Section 3: library functions
clacp2.f – Synopsis Functions/Subroutines subroutine clacp2 (UPLO, M, N, A, LDA, B, LDB) CLACP2 copies all or part of a real two-dimensional array to a complex array. Function/Subroutine Documentation subroutine clacp2 (characterUPLO, integerM, integerN, real, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB) CLACP2 copies all or part of a real two-dimensional…
clacon.f – Synopsis Functions/Subroutines subroutine clacon (N, V, X, EST, KASE) CLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. Function/Subroutine Documentation subroutine clacon (integerN, complex, dimension( n )V, complex, dimension( n )X, realEST, integerKASE) CLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector…
clacn2.f – Synopsis Functions/Subroutines subroutine clacn2 (N, V, X, EST, KASE, ISAVE) CLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. Function/Subroutine Documentation subroutine clacn2 (integerN, complex, dimension( * )V, complex, dimension( * )X, realEST, integerKASE, integer, dimension( 3 )ISAVE) CLACN2 estimates the 1-norm of a square matrix, using…
clacgv.f – Synopsis Functions/Subroutines subroutine clacgv (N, X, INCX) CLACGV conjugates a complex vector. Function/Subroutine Documentation subroutine clacgv (integerN, complex, dimension( * )X, integerINCX) CLACGV conjugates a complex vector. Purpose: CLACGV conjugates a complex vector of length N. Parameters: N N is INTEGER The length of the vector X. N >= 0. X X…
clabrd.f – Synopsis Functions/Subroutines subroutine clabrd (M, N, NB, A, LDA, D, E, TAUQ, TAUP, X, LDX, Y, LDY) CLABRD reduces the first nb rows and columns of a general matrix to a bidiagonal form. Function/Subroutine Documentation subroutine clabrd (integerM, integerN, integerNB, complex, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( *…
cla_wwaddw.f – Synopsis Functions/Subroutines subroutine cla_wwaddw (N, X, Y, W) CLA_WWADDW adds a vector into a doubled-single vector. Function/Subroutine Documentation subroutine cla_wwaddw (integerN, complex, dimension( * )X, complex, dimension( * )Y, complex, dimension( * )W) CLA_WWADDW adds a vector into a doubled-single vector. Purpose: CLA_WWADDW adds a vector W into a doubled-single vector (X, Y)….
cla_syrpvgrw.f – Synopsis Functions/Subroutines REAL function cla_syrpvgrw (UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK) CLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. Function/Subroutine Documentation REAL function cla_syrpvgrw (character*1UPLO, integerN, integerINFO, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, real, dimension(…
cla_syrfsx_extended.f – Synopsis Functions/Subroutines subroutine cla_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) CLA_SYRFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric indefinite matrices by performing extra-precise iterative refinement…
cla_syrcond_x.f – Synopsis Functions/Subroutines REAL function cla_syrcond_x (UPLO, N, A, LDA, AF, LDAF, IPIV, X, INFO, WORK, RWORK) CLA_SYRCOND_X computes the infinity norm condition number of op(A)*diag(x) for symmetric indefinite matrices. Function/Subroutine Documentation REAL function cla_syrcond_x (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, complex,…
cla_syrcond_c.f – Synopsis Functions/Subroutines REAL function cla_syrcond_c (UPLO, N, A, LDA, AF, LDAF, IPIV, C, CAPPLY, INFO, WORK, RWORK) CLA_SYRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for symmetric indefinite matrices. Function/Subroutine Documentation REAL function cla_syrcond_c (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV,…
cla_syamv.f – Synopsis Functions/Subroutines subroutine cla_syamv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CLA_SYAMV computes a matrix-vector product using a symmetric indefinite matrix to calculate error bounds. Function/Subroutine Documentation subroutine cla_syamv (integerUPLO, integerN, realALPHA, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )X, integerINCX, realBETA, real, dimension( * )Y, integerINCY) CLA_SYAMV…
cla_porpvgrw.f – Synopsis Functions/Subroutines 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. Function/Subroutine Documentation REAL function cla_porpvgrw (character*1UPLO, integerNCOLS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, real, dimension( * )WORK) CLA_PORPVGRW computes the…
cla_porfsx_extended.f – Synopsis Functions/Subroutines 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…
cla_porcond_x.f – Synopsis Functions/Subroutines 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. Function/Subroutine Documentation REAL function cla_porcond_x (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, complex, dimension( * )X, integerINFO, complex,…
cla_porcond_c.f – Synopsis Functions/Subroutines 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. Function/Subroutine Documentation REAL function cla_porcond_c (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, real, dimension( * )C, logicalCAPPLY,…
cla_porcond_c.f – Synopsis Functions/Subroutines 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. Function/Subroutine Documentation REAL function cla_porcond_c (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, real, dimension( * )C, logicalCAPPLY,…
cla_lin_berr.f – Synopsis Functions/Subroutines subroutine cla_lin_berr (N, NZ, NRHS, RES, AYB, BERR) CLA_LIN_BERR computes a component-wise relative backward error. Function/Subroutine Documentation subroutine cla_lin_berr (integerN, integerNZ, integerNRHS, complex, dimension( n, nrhs )RES, real, dimension( n, nrhs )AYB, real, dimension( nrhs )BERR) CLA_LIN_BERR computes a component-wise relative backward error. Purpose: CLA_LIN_BERR computes componentwise relative backward error from…
cla_herpvgrw.f – Synopsis Functions/Subroutines REAL function cla_herpvgrw (UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK) CLA_HERPVGRW Function/Subroutine Documentation REAL function cla_herpvgrw (character*1UPLO, integerN, integerINFO, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, real, dimension( * )WORK) CLA_HERPVGRW Purpose: CLA_HERPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U)….
cla_herfsx_extended.f – Synopsis Functions/Subroutines subroutine cla_herfsx_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) CLA_HERFSX_EXTENDED improves the computed solution to a system of linear equations for Hermitian indefinite matrices by performing extra-precise iterative refinement…
cla_hercond_x.f – Synopsis Functions/Subroutines REAL function cla_hercond_x (UPLO, N, A, LDA, AF, LDAF, IPIV, X, INFO, WORK, RWORK) CLA_HERCOND_X computes the infinity norm condition number of op(A)*diag(x) for Hermitian indefinite matrices. Function/Subroutine Documentation REAL function cla_hercond_x (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, complex,…