Section 3: library functions
NAME 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…
NAME 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,…
NAME 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( *…
NAME 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)…
NAME 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…
NAME 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…
NAME 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,…
NAME 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,…
NAME 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…
NAME 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…
NAME 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…
NAME 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,…
NAME cla_hercond_c.f – SYNOPSIS Functions/Subroutines REAL function cla_hercond_c (UPLO, N, A, LDA, AF, LDAF, IPIV, C, CAPPLY, INFO, WORK, RWORK) CLA_HERCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian indefinite matrices. Function/Subroutine Documentation REAL function cla_hercond_c (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( *…
NAME cla_heamv.f – SYNOPSIS Functions/Subroutines 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 bounds. Function/Subroutine Documentation subroutine cla_heamv (integerUPLO, integerN, realALPHA, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )X, integerINCX, realBETA, real, dimension( * )Y, integerINCY)…
NAME cla_gerpvgrw.f – SYNOPSIS Functions/Subroutines REAL function cla_gerpvgrw (N, NCOLS, A, LDA, AF, LDAF) CLA_GERPVGRW multiplies a square real matrix by a complex matrix. Function/Subroutine Documentation REAL function cla_gerpvgrw (integerN, integerNCOLS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF) CLA_GERPVGRW multiplies a square real matrix by a complex matrix. Purpose: CLA_GERPVGRW…
NAME cla_gerfsx_extended.f – SYNOPSIS Functions/Subroutines subroutine cla_gerfsx_extended (PREC_TYPE, TRANS_TYPE, N, NRHS, A, LDA, AF, LDAF, IPIV, COLEQU, C, B, LDB, Y, LDY, BERR_OUT, N_NORMS, ERRS_N, ERRS_C, RES, AYB, DY, Y_TAIL, RCOND, ITHRESH, RTHRESH, DZ_UB, IGNORE_CWISE, INFO) CLA_GERFSX_EXTENDED Function/Subroutine Documentation subroutine cla_gerfsx_extended (integerPREC_TYPE, integerTRANS_TYPE, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, *…
NAME cla_gercond_x.f – SYNOPSIS Functions/Subroutines REAL function cla_gercond_x (TRANS, N, A, LDA, AF, LDAF, IPIV, X, INFO, WORK, RWORK) CLA_GERCOND_X computes the infinity norm condition number of op(A)*diag(x) for general matrices. Function/Subroutine Documentation REAL function cla_gercond_x (characterTRANS, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, complex,…
NAME cla_gercond_c.f – SYNOPSIS Functions/Subroutines REAL function cla_gercond_c (TRANS, N, A, LDA, AF, LDAF, IPIV, C, CAPPLY, INFO, WORK, RWORK) CLA_GERCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for general matrices. Function/Subroutine Documentation REAL function cla_gercond_c (characterTRANS, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV,…
NAME cla_geamv.f – SYNOPSIS Functions/Subroutines subroutine cla_geamv (TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CLA_GEAMV computes a matrix-vector product using a general matrix to calculate error bounds. Function/Subroutine Documentation subroutine cla_geamv (integerTRANS, integerM, integerN, realALPHA, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )X, integerINCX, realBETA, real, dimension( * )Y,…
NAME cla_gbrpvgrw.f – SYNOPSIS Functions/Subroutines 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. Function/Subroutine Documentation REAL function cla_gbrpvgrw (integerN, integerKL, integerKU, integerNCOLS, complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( ldafb, * )AFB, integerLDAFB) CLA_GBRPVGRW computes the reciprocal pivot…