezoidal matrix by means of unitary transformations. More...
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| subroutine | zpbcon (UPLO, N, KD, AB, LDAB, ANORM, RCOND, WORK, RWORK, INFO) |
| | ZPBCON More...
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| subroutine | zpbequ (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, INFO) |
| | ZPBEQU More...
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| subroutine | zpbrfs (UPLO, N, KD, NRHS, AB, LDAB, AFB, LDAFB, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | ZPBRFS More...
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| subroutine | zpbstf (UPLO, N, KD, AB, LDAB, INFO) |
| | ZPBSTF More...
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| subroutine | zpbtf2 (UPLO, N, KD, AB, LDAB, INFO) |
| | ZPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (unblocked algorithm). More...
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| subroutine | zpbtrf (UPLO, N, KD, AB, LDAB, INFO) |
| | ZPBTRF More...
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| subroutine | zpbtrs (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO) |
| | ZPBTRS More...
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| subroutine | zpftrf (TRANSR, UPLO, N, A, INFO) |
| | ZPFTRF More...
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| subroutine | zpftri (TRANSR, UPLO, N, A, INFO) |
| | ZPFTRI More...
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| subroutine | zpftrs (TRANSR, UPLO, N, NRHS, A, B, LDB, INFO) |
| | ZPFTRS More...
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| subroutine | zppcon (UPLO, N, AP, ANORM, RCOND, WORK, RWORK, INFO) |
| | ZPPCON More...
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| subroutine | zppequ (UPLO, N, AP, S, SCOND, AMAX, INFO) |
| | ZPPEQU More...
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| subroutine | zpprfs (UPLO, N, NRHS, AP, AFP, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | ZPPRFS More...
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| subroutine | zpptrf (UPLO, N, AP, INFO) |
| | ZPPTRF More...
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| subroutine | zpptri (UPLO, N, AP, INFO) |
| | ZPPTRI More...
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| subroutine | zpptrs (UPLO, N, NRHS, AP, B, LDB, INFO) |
| | ZPPTRS More...
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| subroutine | zpstf2 (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) |
| | ZPSTF2 computes the Cholesky factorization with complete pivoting of a complex Hermitian positive semidefinite matrix. More...
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| subroutine | zpstrf (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) |
| | ZPSTRF computes the Cholesky factorization with complete pivoting of a complex Hermitian positive semidefinite matrix. More...
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| subroutine | zspcon (UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO) |
| | ZSPCON More...
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| subroutine | zsprfs (UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | ZSPRFS More...
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| subroutine | zsptrf (UPLO, N, AP, IPIV, INFO) |
| | ZSPTRF More...
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| subroutine | zsptri (UPLO, N, AP, IPIV, WORK, INFO) |
| | ZSPTRI More...
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| subroutine | zsptrs (UPLO, N, NRHS, AP, IPIV, B, LDB, INFO) |
| | ZSPTRS More...
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| subroutine | zstedc (COMPZ, N, D, E, Z, LDZ, WORK, LWORK, RWORK, LRWORK, IWORK, LIWORK, INFO) |
| | ZSTEDC More...
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| subroutine | zstegr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, IWORK, LIWORK, INFO) |
| | ZSTEGR More...
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| subroutine | zstein (N, D, E, M, W, IBLOCK, ISPLIT, Z, LDZ, WORK, IWORK, IFAIL, INFO) |
| | ZSTEIN More...
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| subroutine | zstemr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, M, W, Z, LDZ, NZC, ISUPPZ, TRYRAC, WORK, LWORK, IWORK, LIWORK, INFO) |
| | ZSTEMR More...
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| subroutine | zsteqr (COMPZ, N, D, E, Z, LDZ, WORK, INFO) |
| | ZSTEQR More...
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| subroutine | ztbcon (NORM, UPLO, DIAG, N, KD, AB, LDAB, RCOND, WORK, RWORK, INFO) |
| | ZTBCON More...
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| subroutine | ztbrfs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | ZTBRFS More...
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| subroutine | ztbtrs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, INFO) |
| | ZTBTRS More...
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| subroutine | ztfsm (TRANSR, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA, A, B, LDB) |
| | ZTFSM solves a matrix equation (one operand is a triangular matrix in RFP format). More...
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| subroutine | ztftri (TRANSR, UPLO, DIAG, N, A, INFO) |
| | ZTFTRI More...
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| subroutine | ztfttp (TRANSR, UPLO, N, ARF, AP, INFO) |
| | ZTFTTP copies a triangular matrix from the rectangular full packed format (TF) to the standard packed format (TP). More...
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| subroutine | ztfttr (TRANSR, UPLO, N, ARF, A, LDA, INFO) |
| | ZTFTTR copies a triangular matrix from the rectangular full packed format (TF) to the standard full format (TR). More...
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| subroutine | ztgsen (IJOB, WANTQ, WANTZ, SELECT, N, A, LDA, B, LDB, ALPHA, BETA, Q, LDQ, Z, LDZ, M, PL, PR, DIF, WORK, LWORK, IWORK, LIWORK, INFO) |
| | ZTGSEN More...
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| subroutine | ztgsja (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) |
| | ZTGSJA More...
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| subroutine | ztgsna (JOB, HOWMNY, SELECT, N, A, LDA, B, LDB, VL, LDVL, VR, LDVR, S, DIF, MM, M, WORK, LWORK, IWORK, INFO) |
| | ZTGSNA More...
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| subroutine | ztpcon (NORM, UPLO, DIAG, N, AP, RCOND, WORK, RWORK, INFO) |
| | ZTPCON More...
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| subroutine | ztpmqrt (SIDE, TRANS, M, N, K, L, NB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO) |
| | ZTPMQRT More...
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| subroutine | ztpqrt (M, N, L, NB, A, LDA, B, LDB, T, LDT, WORK, INFO) |
| | ZTPQRT More...
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| subroutine | ztpqrt2 (M, N, L, A, LDA, B, LDB, T, LDT, INFO) |
| | ZTPQRT2 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 | ztprfs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | ZTPRFS More...
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| subroutine | ztptri (UPLO, DIAG, N, AP, INFO) |
| | ZTPTRI More...
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| subroutine | ztptrs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, INFO) |
| | ZTPTRS More...
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| subroutine | ztpttf (TRANSR, UPLO, N, AP, ARF, INFO) |
| | ZTPTTF copies a triangular matrix from the standard packed format (TP) to the rectangular full packed format (TF). More...
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| subroutine | ztpttr (UPLO, N, AP, A, LDA, INFO) |
| | ZTPTTR copies a triangular matrix from the standard packed format (TP) to the standard full format (TR). More...
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| subroutine | ztrcon (NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, RWORK, INFO) |
| | ZTRCON More...
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| subroutine | ztrevc (SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO) |
| | ZTREVC More...
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| subroutine | ztrevc3 (SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, LWORK, RWORK, LRWORK, INFO) |
| | ZTREVC3 More...
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| subroutine | ztrexc (COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, INFO) |
| | ZTREXC More...
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| subroutine | ztrrfs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | ZTRRFS More...
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| subroutine | ztrsen (JOB, COMPQ, SELECT, N, T, LDT, Q, LDQ, W, M, S, SEP, WORK, LWORK, INFO) |
| | ZTRSEN More...
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| subroutine | ztrsna (JOB, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, S, SEP, MM, M, WORK, LDWORK, RWORK, INFO) |
| | ZTRSNA More...
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| subroutine | ztrti2 (UPLO, DIAG, N, A, LDA, INFO) |
| | ZTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). More...
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| subroutine | ztrtri (UPLO, DIAG, N, A, LDA, INFO) |
| | ZTRTRI More...
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| subroutine | ztrtrs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, INFO) |
| | ZTRTRS More...
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| subroutine | ztrttf (TRANSR, UPLO, N, A, LDA, ARF, INFO) |
| | ZTRTTF copies a triangular matrix from the standard full format (TR) to the rectangular full packed format (TF). More...
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| subroutine | ztrttp (UPLO, N, A, LDA, AP, INFO) |
| | ZTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP). More...
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| subroutine | ztzrzf (M, N, A, LDA, TAU, WORK, LWORK, INFO) |
| | ZTZRZF More...
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| subroutine | zunbdb (TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, PHI, TAUP1, TAUP2, TAUQ1, TAUQ2, WORK, LWORK, INFO) |
| | ZUNBDB More...
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| subroutine | zunbdb1 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO) |
| | ZUNBDB1 More...
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| subroutine | zunbdb2 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO) |
| | ZUNBDB2 More...
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| subroutine | zunbdb3 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO) |
| | ZUNBDB3 More...
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| subroutine | zunbdb4 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, PHANTOM, WORK, LWORK, INFO) |
| | ZUNBDB4 More...
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| subroutine | zunbdb5 (M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO) |
| | ZUNBDB5 More...
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| subroutine | zunbdb6 (M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO) |
| | ZUNBDB6 More...
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| recursive subroutine | zuncsd (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, RWORK, LRWORK, IWORK, INFO) |
| | ZUNCSD More...
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| subroutine | zuncsd2by1 (JOBU1, JOBU2, JOBV1T, M, P, Q, X11, LDX11, X21, LDX21, THETA, U1, LDU1, U2, LDU2, V1T, LDV1T, WORK, LWORK, RWORK, LRWORK, IWORK, INFO) |
| | ZUNCSD2BY1 More...
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| subroutine | zung2l (M, N, K, A, LDA, TAU, WORK, INFO) |
| | ZUNG2L generates all or part of the unitary matrix Q from a QL factorization determined by cgeqlf (unblocked algorithm). More...
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| subroutine | zung2r (M, N, K, A, LDA, TAU, WORK, INFO) |
| | ZUNG2R More...
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| subroutine | zunghr (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) |
| | ZUNGHR More...
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| subroutine | zungl2 (M, N, K, A, LDA, TAU, WORK, INFO) |
| | ZUNGL2 generates all or part of the unitary matrix Q from an LQ factorization determined by cgelqf (unblocked algorithm). More...
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| subroutine | zunglq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | ZUNGLQ More...
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| subroutine | zungql (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | ZUNGQL More...
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| subroutine | zungqr (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | ZUNGQR More...
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| subroutine | zungr2 (M, N, K, A, LDA, TAU, WORK, INFO) |
| | ZUNGR2 generates all or part of the unitary matrix Q from an RQ factorization determined by cgerqf (unblocked algorithm). More...
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| subroutine | zungrq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | ZUNGRQ More...
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| subroutine | zungtr (UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) |
| | ZUNGTR More...
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| subroutine | zunhr_col (M, N, NB, A, LDA, T, LDT, D, INFO) |
| | ZUNHR_COL More...
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| subroutine | zunm2l (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) |
| | ZUNM2L multiplies a general matrix by the unitary matrix from a QL factorization determined by cgeqlf (unblocked algorithm). More...
|
| |
| subroutine | zunm2r (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) |
| | ZUNM2R multiplies a general matrix by the unitary matrix from a QR factorization determined by cgeqrf (unblocked algorithm). More...
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| |
| subroutine | zunmbr (VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | ZUNMBR More...
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| |
| subroutine | zunmhr (SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | ZUNMHR More...
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| subroutine | zunml2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) |
| | ZUNML2 multiplies a general matrix by the unitary matrix from a LQ factorization determined by cgelqf (unblocked algorithm). More...
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| subroutine | zunmlq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | ZUNMLQ More...
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| |
| subroutine | zunmql (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | ZUNMQL More...
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| subroutine | zunmqr (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | ZUNMQR More...
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| subroutine | zunmr2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) |
| | ZUNMR2 multiplies a general matrix by the unitary matrix from a RQ factorization determined by cgerqf (unblocked algorithm). More...
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| subroutine | zunmr3 (SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO) |
| | ZUNMR3 multiplies a general matrix by the unitary matrix from a RZ factorization determined by ctzrzf (unblocked algorithm). More...
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| |
| subroutine | zunmrq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | ZUNMRQ More...
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| subroutine | zunmrz (SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | ZUNMRZ More...
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| subroutine | zunmtr (SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | ZUNMTR More...
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| subroutine | zupgtr (UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) |
| | ZUPGTR More...
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| subroutine | zupmtr (SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) |
| | ZUPMTR More...
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| |
This is the group of complex16 other Computational routines
subroutine zunbdb6(M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO)
ZUNBDB6
subroutine zlarzt(DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT)
ZLARZT forms the triangular factor T of a block reflector H = I - vtvH.
subroutine ztrexc(COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, INFO)
ZTREXC
subroutine zlapmt(FORWRD, M, N, X, LDX, K)
ZLAPMT performs a forward or backward permutation of the columns of a matrix.
subroutine zbbcsd(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, RWORK, LRWORK, INFO)
ZBBCSD
subroutine zlasr(SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA)
ZLASR applies a sequence of plane rotations to a general rectangular matrix.
subroutine zsptrs(UPLO, N, NRHS, AP, IPIV, B, LDB, INFO)
ZSPTRS
subroutine zlacgv(N, X, INCX)
ZLACGV conjugates a complex vector.
subroutine zgeru(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
ZGERU
subroutine zlapmr(FORWRD, M, N, X, LDX, K)
ZLAPMR rearranges rows of a matrix as specified by a permutation vector.
subroutine zunm2r(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
ZUNM2R multiplies a general matrix by the unitary matrix from a QR factorization determined by cgeqrf...
subroutine zlaqr0(WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO)
ZLAQR0 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur de...
subroutine dlarrr(N, D, E, INFO)
DLARRR performs tests to decide whether the symmetric tridiagonal matrix T warrants expensive computa...
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.
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 zlapll(N, X, INCX, Y, INCY, SSMIN)
ZLAPLL measures the linear dependence of two vectors.
subroutine dlaed9(K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W, S, LDS, INFO)
DLAED9 used by sstedc. Finds the roots of the secular equation and updates the eigenvectors....
subroutine zpotf2(UPLO, N, A, LDA, INFO)
ZPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblock...
double precision function zlantb(NORM, UPLO, DIAG, N, K, AB, LDAB, WORK)
ZLANTB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine zungr2(M, N, K, A, LDA, TAU, WORK, INFO)
ZUNGR2 generates all or part of the unitary matrix Q from an RQ factorization determined by cgerqf (u...
subroutine zaxpy(N, ZA, ZX, INCX, ZY, INCY)
ZAXPY
subroutine zgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
ZGEMV
subroutine zlauum(UPLO, N, A, LDA, INFO)
ZLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked...
subroutine ztrsv(UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
ZTRSV
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 zhb2st_kernels(UPLO, WANTZ, TTYPE, ST, ED, SWEEP, N, NB, IB, A, LDA, V, TAU, LDVT, WORK)
ZHB2ST_KERNELS
subroutine zunmr2(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
ZUNMR2 multiplies a general matrix by the unitary matrix from a RQ factorization determined by cgerqf...
subroutine ztrsyl(TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, SCALE, INFO)
ZTRSYL
integer function idamax(N, DX, INCX)
IDAMAX
double precision function zlange(NORM, M, N, A, LDA, WORK)
ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
subroutine dlartg(F, G, CS, SN, R)
DLARTG generates a plane rotation with real cosine and real sine.
subroutine zlarft(DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT)
ZLARFT forms the triangular factor T of a block reflector H = I - vtvH
complex *16 function zdotu(N, ZX, INCX, ZY, INCY)
ZDOTU
double precision function zlanhf(NORM, TRANSR, UPLO, N, A, WORK)
ZLANHF returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine dlamrg(N1, N2, A, DTRD1, DTRD2, INDEX)
DLAMRG creates a permutation list to merge the entries of two independently sorted sets into a single...
subroutine zlarf(SIDE, M, N, V, INCV, TAU, C, LDC, WORK)
ZLARF applies an elementary reflector to a general rectangular matrix.
complex *16 function zdotc(N, ZX, INCX, ZY, INCY)
ZDOTC
subroutine zlaed8(K, N, QSIZ, Q, LDQ, D, RHO, CUTPNT, Z, DLAMDA, Q2, LDQ2, W, INDXP, INDX, INDXQ, PERM, GIVPTR, GIVCOL, GIVNUM, INFO)
ZLAED8 used by sstedc. Merges eigenvalues and deflates secular equation. Used when the original matri...
double precision function dznrm2(N, X, INCX)
DZNRM2
subroutine zunml2(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
ZUNML2 multiplies a general matrix by the unitary matrix from a LQ factorization determined by cgelqf...
subroutine zhpr2(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)
ZHPR2
subroutine ztrsm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
ZTRSM
subroutine zlahqr(WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, INFO)
ZLAHQR computes the eigenvalues and Schur factorization of an upper Hessenberg matrix,...
subroutine zgeqr2(M, N, A, LDA, TAU, WORK, INFO)
ZGEQR2 computes the QR factorization of a general rectangular matrix using an unblocked algorithm.
subroutine ztpqrt2(M, N, L, A, LDA, B, LDB, T, LDT, INFO)
ZTPQRT2 computes a QR factorization of a real or complex "triangular-pentagonal" matrix,...
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 s...
subroutine dlaev2(A, B, C, RT1, RT2, CS1, SN1)
DLAEV2 computes the eigenvalues and eigenvectors of a 2-by-2 symmetric/Hermitian matrix.
subroutine zpstf2(UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO)
ZPSTF2 computes the Cholesky factorization with complete pivoting of a complex Hermitian positive sem...
subroutine zlassq(N, X, INCX, SCALE, SUMSQ)
ZLASSQ updates a sum of squares represented in scaled form.
subroutine zgeqp3(M, N, A, LDA, JPVT, TAU, WORK, LWORK, RWORK, INFO)
ZGEQP3
logical function disnan(DIN)
DISNAN tests input for NaN.
subroutine zdscal(N, DA, ZX, INCX)
ZDSCAL
subroutine zlaed0(QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS, RWORK, IWORK, INFO)
ZLAED0 used by sstedc. Computes all eigenvalues and corresponding eigenvectors of an unreduced symmet...
subroutine zlarz(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK)
ZLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.
subroutine zung2r(M, N, K, A, LDA, TAU, WORK, INFO)
ZUNG2R
subroutine dlartgs(X, Y, SIGMA, CS, SN)
DLARTGS generates a plane rotation designed to introduce a bulge in implicit QR iteration for the bid...
subroutine zlatps(UPLO, TRANS, DIAG, NORMIN, N, AP, X, SCALE, CNORM, INFO)
ZLATPS solves a triangular system of equations with the matrix held in packed storage.
subroutine ztpsv(UPLO, TRANS, DIAG, N, AP, X, INCX)
ZTPSV
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...
subroutine ztptri(UPLO, DIAG, N, AP, INFO)
ZTPTRI
subroutine zunmql(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
ZUNMQL
subroutine zgerq2(M, N, A, LDA, TAU, WORK, INFO)
ZGERQ2 computes the RQ factorization of a general rectangular matrix using an unblocked algorithm.
recursive subroutine zuncsd(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, RWORK, LRWORK, IWORK, INFO)
ZUNCSD
double precision function dlapy2(X, Y)
DLAPY2 returns sqrt(x2+y2).
subroutine ztgexc(WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, LDZ, IFST, ILST, INFO)
ZTGEXC
subroutine zlacn2(N, V, X, EST, KASE, ISAVE)
ZLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vec...
subroutine zlargv(N, X, INCX, Y, INCY, C, INCC)
ZLARGV generates a vector of plane rotations with real cosines and complex sines.
subroutine zunbdb(TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, PHI, TAUP1, TAUP2, TAUQ1, TAUQ2, WORK, LWORK, INFO)
ZUNBDB
subroutine dsterf(N, D, E, INFO)
DSTERF
subroutine zgerc(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
ZGERC
subroutine zunbdb2(M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO)
ZUNBDB2
subroutine zhbmv(UPLO, N, K, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
ZHBMV
subroutine zdrscl(N, SA, SX, INCX)
ZDRSCL multiplies a vector by the reciprocal of a real scalar.
subroutine zsteqr(COMPZ, N, D, E, Z, LDZ, WORK, INFO)
ZSTEQR
subroutine zcopy(N, ZX, INCX, ZY, INCY)
ZCOPY
subroutine zgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
ZGEMM
subroutine zlaed7(N, CUTPNT, QSIZ, TLVLS, CURLVL, CURPBM, D, Q, LDQ, RHO, INDXQ, QSTORE, QPTR, PRMPTR, PERM, GIVPTR, GIVCOL, GIVNUM, WORK, RWORK, IWORK, INFO)
ZLAED7 used by sstedc. Computes the updated eigensystem of a diagonal matrix after modification by a ...
subroutine ztgsyl(TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, DIF, WORK, LWORK, IWORK, INFO)
ZTGSYL
subroutine zunmlq(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
ZUNMLQ
subroutine dcopy(N, DX, INCX, DY, INCY)
DCOPY
subroutine zgeqpf(M, N, A, LDA, JPVT, TAU, WORK, RWORK, INFO)
ZGEQPF
subroutine dsteqr(COMPZ, N, D, E, Z, LDZ, WORK, INFO)
DSTEQR
subroutine zherk(UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC)
ZHERK
subroutine zlartv(N, X, INCX, Y, INCY, C, S, INCC)
ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a p...
subroutine zlatrs(UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE, CNORM, INFO)
ZLATRS solves a triangular system of equations with the scale factor set to prevent overflow.
integer function izamax(N, ZX, INCX)
IZAMAX
double precision function dnrm2(N, X, INCX)
DNRM2
subroutine zunmqr(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
ZUNMQR
subroutine zlaset(UPLO, M, N, ALPHA, BETA, A, LDA)
ZLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
subroutine zpbtrs(UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
ZPBTRS
subroutine dlasdt(N, LVL, ND, INODE, NDIML, NDIMR, MSUB)
DLASDT creates a tree of subproblems for bidiagonal divide and conquer. Used by sbdsdc.
subroutine zgerqf(M, N, A, LDA, TAU, WORK, LWORK, INFO)
ZGERQF
subroutine dlas2(F, G, H, SSMIN, SSMAX)
DLAS2 computes singular values of a 2-by-2 triangular matrix.
subroutine zlascl(TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO)
ZLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.
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 dlasq1(N, D, E, WORK, INFO)
DLASQ1 computes the singular values of a real square bidiagonal matrix. Used by sbdsqr.
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 ztbmv(UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX)
ZTBMV
subroutine dlarnv(IDIST, ISEED, N, X)
DLARNV returns a vector of random numbers from a uniform or normal distribution.
subroutine ztfsm(TRANSR, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA, A, B, LDB)
ZTFSM solves a matrix equation (one operand is a triangular matrix in RFP format).
subroutine zlarrv(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)
ZLARRV computes the eigenvectors of the tridiagonal matrix T = L D LT given L, D and the eigenvalues ...
subroutine zpbtf2(UPLO, N, KD, AB, LDAB, INFO)
ZPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (un...
subroutine ztpmv(UPLO, TRANS, DIAG, N, AP, X, INCX)
ZTPMV
subroutine zung2l(M, N, K, A, LDA, TAU, WORK, INFO)
ZUNG2L generates all or part of the unitary matrix Q from a QL factorization determined by cgeqlf (un...
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 zungqr(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
ZUNGQR
subroutine zlacpy(UPLO, M, N, A, LDA, B, LDB)
ZLACPY copies all or part of one two-dimensional array to another.
subroutine zrot(N, CX, INCX, CY, INCY, C, S)
ZROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.
subroutine dgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
DGEMM
double precision function dlamc3(A, B)
DLAMC3
subroutine ztrtri(UPLO, DIAG, N, A, LDA, INFO)
ZTRTRI
subroutine zlags2(UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ)
ZLAGS2
subroutine xerbla(SRNAME, INFO)
XERBLA
subroutine zhpmv(UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY)
ZHPMV
double precision function dzasum(N, ZX, INCX)
DZASUM
subroutine zstemr(JOBZ, RANGE, N, D, E, VL, VU, IL, IU, M, W, Z, LDZ, NZC, ISUPPZ, TRYRAC, WORK, LWORK, IWORK, LIWORK, INFO)
ZSTEMR
subroutine zunbdb5(M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO)
ZUNBDB5
logical function lsame(CA, CB)
LSAME
subroutine zswap(N, ZX, INCX, ZY, INCY)
ZSWAP
subroutine ztftri(TRANSR, UPLO, DIAG, N, A, INFO)
ZTFTRI
subroutine zlaunhr_col_getrfnp(M, N, A, LDA, D, INFO)
ZLAUNHR_COL_GETRFNP
subroutine zspr(UPLO, N, ALPHA, X, INCX, AP)
ZSPR performs the symmetrical rank-1 update of a complex symmetric packed matrix.
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 zunglq(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
ZUNGLQ
subroutine zlatrz(M, N, L, A, LDA, TAU, WORK)
ZLATRZ factors an upper trapezoidal matrix by means of unitary transformations.
subroutine zgeqrf(M, N, A, LDA, TAU, WORK, LWORK, INFO)
ZGEQRF VARIANT: left-looking Level 3 BLAS of the algorithm.
double precision function zlantp(NORM, UPLO, DIAG, N, AP, WORK)
ZLANTP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine zhptrs(UPLO, N, NRHS, AP, IPIV, B, LDB, INFO)
ZHPTRS
subroutine ztrmm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
ZTRMM
subroutine zungl2(M, N, K, A, LDA, TAU, WORK, INFO)
ZUNGL2 generates all or part of the unitary matrix Q from an LQ factorization determined by cgelqf (u...
subroutine dstedc(COMPZ, N, D, E, Z, LDZ, WORK, LWORK, IWORK, LIWORK, INFO)
DSTEDC
subroutine zunm2l(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
ZUNM2L multiplies a general matrix by the unitary matrix from a QL factorization determined by cgeqlf...
subroutine dgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
DGEMV
subroutine zhpr(UPLO, N, ALPHA, X, INCX, AP)
ZHPR
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 zlaein(RIGHTV, NOINIT, N, H, LDH, W, V, B, LDB, RWORK, EPS3, SMLNUM, INFO)
ZLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by inverse iterat...
double precision function zlantr(NORM, UPLO, DIAG, M, N, A, LDA, WORK)
ZLANTR returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine zlarfg(N, ALPHA, X, INCX, TAU)
ZLARFG generates an elementary reflector (Householder matrix).
subroutine zspmv(UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY)
ZSPMV computes a matrix-vector product for complex vectors using a complex symmetric packed matrix
subroutine zlarfgp(N, ALPHA, X, INCX, TAU)
ZLARFGP generates an elementary reflector (Householder matrix) with non-negative beta.
subroutine dlasv2(F, G, H, SSMIN, SSMAX, SNR, CSR, SNL, CSL)
DLASV2 computes the singular value decomposition of a 2-by-2 triangular matrix.
subroutine dlabad(SMALL, LARGE)
DLABAD
double precision function zlanhs(NORM, N, A, LDA, WORK)
ZLANHS returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
subroutine zunmr3(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO)
ZUNMR3 multiplies a general matrix by the unitary matrix from a RZ factorization determined by ctzrzf...
subroutine zher(UPLO, N, ALPHA, X, INCX, A, LDA)
ZHER
integer function ilaenv(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
subroutine zunbdb3(M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO)
ZUNBDB3
subroutine zunbdb1(M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO)
ZUNBDB1
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 zpptrs(UPLO, N, NRHS, AP, B, LDB, INFO)
ZPPTRS
subroutine zunm22(SIDE, TRANS, M, N, N1, N2, Q, LDQ, C, LDC, WORK, LWORK, INFO)
ZUNM22 multiplies a general matrix by a banded unitary matrix.
subroutine ztrti2(UPLO, DIAG, N, A, LDA, INFO)
ZTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).
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...
integer function ilaenv2stage(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV2STAGE
subroutine ztrmv(UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
ZTRMV
subroutine zlartg(F, G, CS, SN, R)
ZLARTG generates a plane rotation with real cosine and complex sine.
subroutine zungql(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
ZUNGQL
subroutine zpotrf(UPLO, N, A, LDA, INFO)
ZPOTRF VARIANT: right looking block version of the algorithm, calling Level 3 BLAS.
subroutine zunmrq(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
ZUNMRQ
subroutine zgghrd(COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, INFO)
ZGGHRD
subroutine zlatbs(UPLO, TRANS, DIAG, NORMIN, N, KD, AB, LDAB, X, SCALE, CNORM, INFO)
ZLATBS solves a triangular banded system of equations.
subroutine zscal(N, ZA, ZX, INCX)
ZSCAL
subroutine dscal(N, DA, DX, INCX)
DSCAL
subroutine zunbdb4(M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, PHANTOM, WORK, LWORK, INFO)
ZUNBDB4
subroutine dlasrt(ID, N, D, INFO)
DLASRT sorts numbers in increasing or decreasing order.
subroutine zlalsa(ICOMPQ, SMLSIZ, N, NRHS, B, LDB, BX, LDBX, U, LDU, VT, K, DIFL, DIFR, Z, POLES, GIVPTR, GIVCOL, LDGCOL, PERM, GIVNUM, C, S, RWORK, IWORK, INFO)
ZLALSA computes the SVD of the coefficient matrix in compact form. Used by sgelsd.
subroutine dlaeda(N, TLVLS, CURLVL, CURPBM, PRMPTR, PERM, GIVPTR, GIVCOL, GIVNUM, Q, QPTR, Z, ZTEMP, INFO)
DLAEDA used by sstedc. Computes the Z vector determining the rank-one modification of the diagonal ma...
subroutine zdrot(N, CX, INCX, CY, INCY, C, S)
ZDROT
subroutine zlarzb(SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK)
ZLARZB applies a block reflector or its conjugate-transpose to a general matrix.
double precision function dlamch(CMACH)
DLAMCH
subroutine dlae2(A, B, C, RT1, RT2)
DLAE2 computes the eigenvalues of a 2-by-2 symmetric matrix.
subroutine zlals0(ICOMPQ, NL, NR, SQRE, NRHS, B, LDB, BX, LDBX, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, POLES, DIFL, DIFR, Z, K, C, S, RWORK, INFO)
ZLALS0 applies back multiplying factors in solving the least squares problem using divide and conquer...
subroutine ztbsv(UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX)
ZTBSV
subroutine zlacrm(M, N, A, LDA, B, LDB, C, LDC, RWORK)
ZLACRM multiplies a complex matrix by a square real matrix.
1.8.16