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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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| subroutine | cgbbrd (VECT, M, N, NCC, KL, KU, AB, LDAB, D, E, Q, LDQ, PT, LDPT, C, LDC, WORK, RWORK, INFO) |
| | CGBBRD More...
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| subroutine | cgbcon (NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, WORK, RWORK, INFO) |
| | CGBCON More...
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| subroutine | cgbequ (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, INFO) |
| | CGBEQU More...
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| subroutine | cgbequb (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, INFO) |
| | CGBEQUB More...
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| subroutine | cgbrfs (TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | CGBRFS More...
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| subroutine | cgbrfsx (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) |
| | CGBRFSX More...
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| subroutine | cgbtf2 (M, N, KL, KU, AB, LDAB, IPIV, INFO) |
| | CGBTF2 computes the LU factorization of a general band matrix using the unblocked version of the algorithm. More...
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| subroutine | cgbtrf (M, N, KL, KU, AB, LDAB, IPIV, INFO) |
| | CGBTRF More...
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| subroutine | cgbtrs (TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) |
| | CGBTRS More...
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| subroutine | cggbak (JOB, SIDE, N, ILO, IHI, LSCALE, RSCALE, M, V, LDV, INFO) |
| | CGGBAK More...
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| subroutine | cggbal (JOB, N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE, WORK, INFO) |
| | CGGBAL More...
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| subroutine | cla_gbamv (TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY) |
| | CLA_GBAMV performs a matrix-vector operation to calculate error bounds. More...
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| real function | cla_gbrcond_c (TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, C, CAPPLY, INFO, WORK, RWORK) |
| | CLA_GBRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for general banded matrices. More...
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| real function | cla_gbrcond_x (TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, X, INFO, WORK, RWORK) |
| | CLA_GBRCOND_X computes the infinity norm condition number of op(A)*diag(x) for general banded matrices. More...
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| subroutine | cla_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) |
| | CLA_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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| real function | cla_gbrpvgrw (N, KL, KU, NCOLS, AB, LDAB, AFB, LDAFB) |
| | CLA_GBRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a general banded matrix. More...
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| subroutine | cungbr (VECT, M, N, K, A, LDA, TAU, WORK, LWORK, INFO) |
| | CUNGBR More...
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This is the group of complex computational functions for GB matrices
real function cla_gbrpvgrw(N, KL, KU, NCOLS, AB, LDAB, AFB, LDAFB)
CLA_GBRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a general banded matrix.
subroutine cgbcon(NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, WORK, RWORK, INFO)
CGBCON
subroutine cgbtrs(TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO)
CGBTRS
subroutine cgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CGEMM
subroutine csscal(N, SA, CX, INCX)
CSSCAL
subroutine clatbs(UPLO, TRANS, DIAG, NORMIN, N, KD, AB, LDAB, X, SCALE, CNORM, INFO)
CLATBS solves a triangular banded system of equations.
integer function ilaprec(PREC)
ILAPREC
real function cla_gbrcond_c(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, C, CAPPLY, INFO, WORK, RWORK)
CLA_GBRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for general banded ma...
subroutine cunglq(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
CUNGLQ
subroutine cla_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)
CLA_GBRFSX_EXTENDED improves the computed solution to a system of linear equations for general banded...
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 cla_lin_berr(N, NZ, NRHS, RES, AYB, BERR)
CLA_LIN_BERR computes a component-wise relative backward error.
subroutine cgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
CGEMV
subroutine ctrsm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
CTRSM
subroutine clacgv(N, X, INCX)
CLACGV conjugates a complex vector.
subroutine claswp(N, A, LDA, K1, K2, IPIV, INCX)
CLASWP performs a series of row interchanges on a general rectangular matrix.
integer function ilatrans(TRANS)
ILATRANS
subroutine cungqr(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
CUNGQR
complex function cdotc(N, CX, INCX, CY, INCY)
CDOTC
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 cgbmv(TRANS, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
CGBMV
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 cscal(N, CA, CX, INCX)
CSCAL
subroutine sscal(N, SA, SX, INCX)
SSCAL
subroutine cla_gbamv(TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY)
CLA_GBAMV performs a matrix-vector operation to calculate error bounds.
subroutine xerbla(SRNAME, INFO)
XERBLA
real function sdot(N, SX, INCX, SY, INCY)
SDOT
subroutine clargv(N, X, INCX, Y, INCY, C, INCC)
CLARGV generates a vector of plane rotations with real cosines and complex sines.
subroutine cswap(N, CX, INCX, CY, INCY)
CSWAP
logical function lsame(CA, CB)
LSAME
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.
real function slamch(CMACH)
SLAMCH
subroutine ctbsv(UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX)
CTBSV
subroutine cgbtf2(M, N, KL, KU, AB, LDAB, IPIV, INFO)
CGBTF2 computes the LU factorization of a general band matrix using the unblocked version of the algo...
subroutine ccopy(N, CX, INCX, CY, INCY)
CCOPY
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
real function cla_gbrcond_x(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, X, INFO, WORK, RWORK)
CLA_GBRCOND_X computes the infinity norm condition number of op(A)*diag(x) for general banded matrice...
subroutine caxpy(N, CA, CX, INCX, CY, INCY)
CAXPY
subroutine cgeru(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
CGERU
real function clangb(NORM, N, KL, KU, AB, LDAB, WORK)
CLANGB returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
character *1 function chla_transtype(TRANS)
CHLA_TRANSTYPE
subroutine cla_wwaddw(N, X, Y, W)
CLA_WWADDW adds a vector into a doubled-single vector.
integer function icamax(N, CX, INCX)
ICAMAX
subroutine saxpy(N, SA, SX, INCX, SY, INCY)
SAXPY
1.8.16