Section 3: library functions
slacn2.f – Synopsis Functions/Subroutines subroutine slacn2 (N, V, X, ISGN, EST, KASE, ISAVE) SLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. Function/Subroutine Documentation subroutine slacn2 (integerN, real, dimension( * )V, real, dimension( * )X, integer, dimension( * )ISGN, realEST, integerKASE, integer, dimension( 3 )ISAVE) SLACN2 estimates the 1-norm…
slabrd.f – Synopsis Functions/Subroutines subroutine slabrd (M, N, NB, A, LDA, D, E, TAUQ, TAUP, X, LDX, Y, LDY) SLABRD reduces the first nb rows and columns of a general matrix to a bidiagonal form. Function/Subroutine Documentation subroutine slabrd (integerM, integerN, integerNB, real, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( *…
slabad.f – Synopsis Functions/Subroutines subroutine slabad (SMALL, LARGE) SLABAD Function/Subroutine Documentation subroutine slabad (realSMALL, realLARGE) SLABAD Purpose: SLABAD takes as input the values computed by SLAMCH for underflow and overflow, and returns the square root of each of these values if the log of LARGE is sufficiently large. This subroutine is intended to identify machines…
slabad.f – Synopsis Functions/Subroutines subroutine slabad (SMALL, LARGE) SLABAD Function/Subroutine Documentation subroutine slabad (realSMALL, realLARGE) SLABAD Purpose: SLABAD takes as input the values computed by SLAMCH for underflow and overflow, and returns the square root of each of these values if the log of LARGE is sufficiently large. This subroutine is intended to identify machines…
slabad.f – Synopsis Functions/Subroutines subroutine slabad (SMALL, LARGE) SLABAD Function/Subroutine Documentation subroutine slabad (realSMALL, realLARGE) SLABAD Purpose: SLABAD takes as input the values computed by SLAMCH for underflow and overflow, and returns the square root of each of these values if the log of LARGE is sufficiently large. This subroutine is intended to identify machines…
sla_wwaddw.f – Synopsis Functions/Subroutines subroutine sla_wwaddw (N, X, Y, W) SLA_WWADDW adds a vector into a doubled-single vector. Function/Subroutine Documentation subroutine sla_wwaddw (integerN, real, dimension( * )X, real, dimension( * )Y, real, dimension( * )W) SLA_WWADDW adds a vector into a doubled-single vector. Purpose: SLA_WWADDW adds a vector W into a doubled-single vector (X, Y)….
sla_syrpvgrw.f – Synopsis Functions/Subroutines REAL function sla_syrpvgrw (UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK) SLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. Function/Subroutine Documentation REAL function sla_syrpvgrw (character*1UPLO, integerN, integerINFO, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, real, dimension(…
sla_syrfsx_extended.f – Synopsis Functions/Subroutines subroutine sla_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) SLA_SYRFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric indefinite matrices by performing extra-precise iterative refinement…
sla_syrcond.f – Synopsis Functions/Subroutines REAL function sla_syrcond (UPLO, N, A, LDA, AF, LDAF, IPIV, CMODE, C, INFO, WORK, IWORK) SLA_SYRCOND estimates the Skeel condition number for a symmetric indefinite matrix. Function/Subroutine Documentation REAL function sla_syrcond (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, integerCMODE, real,…
sla_syamv.f – Synopsis Functions/Subroutines subroutine sla_syamv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) SLA_SYAMV computes a matrix-vector product using a symmetric indefinite matrix to calculate error bounds. Function/Subroutine Documentation subroutine sla_syamv (integerUPLO, integerN, realALPHA, real, dimension( lda, * )A, integerLDA, real, dimension( * )X, integerINCX, realBETA, real, dimension( * )Y, integerINCY) SLA_SYAMV…
sla_porpvgrw.f – Synopsis Functions/Subroutines REAL function sla_porpvgrw (UPLO, NCOLS, A, LDA, AF, LDAF, WORK) SLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix. Function/Subroutine Documentation REAL function sla_porpvgrw (character*1UPLO, integerNCOLS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, real, dimension( * )WORK) SLA_PORPVGRW computes the…
sla_porfsx_extended.f – Synopsis Functions/Subroutines subroutine sla_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) SLA_PORFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric or Hermitian positive-definite matrices by performing extra-precise iterative…
sla_porcond.f – Synopsis Functions/Subroutines REAL function sla_porcond (UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO, WORK, IWORK) SLA_PORCOND estimates the Skeel condition number for a symmetric positive-definite matrix. Function/Subroutine Documentation REAL function sla_porcond (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integerCMODE, real, dimension( * )C, integerINFO, real,…
sla_lin_berr.f – Synopsis Functions/Subroutines subroutine sla_lin_berr (N, NZ, NRHS, RES, AYB, BERR) SLA_LIN_BERR computes a component-wise relative backward error. Function/Subroutine Documentation subroutine sla_lin_berr (integerN, integerNZ, integerNRHS, real, dimension( n, nrhs )RES, real, dimension( n, nrhs )AYB, real, dimension( nrhs )BERR) SLA_LIN_BERR computes a component-wise relative backward error. Purpose: SLA_LIN_BERR computes componentwise relative backward error from…
sla_lin_berr.f – Synopsis Functions/Subroutines subroutine sla_lin_berr (N, NZ, NRHS, RES, AYB, BERR) SLA_LIN_BERR computes a component-wise relative backward error. Function/Subroutine Documentation subroutine sla_lin_berr (integerN, integerNZ, integerNRHS, real, dimension( n, nrhs )RES, real, dimension( n, nrhs )AYB, real, dimension( nrhs )BERR) SLA_LIN_BERR computes a component-wise relative backward error. Purpose: SLA_LIN_BERR computes componentwise relative backward error from…
sla_gerpvgrw.f – Synopsis Functions/Subroutines REAL function sla_gerpvgrw (N, NCOLS, A, LDA, AF, LDAF) SLA_GERPVGRW Function/Subroutine Documentation REAL function sla_gerpvgrw (integerN, integerNCOLS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF) SLA_GERPVGRW Purpose: SLA_GERPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U). The "max absolute element" norm is used. If this is much less…
sla_gerpvgrw.f – Synopsis Functions/Subroutines REAL function sla_gerpvgrw (N, NCOLS, A, LDA, AF, LDAF) SLA_GERPVGRW Function/Subroutine Documentation REAL function sla_gerpvgrw (integerN, integerNCOLS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF) SLA_GERPVGRW Purpose: SLA_GERPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U). The "max absolute element" norm is used. If this is much less…
sla_gerfsx_extended.f – Synopsis Functions/Subroutines subroutine sla_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) SLA_GERFSX_EXTENDED improves the computed solution to a system of linear equations for general matrices by performing extra-precise iterative refinement and…
sla_gercond.f – Synopsis Functions/Subroutines REAL function sla_gercond (TRANS, N, A, LDA, AF, LDAF, IPIV, CMODE, C, INFO, WORK, IWORK) SLA_GERCOND estimates the Skeel condition number for a general matrix. Function/Subroutine Documentation REAL function sla_gercond (characterTRANS, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, integerCMODE, real, dimension(…
sla_gercond.f – Synopsis Functions/Subroutines REAL function sla_gercond (TRANS, N, A, LDA, AF, LDAF, IPIV, CMODE, C, INFO, WORK, IWORK) SLA_GERCOND estimates the Skeel condition number for a general matrix. Function/Subroutine Documentation REAL function sla_gercond (characterTRANS, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, integerCMODE, real, dimension(…