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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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| subroutine | cbbcsd (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) |
| | CBBCSD More...
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| subroutine | cbdsqr (UPLO, N, NCVT, NRU, NCC, D, E, VT, LDVT, U, LDU, C, LDC, RWORK, INFO) |
| | CBDSQR More...
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| subroutine | cgghd3 (COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, WORK, LWORK, INFO) |
| | CGGHD3 More...
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| subroutine | cgghrd (COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, INFO) |
| | CGGHRD More...
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| subroutine | cggqrf (N, M, P, A, LDA, TAUA, B, LDB, TAUB, WORK, LWORK, INFO) |
| | CGGQRF More...
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| subroutine | cggrqf (M, P, N, A, LDA, TAUA, B, LDB, TAUB, WORK, LWORK, INFO) |
| | CGGRQF More...
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| subroutine | cggsvp3 (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) |
| | CGGSVP3 More...
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| subroutine | cgsvj0 (JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) |
| | CGSVJ0 pre-processor for the routine cgesvj. More...
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| subroutine | cgsvj1 (JOBV, M, N, N1, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) |
| | CGSVJ1 pre-processor for the routine cgesvj, applies Jacobi rotations targeting only particular pivots. More...
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| subroutine | chbgst (VECT, UPLO, N, KA, KB, AB, LDAB, BB, LDBB, X, LDX, WORK, RWORK, INFO) |
| | CHBGST More...
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| subroutine | chbtrd (VECT, UPLO, N, KD, AB, LDAB, D, E, Q, LDQ, WORK, INFO) |
| | CHBTRD More...
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| subroutine | chetrd_hb2st (STAGE1, VECT, UPLO, N, KD, AB, LDAB, D, E, HOUS, LHOUS, WORK, LWORK, INFO) |
| | CHBTRD_HB2ST reduces a complex Hermitian band matrix A to real symmetric tridiagonal form T More...
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| subroutine | chfrk (TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C) |
| | CHFRK performs a Hermitian rank-k operation for matrix in RFP format. More...
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| subroutine | chpcon (UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO) |
| | CHPCON More...
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| subroutine | chpgst (ITYPE, UPLO, N, AP, BP, INFO) |
| | CHPGST More...
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| subroutine | chprfs (UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | CHPRFS More...
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| subroutine | chptrd (UPLO, N, AP, D, E, TAU, INFO) |
| | CHPTRD More...
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| subroutine | chptrf (UPLO, N, AP, IPIV, INFO) |
| | CHPTRF More...
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| subroutine | chptri (UPLO, N, AP, IPIV, WORK, INFO) |
| | CHPTRI More...
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| subroutine | chptrs (UPLO, N, NRHS, AP, IPIV, B, LDB, INFO) |
| | CHPTRS More...
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| subroutine | chsein (SIDE, EIGSRC, INITV, SELECT, N, H, LDH, W, VL, LDVL, VR, LDVR, MM, M, WORK, RWORK, IFAILL, IFAILR, INFO) |
| | CHSEIN More...
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| subroutine | chseqr (JOB, COMPZ, N, ILO, IHI, H, LDH, W, Z, LDZ, WORK, LWORK, INFO) |
| | CHSEQR More...
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| subroutine | cla_lin_berr (N, NZ, NRHS, RES, AYB, BERR) |
| | CLA_LIN_BERR computes a component-wise relative backward error. More...
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| subroutine | cla_wwaddw (N, X, Y, W) |
| | CLA_WWADDW adds a vector into a doubled-single vector. More...
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| subroutine | claed0 (QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS, RWORK, IWORK, INFO) |
| | CLAED0 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 | claed7 (N, CUTPNT, QSIZ, TLVLS, CURLVL, CURPBM, D, Q, LDQ, RHO, INDXQ, QSTORE, QPTR, PRMPTR, PERM, GIVPTR, GIVCOL, GIVNUM, WORK, RWORK, IWORK, INFO) |
| | CLAED7 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 | claed8 (K, N, QSIZ, Q, LDQ, D, RHO, CUTPNT, Z, DLAMDA, Q2, LDQ2, W, INDXP, INDX, INDXQ, PERM, GIVPTR, GIVCOL, GIVNUM, INFO) |
| | CLAED8 used by sstedc. Merges eigenvalues and deflates secular equation. Used when the original matrix is dense. More...
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| subroutine | clals0 (ICOMPQ, NL, NR, SQRE, NRHS, B, LDB, BX, LDBX, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, POLES, DIFL, DIFR, Z, K, C, S, RWORK, INFO) |
| | CLALS0 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 | clalsa (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) |
| | CLALSA computes the SVD of the coefficient matrix in compact form. Used by sgelsd. More...
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| subroutine | clalsd (UPLO, SMLSIZ, N, NRHS, D, E, B, LDB, RCOND, RANK, WORK, RWORK, IWORK, INFO) |
| | CLALSD uses the singular value decomposition of A to solve the least squares problem. More...
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| real function | clanhf (NORM, TRANSR, UPLO, N, A, WORK) |
| | CLANHF 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 | clarscl2 (M, N, D, X, LDX) |
| | CLARSCL2 performs reciprocal diagonal scaling on a vector. More...
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| subroutine | clarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) |
| | CLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix. More...
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| subroutine | clarzb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK) |
| | CLARZB applies a block reflector or its conjugate-transpose to a general matrix. More...
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| subroutine | clarzt (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) |
| | CLARZT forms the triangular factor T of a block reflector H = I - vtvH. More...
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| subroutine | clascl2 (M, N, D, X, LDX) |
| | CLASCL2 performs diagonal scaling on a vector. More...
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| subroutine | clatrz (M, N, L, A, LDA, TAU, WORK) |
| | CLATRZ factors an upper trapezoidal matrix by means of unitary transformations. More...
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| subroutine | cpbcon (UPLO, N, KD, AB, LDAB, ANORM, RCOND, WORK, RWORK, INFO) |
| | CPBCON More...
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| subroutine | cpbequ (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, INFO) |
| | CPBEQU More...
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| subroutine | cpbrfs (UPLO, N, KD, NRHS, AB, LDAB, AFB, LDAFB, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | CPBRFS More...
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| subroutine | cpbstf (UPLO, N, KD, AB, LDAB, INFO) |
| | CPBSTF More...
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| subroutine | cpbtf2 (UPLO, N, KD, AB, LDAB, INFO) |
| | CPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (unblocked algorithm). More...
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| subroutine | cpbtrf (UPLO, N, KD, AB, LDAB, INFO) |
| | CPBTRF More...
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| subroutine | cpbtrs (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO) |
| | CPBTRS More...
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| subroutine | cpftrf (TRANSR, UPLO, N, A, INFO) |
| | CPFTRF More...
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| subroutine | cpftri (TRANSR, UPLO, N, A, INFO) |
| | CPFTRI More...
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| subroutine | cpftrs (TRANSR, UPLO, N, NRHS, A, B, LDB, INFO) |
| | CPFTRS More...
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| subroutine | cppcon (UPLO, N, AP, ANORM, RCOND, WORK, RWORK, INFO) |
| | CPPCON More...
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| subroutine | cppequ (UPLO, N, AP, S, SCOND, AMAX, INFO) |
| | CPPEQU More...
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| subroutine | cpprfs (UPLO, N, NRHS, AP, AFP, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | CPPRFS More...
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| subroutine | cpptrf (UPLO, N, AP, INFO) |
| | CPPTRF More...
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| subroutine | cpptri (UPLO, N, AP, INFO) |
| | CPPTRI More...
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| subroutine | cpptrs (UPLO, N, NRHS, AP, B, LDB, INFO) |
| | CPPTRS More...
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| subroutine | cpstf2 (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) |
| | CPSTF2 computes the Cholesky factorization with complete pivoting of complex Hermitian positive semidefinite matrix. More...
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| subroutine | cpstrf (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) |
| | CPSTRF computes the Cholesky factorization with complete pivoting of complex Hermitian positive semidefinite matrix. More...
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| subroutine | cspcon (UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO) |
| | CSPCON More...
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| subroutine | csprfs (UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | CSPRFS More...
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| subroutine | csptrf (UPLO, N, AP, IPIV, INFO) |
| | CSPTRF More...
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| subroutine | csptri (UPLO, N, AP, IPIV, WORK, INFO) |
| | CSPTRI More...
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| subroutine | csptrs (UPLO, N, NRHS, AP, IPIV, B, LDB, INFO) |
| | CSPTRS More...
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| subroutine | cstedc (COMPZ, N, D, E, Z, LDZ, WORK, LWORK, RWORK, LRWORK, IWORK, LIWORK, INFO) |
| | CSTEDC More...
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| subroutine | cstegr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, IWORK, LIWORK, INFO) |
| | CSTEGR More...
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| subroutine | cstein (N, D, E, M, W, IBLOCK, ISPLIT, Z, LDZ, WORK, IWORK, IFAIL, INFO) |
| | CSTEIN More...
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| subroutine | cstemr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, M, W, Z, LDZ, NZC, ISUPPZ, TRYRAC, WORK, LWORK, IWORK, LIWORK, INFO) |
| | CSTEMR More...
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| subroutine | csteqr (COMPZ, N, D, E, Z, LDZ, WORK, INFO) |
| | CSTEQR More...
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| subroutine | ctbcon (NORM, UPLO, DIAG, N, KD, AB, LDAB, RCOND, WORK, RWORK, INFO) |
| | CTBCON More...
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| subroutine | ctbrfs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | CTBRFS More...
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| subroutine | ctbtrs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, INFO) |
| | CTBTRS More...
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| subroutine | ctfsm (TRANSR, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA, A, B, LDB) |
| | CTFSM solves a matrix equation (one operand is a triangular matrix in RFP format). More...
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| subroutine | ctftri (TRANSR, UPLO, DIAG, N, A, INFO) |
| | CTFTRI More...
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| subroutine | ctfttp (TRANSR, UPLO, N, ARF, AP, INFO) |
| | CTFTTP copies a triangular matrix from the rectangular full packed format (TF) to the standard packed format (TP). More...
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| subroutine | ctfttr (TRANSR, UPLO, N, ARF, A, LDA, INFO) |
| | CTFTTR copies a triangular matrix from the rectangular full packed format (TF) to the standard full format (TR). More...
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| subroutine | ctgsen (IJOB, WANTQ, WANTZ, SELECT, N, A, LDA, B, LDB, ALPHA, BETA, Q, LDQ, Z, LDZ, M, PL, PR, DIF, WORK, LWORK, IWORK, LIWORK, INFO) |
| | CTGSEN More...
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| subroutine | ctgsja (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) |
| | CTGSJA More...
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| subroutine | ctgsna (JOB, HOWMNY, SELECT, N, A, LDA, B, LDB, VL, LDVL, VR, LDVR, S, DIF, MM, M, WORK, LWORK, IWORK, INFO) |
| | CTGSNA More...
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| subroutine | ctpcon (NORM, UPLO, DIAG, N, AP, RCOND, WORK, RWORK, INFO) |
| | CTPCON More...
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| subroutine | ctpmqrt (SIDE, TRANS, M, N, K, L, NB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO) |
| | CTPMQRT More...
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| subroutine | ctpqrt (M, N, L, NB, A, LDA, B, LDB, T, LDT, WORK, INFO) |
| | CTPQRT More...
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| subroutine | ctpqrt2 (M, N, L, A, LDA, B, LDB, T, LDT, INFO) |
| | CTPQRT2 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 | ctprfs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | CTPRFS More...
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| subroutine | ctptri (UPLO, DIAG, N, AP, INFO) |
| | CTPTRI More...
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| subroutine | ctptrs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, INFO) |
| | CTPTRS More...
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| subroutine | ctpttf (TRANSR, UPLO, N, AP, ARF, INFO) |
| | CTPTTF copies a triangular matrix from the standard packed format (TP) to the rectangular full packed format (TF). More...
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| subroutine | ctpttr (UPLO, N, AP, A, LDA, INFO) |
| | CTPTTR copies a triangular matrix from the standard packed format (TP) to the standard full format (TR). More...
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| subroutine | ctrcon (NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, RWORK, INFO) |
| | CTRCON More...
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| subroutine | ctrevc (SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO) |
| | CTREVC More...
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| subroutine | ctrevc3 (SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, LWORK, RWORK, LRWORK, INFO) |
| | CTREVC3 More...
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| subroutine | ctrexc (COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, INFO) |
| | CTREXC More...
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| subroutine | ctrrfs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | CTRRFS More...
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| subroutine | ctrsen (JOB, COMPQ, SELECT, N, T, LDT, Q, LDQ, W, M, S, SEP, WORK, LWORK, INFO) |
| | CTRSEN More...
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| subroutine | ctrsna (JOB, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, S, SEP, MM, M, WORK, LDWORK, RWORK, INFO) |
| | CTRSNA More...
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| subroutine | ctrti2 (UPLO, DIAG, N, A, LDA, INFO) |
| | CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). More...
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| subroutine | ctrtri (UPLO, DIAG, N, A, LDA, INFO) |
| | CTRTRI More...
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| subroutine | ctrtrs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, INFO) |
| | CTRTRS More...
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| subroutine | ctrttf (TRANSR, UPLO, N, A, LDA, ARF, INFO) |
| | CTRTTF copies a triangular matrix from the standard full format (TR) to the rectangular full packed format (TF). More...
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| subroutine | ctrttp (UPLO, N, A, LDA, AP, INFO) |
| | CTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP). More...
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| subroutine | ctzrzf (M, N, A, LDA, TAU, WORK, LWORK, INFO) |
| | CTZRZF More...
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| subroutine | cunbdb (TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, PHI, TAUP1, TAUP2, TAUQ1, TAUQ2, WORK, LWORK, INFO) |
| | CUNBDB More...
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| subroutine | cunbdb1 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO) |
| | CUNBDB1 More...
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| subroutine | cunbdb2 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO) |
| | CUNBDB2 More...
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| subroutine | cunbdb3 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO) |
| | CUNBDB3 More...
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| subroutine | cunbdb4 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, PHANTOM, WORK, LWORK, INFO) |
| | CUNBDB4 More...
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| subroutine | cunbdb5 (M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO) |
| | CUNBDB5 More...
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| subroutine | cunbdb6 (M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO) |
| | CUNBDB6 More...
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| recursive subroutine | cuncsd (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) |
| | CUNCSD More...
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| subroutine | cuncsd2by1 (JOBU1, JOBU2, JOBV1T, M, P, Q, X11, LDX11, X21, LDX21, THETA, U1, LDU1, U2, LDU2, V1T, LDV1T, WORK, LWORK, RWORK, LRWORK, IWORK, INFO) |
| | CUNCSD2BY1 More...
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| subroutine | cung2l (M, N, K, A, LDA, TAU, WORK, INFO) |
| | CUNG2L generates all or part of the unitary matrix Q from a QL factorization determined by cgeqlf (unblocked algorithm). More...
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| subroutine | cung2r (M, N, K, A, LDA, TAU, WORK, INFO) |
| | CUNG2R More...
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| subroutine | cunghr (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) |
| | CUNGHR More...
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| subroutine | cungl2 (M, N, K, A, LDA, TAU, WORK, INFO) |
| | CUNGL2 generates all or part of the unitary matrix Q from an LQ factorization determined by cgelqf (unblocked algorithm). More...
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| subroutine | cunglq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | CUNGLQ More...
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| subroutine | cungql (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | CUNGQL More...
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| subroutine | cungqr (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | CUNGQR More...
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| subroutine | cungr2 (M, N, K, A, LDA, TAU, WORK, INFO) |
| | CUNGR2 generates all or part of the unitary matrix Q from an RQ factorization determined by cgerqf (unblocked algorithm). More...
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| subroutine | cungrq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | CUNGRQ More...
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| subroutine | cungtr (UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) |
| | CUNGTR More...
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| subroutine | cunhr_col (M, N, NB, A, LDA, T, LDT, D, INFO) |
| | CUNHR_COL More...
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| subroutine | cunm22 (SIDE, TRANS, M, N, N1, N2, Q, LDQ, C, LDC, WORK, LWORK, INFO) |
| | CUNM22 multiplies a general matrix by a banded unitary matrix. More...
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| subroutine | cunm2l (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) |
| | CUNM2L multiplies a general matrix by the unitary matrix from a QL factorization determined by cgeqlf (unblocked algorithm). More...
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| subroutine | cunm2r (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) |
| | CUNM2R multiplies a general matrix by the unitary matrix from a QR factorization determined by cgeqrf (unblocked algorithm). More...
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| subroutine | cunmbr (VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | CUNMBR More...
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| subroutine | cunmhr (SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | CUNMHR More...
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| subroutine | cunml2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) |
| | CUNML2 multiplies a general matrix by the unitary matrix from a LQ factorization determined by cgelqf (unblocked algorithm). More...
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| subroutine | cunmlq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | CUNMLQ More...
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| subroutine | cunmql (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | CUNMQL More...
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| subroutine | cunmqr (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | CUNMQR More...
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| subroutine | cunmr2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) |
| | CUNMR2 multiplies a general matrix by the unitary matrix from a RQ factorization determined by cgerqf (unblocked algorithm). More...
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| subroutine | cunmr3 (SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO) |
| | CUNMR3 multiplies a general matrix by the unitary matrix from a RZ factorization determined by ctzrzf (unblocked algorithm). More...
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| subroutine | cunmrq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | CUNMRQ More...
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| subroutine | cunmrz (SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | CUNMRZ More...
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| subroutine | cunmtr (SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) |
| | CUNMTR More...
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| subroutine | cupgtr (UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) |
| | CUPGTR More...
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| subroutine | cupmtr (SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) |
| | CUPMTR More...
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| subroutine | cggsvp (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) |
| | CGGSVP More...
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| subroutine | clatzm (SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK) |
| | CLATZM More...
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| subroutine | ctzrqf (M, N, A, LDA, TAU, INFO) |
| | CTZRQF More...
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| 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. More...
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| subroutine | sorm22 (SIDE, TRANS, M, N, N1, N2, Q, LDQ, C, LDC, WORK, LWORK, INFO) |
| | SORM22 multiplies a general matrix by a banded orthogonal matrix. More...
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| 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. More...
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This is the group of complex other Computational routines
real function snrm2(N, X, INCX)
SNRM2
subroutine strmm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
STRMM
subroutine claein(RIGHTV, NOINIT, N, H, LDH, W, V, B, LDB, RWORK, EPS3, SMLNUM, INFO)
CLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by inverse iterat...
subroutine cspr(UPLO, N, ALPHA, X, INCX, AP)
CSPR performs the symmetrical rank-1 update of a complex symmetric packed matrix.
subroutine clalsa(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)
CLALSA computes the SVD of the coefficient matrix in compact form. Used by sgelsd.
subroutine slae2(A, B, C, RT1, RT2)
SLAE2 computes the eigenvalues of a 2-by-2 symmetric matrix.
real function clanhs(NORM, N, A, LDA, WORK)
CLANHS returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
real function clange(NORM, M, N, A, LDA, WORK)
CLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
subroutine clahqr(WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, INFO)
CLAHQR computes the eigenvalues and Schur factorization of an upper Hessenberg matrix,...
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,...
real function slamc3(A, B)
SLAMC3
subroutine slabad(SMALL, LARGE)
SLABAD
subroutine clarfg(N, ALPHA, X, INCX, TAU)
CLARFG generates an elementary reflector (Householder matrix).
subroutine cgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CGEMM
subroutine ctrexc(COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, INFO)
CTREXC
subroutine chb2st_kernels(UPLO, WANTZ, TTYPE, ST, ED, SWEEP, N, NB, IB, A, LDA, V, TAU, LDVT, WORK)
CHB2ST_KERNELS
subroutine cungr2(M, N, K, A, LDA, TAU, WORK, INFO)
CUNGR2 generates all or part of the unitary matrix Q from an RQ factorization determined by cgerqf (u...
subroutine clasr(SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA)
CLASR applies a sequence of plane rotations to a general rectangular matrix.
subroutine claunhr_col_getrfnp(M, N, A, LDA, D, INFO)
CLAUNHR_COL_GETRFNP
subroutine csscal(N, SA, CX, INCX)
CSSCAL
subroutine slarnv(IDIST, ISEED, N, X)
SLARNV returns a vector of random numbers from a uniform or normal distribution.
subroutine clatbs(UPLO, TRANS, DIAG, NORMIN, N, KD, AB, LDAB, X, SCALE, CNORM, INFO)
CLATBS solves a triangular banded system of equations.
subroutine slarrj(N, D, E2, IFIRST, ILAST, RTOL, OFFSET, W, WERR, WORK, IWORK, PIVMIN, SPDIAM, INFO)
SLARRJ performs refinement of the initial estimates of the eigenvalues of the matrix T.
subroutine clacrm(M, N, A, LDA, B, LDB, C, LDC, RWORK)
CLACRM multiplies a complex matrix by a square real matrix.
subroutine cpbtrs(UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
CPBTRS
subroutine ctrtri(UPLO, DIAG, N, A, LDA, INFO)
CTRTRI
subroutine slaed9(K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W, S, LDS, INFO)
SLAED9 used by sstedc. Finds the roots of the secular equation and updates the eigenvectors....
subroutine clapll(N, X, INCX, Y, INCY, SSMIN)
CLAPLL measures the linear dependence of two vectors.
subroutine csteqr(COMPZ, N, D, E, Z, LDZ, WORK, INFO)
CSTEQR
subroutine slas2(F, G, H, SSMIN, SSMAX)
SLAS2 computes singular values of a 2-by-2 triangular matrix.
subroutine slaev2(A, B, C, RT1, RT2, CS1, SN1)
SLAEV2 computes the eigenvalues and eigenvectors of a 2-by-2 symmetric/Hermitian matrix.
subroutine cgghrd(COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, INFO)
CGGHRD
subroutine clags2(UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ)
CLAGS2
subroutine slasdq(UPLO, SQRE, N, NCVT, NRU, NCC, D, E, VT, LDVT, U, LDU, C, LDC, WORK, INFO)
SLASDQ computes the SVD of a real bidiagonal matrix with diagonal d and off-diagonal e....
subroutine clarzb(SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK)
CLARZB applies a block reflector or its conjugate-transpose to a general matrix.
subroutine cunglq(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
CUNGLQ
subroutine csptrs(UPLO, N, NRHS, AP, IPIV, B, LDB, INFO)
CSPTRS
subroutine cher(UPLO, N, ALPHA, X, INCX, A, LDA)
CHER
subroutine cgerq2(M, N, A, LDA, TAU, WORK, INFO)
CGERQ2 computes the RQ factorization of a general rectangular matrix using an unblocked algorithm.
subroutine cunmqr(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
CUNMQR
subroutine clatrz(M, N, L, A, LDA, TAU, WORK)
CLATRZ factors an upper trapezoidal matrix by means of unitary transformations.
subroutine clarzt(DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT)
CLARZT forms the triangular factor T of a block reflector H = I - vtvH.
subroutine cunmlq(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
CUNMLQ
subroutine chpmv(UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY)
CHPMV
subroutine slagtf(N, A, LAMBDA, B, C, TOL, D, IN, INFO)
SLAGTF computes an LU factorization of a matrix T-λI, where T is a general tridiagonal matrix,...
subroutine clartv(N, X, INCX, Y, INCY, C, S, INCC)
CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a p...
subroutine cunbdb6(M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO)
CUNBDB6
subroutine claed7(N, CUTPNT, QSIZ, TLVLS, CURLVL, CURPBM, D, Q, LDQ, RHO, INDXQ, QSTORE, QPTR, PRMPTR, PERM, GIVPTR, GIVCOL, GIVNUM, WORK, RWORK, IWORK, INFO)
CLAED7 used by sstedc. Computes the updated eigensystem of a diagonal matrix after modification by a ...
subroutine ctftri(TRANSR, UPLO, DIAG, N, A, INFO)
CTFTRI
subroutine chbmv(UPLO, N, K, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
CHBMV
real function scnrm2(N, X, INCX)
SCNRM2
subroutine cungl2(M, N, K, A, LDA, TAU, WORK, INFO)
CUNGL2 generates all or part of the unitary matrix Q from an LQ factorization determined by cgelqf (u...
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 claed8(K, N, QSIZ, Q, LDQ, D, RHO, CUTPNT, Z, DLAMDA, Q2, LDQ2, W, INDXP, INDX, INDXQ, PERM, GIVPTR, GIVCOL, GIVNUM, INFO)
CLAED8 used by sstedc. Merges eigenvalues and deflates secular equation. Used when the original matri...
subroutine cunmr2(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
CUNMR2 multiplies a general matrix by the unitary matrix from a RQ factorization determined by cgerqf...
subroutine ctrsv(UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
CTRSV
subroutine ctfsm(TRANSR, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA, A, B, LDB)
CTFSM solves a matrix equation (one operand is a triangular matrix in RFP format).
subroutine slasda(ICOMPQ, SMLSIZ, N, SQRE, D, E, U, LDU, VT, K, DIFL, DIFR, Z, POLES, GIVPTR, GIVCOL, LDGCOL, PERM, GIVNUM, C, S, WORK, IWORK, INFO)
SLASDA computes the singular value decomposition (SVD) of a real upper bidiagonal matrix with diagona...
subroutine clarf(SIDE, M, N, V, INCV, TAU, C, LDC, WORK)
CLARF applies an elementary reflector to a general rectangular matrix.
subroutine ctrsm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
CTRSM
subroutine cung2l(M, N, K, A, LDA, TAU, WORK, INFO)
CUNG2L generates all or part of the unitary matrix Q from a QL factorization determined by cgeqlf (un...
subroutine ctrti2(UPLO, DIAG, N, A, LDA, INFO)
CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).
subroutine dtrmm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
DTRMM
subroutine cunbdb2(M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO)
CUNBDB2
subroutine cpotrf(UPLO, N, A, LDA, INFO)
CPOTRF
subroutine cgeqp3(M, N, A, LDA, JPVT, TAU, WORK, LWORK, RWORK, INFO)
CGEQP3
subroutine sgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
SGEMM
subroutine clatps(UPLO, TRANS, DIAG, NORMIN, N, AP, X, SCALE, CNORM, INFO)
CLATPS solves a triangular system of equations with the matrix held in packed storage.
subroutine clacgv(N, X, INCX)
CLACGV conjugates a complex vector.
complex function cdotu(N, CX, INCX, CY, INCY)
CDOTU
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 zgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
ZGEMM
real function slanst(NORM, N, D, E)
SLANST returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine sstedc(COMPZ, N, D, E, Z, LDZ, WORK, LWORK, IWORK, LIWORK, INFO)
SSTEDC
subroutine clacpy(UPLO, M, N, A, LDA, B, LDB)
CLACPY copies all or part of one two-dimensional array to another.
subroutine cherk(UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC)
CHERK
recursive subroutine cuncsd(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)
CUNCSD
subroutine classq(N, X, INCX, SCALE, SUMSQ)
CLASSQ updates a sum of squares represented in scaled form.
integer function isamax(N, SX, INCX)
ISAMAX
subroutine cunm2l(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
CUNM2L multiplies a general matrix by the unitary matrix from a QL factorization determined by cgeqlf...
subroutine slascl(TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO)
SLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.
subroutine sgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
SGEMV
subroutine cungqr(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
CUNGQR
subroutine cspmv(UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY)
CSPMV computes a matrix-vector product for complex vectors using a complex symmetric packed matrix
complex function cdotc(N, CX, INCX, CY, INCY)
CDOTC
subroutine slacpy(UPLO, M, N, A, LDA, B, LDB)
SLACPY copies all or part of one two-dimensional array to another.
subroutine cpstf2(UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO)
CPSTF2 computes the Cholesky factorization with complete pivoting of complex Hermitian positive semid...
logical function sisnan(SIN)
SISNAN tests input for NaN.
subroutine slasq1(N, D, E, WORK, INFO)
SLASQ1 computes the singular values of a real square bidiagonal matrix. Used by sbdsqr.
subroutine clapmr(FORWRD, M, N, X, LDX, K)
CLAPMR rearranges rows of a matrix as specified by a permutation vector.
subroutine clarfgp(N, ALPHA, X, INCX, TAU)
CLARFGP generates an elementary reflector (Householder matrix) with non-negative beta.
subroutine crot(N, CX, INCX, CY, INCY, C, S)
CROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.
subroutine clarrv(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)
CLARRV computes the eigenvectors of the tridiagonal matrix T = L D LT given L, D and the eigenvalues ...
real function clantb(NORM, UPLO, DIAG, N, K, AB, LDAB, WORK)
CLANTB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine ctrsyl(TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, SCALE, INFO)
CTRSYL
subroutine scopy(N, SX, INCX, SY, INCY)
SCOPY
subroutine clacn2(N, V, X, EST, KASE, ISAVE)
CLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vec...
subroutine csrscl(N, SA, SX, INCX)
CSRSCL multiplies a vector by the reciprocal of a real scalar.
subroutine ctpqrt2(M, N, L, A, LDA, B, LDB, T, LDT, INFO)
CTPQRT2 computes a QR factorization of a real or complex "triangular-pentagonal" matrix,...
subroutine ssterf(N, D, E, INFO)
SSTERF
subroutine ctrmv(UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
CTRMV
subroutine cscal(N, CA, CX, INCX)
CSCAL
real function clanhf(NORM, TRANSR, UPLO, N, A, WORK)
CLANHF returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine ctgsyl(TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, DIF, WORK, LWORK, IWORK, INFO)
CTGSYL
subroutine sscal(N, SA, SX, INCX)
SSCAL
subroutine chpr(UPLO, N, ALPHA, X, INCX, AP)
CHPR
subroutine ctptri(UPLO, DIAG, N, AP, INFO)
CTPTRI
real function clantp(NORM, UPLO, DIAG, N, AP, WORK)
CLANTP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine zlacpy(UPLO, M, N, A, LDA, B, LDB)
ZLACPY copies all or part of one two-dimensional array to another.
subroutine cunmrq(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
CUNMRQ
subroutine dgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
DGEMM
subroutine cunml2(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
CUNML2 multiplies a general matrix by the unitary matrix from a LQ factorization determined by cgelqf...
subroutine xerbla(SRNAME, INFO)
XERBLA
subroutine cgerqf(M, N, A, LDA, TAU, WORK, LWORK, INFO)
CGERQF
subroutine ctbmv(UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX)
CTBMV
subroutine clapmt(FORWRD, M, N, X, LDX, K)
CLAPMT performs a forward or backward permutation of the columns of a matrix.
subroutine ctpsv(UPLO, TRANS, DIAG, N, AP, X, INCX)
CTPSV
subroutine clargv(N, X, INCX, Y, INCY, C, INCC)
CLARGV generates a vector of plane rotations with real cosines and complex sines.
subroutine cstemr(JOBZ, RANGE, N, D, E, VL, VU, IL, IU, M, W, Z, LDZ, NZC, ISUPPZ, TRYRAC, WORK, LWORK, IWORK, LIWORK, INFO)
CSTEMR
subroutine slaeda(N, TLVLS, CURLVL, CURPBM, PRMPTR, PERM, GIVPTR, GIVCOL, GIVNUM, Q, QPTR, Z, ZTEMP, INFO)
SLAEDA used by sstedc. Computes the Z vector determining the rank-one modification of the diagonal ma...
subroutine cswap(N, CX, INCX, CY, INCY)
CSWAP
logical function lsame(CA, CB)
LSAME
real function slapy2(X, Y)
SLAPY2 returns sqrt(x2+y2).
subroutine cunm22(SIDE, TRANS, M, N, N1, N2, Q, LDQ, C, LDC, WORK, LWORK, INFO)
CUNM22 multiplies a general matrix by a banded unitary matrix.
subroutine chpr2(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)
CHPR2
subroutine slaset(UPLO, M, N, ALPHA, BETA, A, LDA)
SLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
subroutine clarft(DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT)
CLARFT forms the triangular factor T of a block reflector H = I - vtvH
subroutine cunmql(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
CUNMQL
subroutine claset(UPLO, M, N, ALPHA, BETA, A, LDA)
CLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
subroutine ztrmm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
ZTRMM
real function slamch(CMACH)
SLAMCH
subroutine ctbsv(UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX)
CTBSV
subroutine cunbdb5(M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO)
CUNBDB5
subroutine slasv2(F, G, H, SSMIN, SSMAX, SNR, CSR, SNL, CSL)
SLASV2 computes the singular value decomposition of a 2-by-2 triangular matrix.
subroutine clarfb(SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK)
CLARFB applies a block reflector or its conjugate-transpose to a general rectangular matrix.
subroutine cunmr3(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO)
CUNMR3 multiplies a general matrix by the unitary matrix from a RZ factorization determined by ctzrzf...
subroutine cungql(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
CUNGQL
subroutine cgeqr2(M, N, A, LDA, TAU, WORK, INFO)
CGEQR2 computes the QR factorization of a general rectangular matrix using an unblocked algorithm.
subroutine claed0(QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS, RWORK, IWORK, INFO)
CLAED0 used by sstedc. Computes all eigenvalues and corresponding eigenvectors of an unreduced symmet...
subroutine cgeqrf(M, N, A, LDA, TAU, WORK, LWORK, INFO)
CGEQRF
subroutine cung2r(M, N, K, A, LDA, TAU, WORK, INFO)
CUNG2R
subroutine cunm2r(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
CUNM2R multiplies a general matrix by the unitary matrix from a QR factorization determined by cgeqrf...
subroutine ctrmm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
CTRMM
subroutine clar2v(N, X, Y, Z, INCX, C, S, INCC)
CLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a s...
subroutine csrot(N, CX, INCX, CY, INCY, C, S)
CSROT
subroutine cgeqpf(M, N, A, LDA, JPVT, TAU, WORK, RWORK, INFO)
CGEQPF
subroutine ssteqr(COMPZ, N, D, E, Z, LDZ, WORK, INFO)
SSTEQR
subroutine cunbdb3(M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO)
CUNBDB3
subroutine ccopy(N, CX, INCX, CY, INCY)
CCOPY
real function scasum(N, CX, INCX)
SCASUM
subroutine slarrr(N, D, E, INFO)
SLARRR performs tests to decide whether the symmetric tridiagonal matrix T warrants expensive computa...
subroutine cpbtf2(UPLO, N, KD, AB, LDAB, INFO)
CPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (un...
subroutine slartg(F, G, CS, SN, R)
SLARTG generates a plane rotation with real cosine and real sine.
subroutine clartg(F, G, CS, SN, R)
CLARTG generates a plane rotation with real cosine and complex sine.
integer function ilaenv(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
subroutine slarrc(JOBT, N, VL, VU, D, E, PIVMIN, EIGCNT, LCNT, RCNT, INFO)
SLARRC computes the number of eigenvalues of the symmetric tridiagonal matrix.
subroutine clals0(ICOMPQ, NL, NR, SQRE, NRHS, B, LDB, BX, LDBX, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, POLES, DIFL, DIFR, Z, K, C, S, RWORK, INFO)
CLALS0 applies back multiplying factors in solving the least squares problem using divide and conquer...
subroutine caxpy(N, CA, CX, INCX, CY, INCY)
CAXPY
subroutine chptrs(UPLO, N, NRHS, AP, IPIV, B, LDB, INFO)
CHPTRS
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 de...
subroutine slamrg(N1, N2, A, STRD1, STRD2, INDEX)
SLAMRG creates a permutation list to merge the entries of two independently sorted sets into a single...
subroutine cpotf2(UPLO, N, A, LDA, INFO)
CPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblock...
subroutine cpptrs(UPLO, N, NRHS, AP, B, LDB, INFO)
CPPTRS
subroutine clauum(UPLO, N, A, LDA, INFO)
CLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked...
integer function ilaenv2stage(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV2STAGE
subroutine ctpmv(UPLO, TRANS, DIAG, N, AP, X, INCX)
CTPMV
subroutine cunbdb(TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, PHI, TAUP1, TAUP2, TAUQ1, TAUQ2, WORK, LWORK, INFO)
CUNBDB
subroutine ctgexc(WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, LDZ, IFST, ILST, INFO)
CTGEXC
subroutine cunbdb4(M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, PHANTOM, WORK, LWORK, INFO)
CUNBDB4
subroutine clarz(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK)
CLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.
subroutine slartgp(F, G, CS, SN, R)
SLARTGP generates a plane rotation so that the diagonal is nonnegative.
subroutine slagts(JOB, N, A, B, C, D, IN, Y, TOL, INFO)
SLAGTS solves the system of equations (T-λI)x = y or (T-λI)Tx = y,where T is a general tridiagonal ma...
subroutine slasdt(N, LVL, ND, INODE, NDIML, NDIMR, MSUB)
SLASDT creates a tree of subproblems for bidiagonal divide and conquer. Used by sbdsdc.
subroutine slartgs(X, Y, SIGMA, CS, SN)
SLARTGS generates a plane rotation designed to introduce a bulge in implicit QR iteration for the bid...
subroutine cgeru(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
CGERU
subroutine clascl(TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO)
CLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.
subroutine cunbdb1(M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO)
CUNBDB1
subroutine slasrt(ID, N, D, INFO)
SLASRT sorts numbers in increasing or decreasing order.
subroutine dlacpy(UPLO, M, N, A, LDA, B, LDB)
DLACPY copies all or part of one two-dimensional array to another.
subroutine cbbcsd(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)
CBBCSD
subroutine clatrs(UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE, CNORM, INFO)
CLATRS solves a triangular system of equations with the scale factor set to prevent overflow.
subroutine slarre(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)
SLARRE given the tridiagonal matrix T, sets small off-diagonal elements to zero and for each unreduce...
integer function icamax(N, CX, INCX)
ICAMAX
1.8.16