 |
LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
|
|
| real function | cla_porcond_c (UPLO, N, A, LDA, AF, LDAF, C, CAPPLY, INFO, WORK, RWORK) |
| | CLA_PORCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian positive-definite matrices. More...
|
| |
| real function | cla_porcond_x (UPLO, N, A, LDA, AF, LDAF, X, INFO, WORK, RWORK) |
| | CLA_PORCOND_X computes the infinity norm condition number of op(A)*diag(x) for Hermitian positive-definite matrices. More...
|
| |
| subroutine | cla_porfsx_extended (PREC_TYPE, UPLO, N, NRHS, A, LDA, AF, LDAF, 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_PORFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric or Hermitian positive-definite matrices by performing extra-precise iterative refinement and provides error bounds and backward error estimates for the solution. More...
|
| |
| real function | cla_porpvgrw (UPLO, NCOLS, A, LDA, AF, LDAF, WORK) |
| | CLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix. More...
|
| |
| subroutine | cpocon (UPLO, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO) |
| | CPOCON More...
|
| |
| subroutine | cpoequ (N, A, LDA, S, SCOND, AMAX, INFO) |
| | CPOEQU More...
|
| |
| subroutine | cpoequb (N, A, LDA, S, SCOND, AMAX, INFO) |
| | CPOEQUB More...
|
| |
| subroutine | cporfs (UPLO, N, NRHS, A, LDA, AF, LDAF, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | CPORFS More...
|
| |
| subroutine | cporfsx (UPLO, EQUED, N, NRHS, A, LDA, AF, LDAF, S, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, RWORK, INFO) |
| | CPORFSX More...
|
| |
| subroutine | cpotf2 (UPLO, N, A, LDA, INFO) |
| | CPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm). More...
|
| |
| subroutine | cpotrf (UPLO, N, A, LDA, INFO) |
| | CPOTRF More...
|
| |
| recursive subroutine | cpotrf2 (UPLO, N, A, LDA, INFO) |
| | CPOTRF2 More...
|
| |
| subroutine | cpotri (UPLO, N, A, LDA, INFO) |
| | CPOTRI More...
|
| |
| subroutine | cpotrs (UPLO, N, NRHS, A, LDA, B, LDB, INFO) |
| | CPOTRS More...
|
| |
This is the group of complex computational functions for PO matrices
subroutine cgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CGEMM
subroutine csscal(N, SA, CX, INCX)
CSSCAL
integer function ilaprec(PREC)
ILAPREC
subroutine ctrtri(UPLO, DIAG, N, A, LDA, INFO)
CTRTRI
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 cpotrs(UPLO, N, NRHS, A, LDA, B, LDB, INFO)
CPOTRS
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 cherk(UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC)
CHERK
complex function cdotc(N, CX, INCX, CY, INCY)
CDOTC
logical function sisnan(SIN)
SISNAN tests input for NaN.
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.
integer function ilauplo(UPLO)
ILAUPLO
real function cla_porcond_x(UPLO, N, A, LDA, AF, LDAF, X, INFO, WORK, RWORK)
CLA_PORCOND_X computes the infinity norm condition number of op(A)*diag(x) for Hermitian positive-def...
subroutine chemv(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
CHEMV
real function cla_porpvgrw(UPLO, NCOLS, A, LDA, AF, LDAF, WORK)
CLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian...
subroutine cla_heamv(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
CLA_HEAMV computes a matrix-vector product using a Hermitian indefinite matrix to calculate error bou...
real function clanhe(NORM, UPLO, N, A, LDA, WORK)
CLANHE returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine xerbla(SRNAME, INFO)
XERBLA
subroutine cla_porfsx_extended(PREC_TYPE, UPLO, N, NRHS, A, LDA, AF, LDAF, 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_PORFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric or H...
logical function lsame(CA, CB)
LSAME
real function slamch(CMACH)
SLAMCH
subroutine cpocon(UPLO, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO)
CPOCON
real function cla_porcond_c(UPLO, N, A, LDA, AF, LDAF, C, CAPPLY, INFO, WORK, RWORK)
CLA_PORCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian positiv...
subroutine ccopy(N, CX, INCX, CY, INCY)
CCOPY
integer function ilaenv(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
subroutine caxpy(N, CA, CX, INCX, CY, INCY)
CAXPY
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...
recursive subroutine cpotrf2(UPLO, N, A, LDA, INFO)
CPOTRF2
subroutine cla_wwaddw(N, X, Y, W)
CLA_WWADDW adds a vector into a doubled-single vector.
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.
integer function icamax(N, CX, INCX)
ICAMAX
1.8.16