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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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| subroutine | zgbbrd (VECT, M, N, NCC, KL, KU, AB, LDAB, D, E, Q, LDQ, PT, LDPT, C, LDC, WORK, RWORK, INFO) |
| | ZGBBRD More...
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| subroutine | zgbcon (NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, WORK, RWORK, INFO) |
| | ZGBCON More...
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| subroutine | zgbequ (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, INFO) |
| | ZGBEQU More...
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| subroutine | zgbequb (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, INFO) |
| | ZGBEQUB More...
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| subroutine | zgbrfs (TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | ZGBRFS More...
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| subroutine | zgbrfsx (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, RWORK, INFO) |
| | ZGBRFSX More...
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| subroutine | zgbtf2 (M, N, KL, KU, AB, LDAB, IPIV, INFO) |
| | ZGBTF2 computes the LU factorization of a general band matrix using the unblocked version of the algorithm. More...
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| subroutine | zgbtrf (M, N, KL, KU, AB, LDAB, IPIV, INFO) |
| | ZGBTRF More...
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| subroutine | zgbtrs (TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) |
| | ZGBTRS More...
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| subroutine | zggbak (JOB, SIDE, N, ILO, IHI, LSCALE, RSCALE, M, V, LDV, INFO) |
| | ZGGBAK More...
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| subroutine | zggbal (JOB, N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE, WORK, INFO) |
| | ZGGBAL More...
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| subroutine | zla_gbamv (TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY) |
| | ZLA_GBAMV performs a matrix-vector operation to calculate error bounds. More...
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| double precision function | zla_gbrcond_c (TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, C, CAPPLY, INFO, WORK, RWORK) |
| | ZLA_GBRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for general banded matrices. More...
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| double precision function | zla_gbrcond_x (TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, X, INFO, WORK, RWORK) |
| | ZLA_GBRCOND_X computes the infinity norm condition number of op(A)*diag(x) for general banded matrices. More...
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| subroutine | zla_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) |
| | ZLA_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 | zla_gbrpvgrw (N, KL, KU, NCOLS, AB, LDAB, AFB, LDAFB) |
| | ZLA_GBRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a general banded matrix. More...
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| subroutine | zungbr (VECT, M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | ZUNGBR More...
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This is the group of complex16 computational functions for GB matrices
subroutine zlacgv(N, X, INCX)
ZLACGV conjugates a complex vector.
subroutine zgeru(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
ZGERU
subroutine zla_lin_berr(N, NZ, NRHS, RES, AYB, BERR)
ZLA_LIN_BERR computes a component-wise relative backward error.
subroutine zla_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)
ZLA_GBRFSX_EXTENDED improves the computed solution to a system of linear equations for general banded...
subroutine zaxpy(N, ZA, ZX, INCX, ZY, INCY)
ZAXPY
integer function ilaprec(PREC)
ILAPREC
subroutine zgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
ZGEMV
subroutine zla_wwaddw(N, X, Y, W)
ZLA_WWADDW adds a vector into a doubled-single vector.
complex *16 function zdotc(N, ZX, INCX, ZY, INCY)
ZDOTC
subroutine ztrsm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
ZTRSM
subroutine zdscal(N, DA, ZX, INCX)
ZDSCAL
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 zdrscl(N, SA, SX, INCX)
ZDRSCL multiplies a vector by the reciprocal of a real scalar.
subroutine zcopy(N, ZX, INCX, ZY, INCY)
ZCOPY
subroutine zgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
ZGEMM
integer function ilatrans(TRANS)
ILATRANS
subroutine zgbcon(NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, WORK, RWORK, INFO)
ZGBCON
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...
integer function izamax(N, ZX, INCX)
IZAMAX
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 zungqr(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
ZUNGQR
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 xerbla(SRNAME, INFO)
XERBLA
double precision function zla_gbrcond_c(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, C, CAPPLY, INFO, WORK, RWORK)
ZLA_GBRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for general banded ma...
double precision function zla_gbrpvgrw(N, KL, KU, NCOLS, AB, LDAB, AFB, LDAFB)
ZLA_GBRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a general banded matrix.
logical function lsame(CA, CB)
LSAME
subroutine zswap(N, ZX, INCX, ZY, INCY)
ZSWAP
subroutine zunglq(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
ZUNGLQ
double precision function zlangb(NORM, N, KL, KU, AB, LDAB, WORK)
ZLANGB returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
subroutine zla_gbamv(TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY)
ZLA_GBAMV performs a matrix-vector operation to calculate error bounds.
subroutine zlaswp(N, A, LDA, K1, K2, IPIV, INCX)
ZLASWP performs a series of row interchanges on a general rectangular matrix.
integer function ilaenv(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
double precision function ddot(N, DX, INCX, DY, INCY)
DDOT
subroutine zgbtrs(TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO)
ZGBTRS
subroutine zlartg(F, G, CS, SN, R)
ZLARTG generates a plane rotation with real cosine and complex sine.
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 zgbtf2(M, N, KL, KU, AB, LDAB, IPIV, INFO)
ZGBTF2 computes the LU factorization of a general band matrix using the unblocked version of the algo...
double precision function dlamch(CMACH)
DLAMCH
double precision function zla_gbrcond_x(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, X, INFO, WORK, RWORK)
ZLA_GBRCOND_X computes the infinity norm condition number of op(A)*diag(x) for general banded matrice...
subroutine zgbmv(TRANS, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
ZGBMV
character *1 function chla_transtype(TRANS)
CHLA_TRANSTYPE
subroutine daxpy(N, DA, DX, INCX, DY, INCY)
DAXPY
subroutine ztbsv(UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX)
ZTBSV
1.8.16