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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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| subroutine | sla_syamv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) |
| | SLA_SYAMV computes a matrix-vector product using a symmetric indefinite matrix to calculate error bounds. More...
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| real function | sla_syrcond (UPLO, N, A, LDA, AF, LDAF, IPIV, CMODE, C, INFO, WORK, IWORK) |
| | SLA_SYRCOND estimates the Skeel condition number for a symmetric indefinite matrix. More...
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| subroutine | sla_syrfsx_extended (PREC_TYPE, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, COLEQU, C, B, LDB, Y, LDY, BERR_OUT, N_NORMS, ERR_BNDS_NORM, ERR_BNDS_COMP, RES, AYB, DY, Y_TAIL, RCOND, ITHRESH, RTHRESH, DZ_UB, IGNORE_CWISE, INFO) |
| | SLA_SYRFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric indefinite matrices by performing extra-precise iterative refinement and provides error bounds and backward error estimates for the solution. More...
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| real function | sla_syrpvgrw (UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK) |
| | SLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. More...
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| subroutine | slasyf (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) |
| | SLASYF computes a partial factorization of a real symmetric matrix using the Bunch-Kaufman diagonal pivoting method. More...
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| subroutine | slasyf_aa (UPLO, J1, M, NB, A, LDA, IPIV, H, LDH, WORK) |
| | SLASYF_AA More...
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| subroutine | slasyf_rook (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) |
| | SLASYF_ROOK computes a partial factorization of a real symmetric matrix using the bounded Bunch-Kaufman ("rook") diagonal pivoting method. More...
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| subroutine | ssycon (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) |
| | SSYCON More...
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| subroutine | ssycon_rook (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) |
| | SSYCON_ROOK More...
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| subroutine | ssyconv (UPLO, WAY, N, A, LDA, IPIV, E, INFO) |
| | SSYCONV More...
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| subroutine | ssyequb (UPLO, N, A, LDA, S, SCOND, AMAX, WORK, INFO) |
| | SSYEQUB More...
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| subroutine | ssygs2 (ITYPE, UPLO, N, A, LDA, B, LDB, INFO) |
| | SSYGS2 reduces a symmetric definite generalized eigenproblem to standard form, using the factorization results obtained from spotrf (unblocked algorithm). More...
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| subroutine | ssygst (ITYPE, UPLO, N, A, LDA, B, LDB, INFO) |
| | SSYGST More...
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| subroutine | ssyrfs (UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) |
| | SSYRFS More...
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| subroutine | ssyrfsx (UPLO, EQUED, N, NRHS, A, LDA, AF, LDAF, IPIV, S, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO) |
| | SSYRFSX More...
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| subroutine | ssytd2 (UPLO, N, A, LDA, D, E, TAU, INFO) |
| | SSYTD2 reduces a symmetric matrix to real symmetric tridiagonal form by an orthogonal similarity transformation (unblocked algorithm). More...
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| subroutine | ssytf2 (UPLO, N, A, LDA, IPIV, INFO) |
| | SSYTF2 computes the factorization of a real symmetric indefinite matrix, using the diagonal pivoting method (unblocked algorithm). More...
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| subroutine | ssytf2_rook (UPLO, N, A, LDA, IPIV, INFO) |
| | SSYTF2_ROOK computes the factorization of a real symmetric indefinite matrix using the bounded Bunch-Kaufman ("rook") diagonal pivoting method (unblocked algorithm). More...
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| subroutine | ssytrd (UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO) |
| | SSYTRD More...
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| subroutine | ssytrd_2stage (VECT, UPLO, N, A, LDA, D, E, TAU, HOUS2, LHOUS2, WORK, LWORK, INFO) |
| | SSYTRD_2STAGE More...
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| subroutine | ssytrd_sy2sb (UPLO, N, KD, A, LDA, AB, LDAB, TAU, WORK, LWORK, INFO) |
| | SSYTRD_SY2SB More...
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| subroutine | ssytrf (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) |
| | SSYTRF More...
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| subroutine | ssytrf_aa (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) |
| | SSYTRF_AA More...
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| subroutine | ssytrf_aa_2stage (UPLO, N, A, LDA, TB, LTB, IPIV, IPIV2, WORK, LWORK, INFO) |
| | SSYTRF_AA_2STAGE More...
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| subroutine | ssytrf_rook (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) |
| | SSYTRF_ROOK More...
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| subroutine | ssytri (UPLO, N, A, LDA, IPIV, WORK, INFO) |
| | SSYTRI More...
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| subroutine | ssytri2 (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) |
| | SSYTRI2 More...
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| subroutine | ssytri2x (UPLO, N, A, LDA, IPIV, WORK, NB, INFO) |
| | SSYTRI2X More...
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| subroutine | ssytri_rook (UPLO, N, A, LDA, IPIV, WORK, INFO) |
| | SSYTRI_ROOK More...
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| subroutine | ssytrs (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO) |
| | SSYTRS More...
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| subroutine | ssytrs2 (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, INFO) |
| | SSYTRS2 More...
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| subroutine | ssytrs_aa (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO) |
| | SSYTRS_AA More...
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| subroutine | ssytrs_aa_2stage (UPLO, N, NRHS, A, LDA, TB, LTB, IPIV, IPIV2, B, LDB, INFO) |
| | SSYTRS_AA_2STAGE More...
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| subroutine | ssytrs_rook (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO) |
| | SSYTRS_ROOK More...
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| subroutine | stgsyl (TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, DIF, WORK, LWORK, IWORK, INFO) |
| | STGSYL More...
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| subroutine | strsyl (TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, SCALE, INFO) |
| | STRSYL More...
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This is the group of real computational functions for SY matrices
subroutine strmm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
STRMM
subroutine strmv(UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
STRMV
subroutine strsv(UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
STRSV
subroutine ssyconv(UPLO, WAY, N, A, LDA, IPIV, E, INFO)
SSYCONV
subroutine slacn2(N, V, X, ISGN, EST, KASE, ISAVE)
SLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vec...
subroutine slabad(SMALL, LARGE)
SLABAD
subroutine ssytri(UPLO, N, A, LDA, IPIV, WORK, INFO)
SSYTRI
integer function ilaprec(PREC)
ILAPREC
subroutine slarft(DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT)
SLARFT forms the triangular factor T of a block reflector H = I - vtvH
subroutine ssytrd_sy2sb(UPLO, N, KD, A, LDA, AB, LDAB, TAU, WORK, LWORK, INFO)
SSYTRD_SY2SB
logical function lde(RI, RJ, LR)
subroutine sswap(N, SX, INCX, SY, INCY)
SSWAP
subroutine ssytd2(UPLO, N, A, LDA, D, E, TAU, INFO)
SSYTD2 reduces a symmetric matrix to real symmetric tridiagonal form by an orthogonal similarity tran...
subroutine sgbtrf(M, N, KL, KU, AB, LDAB, IPIV, INFO)
SGBTRF
subroutine sgbtrs(TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO)
SGBTRS
subroutine sla_syamv(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
SLA_SYAMV computes a matrix-vector product using a symmetric indefinite matrix to calculate error bou...
subroutine ssymm(SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
SSYMM
subroutine strtri(UPLO, DIAG, N, A, LDA, INFO)
STRTRI
subroutine sgtsv(N, NRHS, DL, D, DU, B, LDB, INFO)
SGTSV computes the solution to system of linear equations A * X = B for GT matrices
subroutine slaln2(LTRANS, NA, NW, SMIN, CA, A, LDA, D1, D2, B, LDB, WR, WI, X, LDX, SCALE, XNORM, INFO)
SLALN2 solves a 1-by-1 or 2-by-2 linear system of equations of the specified form.
subroutine sgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
SGEMM
subroutine slasyf_rook(UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO)
SLASYF_ROOK computes a partial factorization of a real symmetric matrix using the bounded Bunch-Kaufm...
subroutine sla_syrfsx_extended(PREC_TYPE, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, COLEQU, C, B, LDB, Y, LDY, BERR_OUT, N_NORMS, ERR_BNDS_NORM, ERR_BNDS_COMP, RES, AYB, DY, Y_TAIL, RCOND, ITHRESH, RTHRESH, DZ_UB, IGNORE_CWISE, INFO)
SLA_SYRFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric inde...
subroutine ssyr2k(UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
SSYR2K
subroutine ssyr2(UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA)
SSYR2
subroutine slasy2(LTRANL, LTRANR, ISGN, N1, N2, TL, LDTL, TR, LDTR, B, LDB, SCALE, X, LDX, XNORM, INFO)
SLASY2 solves the Sylvester matrix equation where the matrices are of order 1 or 2.
integer function isamax(N, SX, INCX)
ISAMAX
subroutine ssygs2(ITYPE, UPLO, N, A, LDA, B, LDB, INFO)
SSYGS2 reduces a symmetric definite generalized eigenproblem to standard form, using the factorizatio...
subroutine sgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
SGEMV
subroutine slacpy(UPLO, M, N, A, LDA, B, LDB)
SLACPY copies all or part of one two-dimensional array to another.
subroutine slassq(N, X, INCX, SCALE, SUMSQ)
SLASSQ updates a sum of squares represented in scaled form.
real function slange(NORM, M, N, A, LDA, WORK)
SLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
logical function sisnan(SIN)
SISNAN tests input for NaN.
subroutine slarfg(N, ALPHA, X, INCX, TAU)
SLARFG generates an elementary reflector (Householder matrix).
subroutine scopy(N, SX, INCX, SY, INCY)
SCOPY
subroutine ssytf2_rook(UPLO, N, A, LDA, IPIV, INFO)
SSYTF2_ROOK computes the factorization of a real symmetric indefinite matrix using the bounded Bunch-...
subroutine sla_wwaddw(N, X, Y, W)
SLA_WWADDW adds a vector into a doubled-single vector.
integer function ilauplo(UPLO)
ILAUPLO
subroutine slasyf(UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO)
SLASYF computes a partial factorization of a real symmetric matrix using the Bunch-Kaufman diagonal p...
subroutine sscal(N, SA, SX, INCX)
SSCAL
subroutine slaswp(N, A, LDA, K1, K2, IPIV, INCX)
SLASWP performs a series of row interchanges on a general rectangular matrix.
subroutine sgetrf(M, N, A, LDA, IPIV, INFO)
SGETRF
subroutine xerbla(SRNAME, INFO)
XERBLA
real function sdot(N, SX, INCX, SY, INCY)
SDOT
subroutine sgeqrf(M, N, A, LDA, TAU, WORK, LWORK, INFO)
SGEQRF
subroutine strsm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
STRSM
subroutine ssymv(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
SSYMV
logical function lsame(CA, CB)
LSAME
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 sgelqf(M, N, A, LDA, TAU, WORK, LWORK, INFO)
SGELQF
real function slamch(CMACH)
SLAMCH
subroutine ssytri2x(UPLO, N, A, LDA, IPIV, WORK, NB, INFO)
SSYTRI2X
real function slansy(NORM, UPLO, N, A, LDA, WORK)
SLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine ssytrd_sb2st(STAGE1, VECT, UPLO, N, KD, AB, LDAB, D, E, HOUS, LHOUS, WORK, LWORK, INFO)
SSYTRD_SB2ST reduces a real symmetric band matrix A to real symmetric tridiagonal form T
real function sla_syrcond(UPLO, N, A, LDA, AF, LDAF, IPIV, CMODE, C, INFO, WORK, IWORK)
SLA_SYRCOND estimates the Skeel condition number for a symmetric indefinite matrix.
subroutine slatrd(UPLO, N, NB, A, LDA, E, TAU, W, LDW)
SLATRD reduces the first nb rows and columns of a symmetric/Hermitian matrix A to real tridiagonal fo...
subroutine sger(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
SGER
subroutine ssyr(UPLO, N, ALPHA, X, INCX, A, LDA)
SSYR
subroutine sla_lin_berr(N, NZ, NRHS, RES, AYB, BERR)
SLA_LIN_BERR computes a component-wise relative backward error.
subroutine ssytf2(UPLO, N, A, LDA, IPIV, INFO)
SSYTF2 computes the factorization of a real symmetric indefinite matrix, using the diagonal pivoting ...
integer function ilaenv(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
subroutine stgsy2(TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, RDSUM, RDSCAL, IWORK, PQ, INFO)
STGSY2 solves the generalized Sylvester equation (unblocked algorithm).
subroutine slasyf_aa(UPLO, J1, M, NB, A, LDA, IPIV, H, LDH, WORK)
SLASYF_AA
subroutine ssyswapr(UPLO, N, A, LDA, I1, I2)
SSYSWAPR applies an elementary permutation on the rows and columns of a symmetric matrix.
subroutine ssytrs_rook(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)
SSYTRS_ROOK
integer function ilaenv2stage(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV2STAGE
real function sla_syrpvgrw(UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK)
SLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite m...
subroutine ssygst(ITYPE, UPLO, N, A, LDA, B, LDB, INFO)
SSYGST
subroutine ssytrs(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)
SSYTRS
subroutine ssycon(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO)
SSYCON
subroutine saxpy(N, SA, SX, INCX, SY, INCY)
SAXPY
1.8.16