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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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| subroutine | dgbbrd (VECT, M, N, NCC, KL, KU, AB, LDAB, D, E, Q, LDQ, PT, LDPT, C, LDC, WORK, INFO) |
| | DGBBRD More...
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| subroutine | dgbcon (NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, WORK, IWORK, INFO) |
| | DGBCON More...
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| subroutine | dgbequ (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, INFO) |
| | DGBEQU More...
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| subroutine | dgbequb (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, INFO) |
| | DGBEQUB More...
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| subroutine | dgbrfs (TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) |
| | DGBRFS More...
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| subroutine | dgbrfsx (TRANS, EQUED, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, R, C, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO) |
| | DGBRFSX More...
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| subroutine | dgbtf2 (M, N, KL, KU, AB, LDAB, IPIV, INFO) |
| | DGBTF2 computes the LU factorization of a general band matrix using the unblocked version of the algorithm. More...
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| subroutine | dgbtrf (M, N, KL, KU, AB, LDAB, IPIV, INFO) |
| | DGBTRF More...
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| subroutine | dgbtrs (TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) |
| | DGBTRS More...
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| subroutine | dggbak (JOB, SIDE, N, ILO, IHI, LSCALE, RSCALE, M, V, LDV, INFO) |
| | DGGBAK More...
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| subroutine | dggbal (JOB, N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE, WORK, INFO) |
| | DGGBAL More...
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| subroutine | dla_gbamv (TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY) |
| | DLA_GBAMV performs a matrix-vector operation to calculate error bounds. More...
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| double precision function | dla_gbrcond (TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, CMODE, C, INFO, WORK, IWORK) |
| | DLA_GBRCOND estimates the Skeel condition number for a general banded matrix. More...
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| subroutine | dla_gbrfsx_extended (PREC_TYPE, TRANS_TYPE, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, 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) |
| | DLA_GBRFSX_EXTENDED improves the computed solution to a system of linear equations for general banded matrices by performing extra-precise iterative refinement and provides error bounds and backward error estimates for the solution. More...
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| double precision function | dla_gbrpvgrw (N, KL, KU, NCOLS, AB, LDAB, AFB, LDAFB) |
| | DLA_GBRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a general banded matrix. More...
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| subroutine | dorgbr (VECT, M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | DORGBR More...
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This is the group of double computational functions for GB matrices
subroutine dger(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
DGER
subroutine dgbmv(TRANS, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
DGBMV
double precision function dlangb(NORM, N, KL, KU, AB, LDAB, WORK)
DLANGB returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
subroutine dla_gbrfsx_extended(PREC_TYPE, TRANS_TYPE, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, 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)
DLA_GBRFSX_EXTENDED improves the computed solution to a system of linear equations for general banded...
integer function ilaprec(PREC)
ILAPREC
integer function idamax(N, DX, INCX)
IDAMAX
subroutine dlartg(F, G, CS, SN, R)
DLARTG generates a plane rotation with real cosine and real sine.
subroutine dorglq(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
DORGLQ
subroutine dlargv(N, X, INCX, Y, INCY, C, INCC)
DLARGV generates a vector of plane rotations with real cosines and real sines.
subroutine dgbtrs(TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO)
DGBTRS
subroutine dtrsm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
DTRSM
subroutine dlacn2(N, V, X, ISGN, EST, KASE, ISAVE)
DLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vec...
subroutine dlatbs(UPLO, TRANS, DIAG, NORMIN, N, KD, AB, LDAB, X, SCALE, CNORM, INFO)
DLATBS solves a triangular banded system of equations.
subroutine drscl(N, SA, SX, INCX)
DRSCL multiplies a vector by the reciprocal of a real scalar.
subroutine dcopy(N, DX, INCX, DY, INCY)
DCOPY
integer function ilatrans(TRANS)
ILATRANS
subroutine dlaswp(N, A, LDA, K1, K2, IPIV, INCX)
DLASWP performs a series of row interchanges on a general rectangular matrix.
subroutine dorgqr(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
DORGQR
subroutine dla_gbamv(TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY)
DLA_GBAMV performs a matrix-vector operation to calculate error bounds.
subroutine dgbtf2(M, N, KL, KU, AB, LDAB, IPIV, INFO)
DGBTF2 computes the LU factorization of a general band matrix using the unblocked version of the algo...
subroutine dgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
DGEMM
subroutine dtbsv(UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX)
DTBSV
subroutine xerbla(SRNAME, INFO)
XERBLA
subroutine dla_wwaddw(N, X, Y, W)
DLA_WWADDW adds a vector into a doubled-single vector.
logical function lsame(CA, CB)
LSAME
subroutine drot(N, DX, INCX, DY, INCY, C, S)
DROT
subroutine dgbcon(NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, WORK, IWORK, INFO)
DGBCON
subroutine dgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
DGEMV
subroutine dswap(N, DX, INCX, DY, INCY)
DSWAP
double precision function dla_gbrpvgrw(N, KL, KU, NCOLS, AB, LDAB, AFB, LDAFB)
DLA_GBRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a general banded matrix.
integer function ilaenv(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
subroutine dlartv(N, X, INCX, Y, INCY, C, S, INCC)
DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair...
subroutine dlaset(UPLO, M, N, ALPHA, BETA, A, LDA)
DLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
double precision function ddot(N, DX, INCX, DY, INCY)
DDOT
subroutine dla_lin_berr(N, NZ, NRHS, RES, AYB, BERR)
DLA_LIN_BERR computes a component-wise relative backward error.
subroutine dscal(N, DA, DX, INCX)
DSCAL
double precision function dlamch(CMACH)
DLAMCH
character *1 function chla_transtype(TRANS)
CHLA_TRANSTYPE
subroutine daxpy(N, DA, DX, INCX, DY, INCY)
DAXPY
double precision function dla_gbrcond(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, CMODE, C, INFO, WORK, IWORK)
DLA_GBRCOND estimates the Skeel condition number for a general banded matrix.
1.8.16