Section 3: library functions
NAME spptrs.f – SYNOPSIS Functions/Subroutines subroutine spptrs (UPLO, N, NRHS, AP, B, LDB, INFO) SPPTRS Function/Subroutine Documentation subroutine spptrs (characterUPLO, integerN, integerNRHS, real, dimension( * )AP, real, dimension( ldb, * )B, integerLDB, integerINFO) SPPTRS Purpose: SPPTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A in packed storage…
NAME spptri.f – SYNOPSIS Functions/Subroutines subroutine spptri (UPLO, N, AP, INFO) SPPTRI Function/Subroutine Documentation subroutine spptri (characterUPLO, integerN, real, dimension( * )AP, integerINFO) SPPTRI Purpose: SPPTRI computes the inverse of a real symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by SPPTRF. Parameters: UPLO UPLO…
NAME spptrf.f – SYNOPSIS Functions/Subroutines subroutine spptrf (UPLO, N, AP, INFO) SPPTRF Function/Subroutine Documentation subroutine spptrf (characterUPLO, integerN, real, dimension( * )AP, integerINFO) SPPTRF Purpose: SPPTRF computes the Cholesky factorization of a real symmetric positive definite matrix A stored in packed format. The factorization has the form A = U**T * U, if UPLO =…
sppsvx.f – Synopsis Functions/Subroutines subroutine sppsvx (FACT, UPLO, N, NRHS, AP, AFP, EQUED, S, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) SPPSVX computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentation subroutine sppsvx (characterFACT, characterUPLO, integerN, integerNRHS, real, dimension( * )AP, real, dimension(…
sppsv.f – Synopsis Functions/Subroutines subroutine sppsv (UPLO, N, NRHS, AP, B, LDB, INFO) SPPSV computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentation subroutine sppsv (characterUPLO, integerN, integerNRHS, real, dimension( * )AP, real, dimension( ldb, * )B, integerLDB, integerINFO) SPPSV computes the solution to system of…
NAME spprfs.f – SYNOPSIS Functions/Subroutines subroutine spprfs (UPLO, N, NRHS, AP, AFP, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) SPPRFS Function/Subroutine Documentation subroutine spprfs (characterUPLO, integerN, integerNRHS, real, dimension( * )AP, real, dimension( * )AFP, real, dimension( ldb, * )B, integerLDB, real, dimension( ldx, * )X, integerLDX, real, dimension( * )FERR, real, dimension(…
NAME sppequ.f – SYNOPSIS Functions/Subroutines subroutine sppequ (UPLO, N, AP, S, SCOND, AMAX, INFO) SPPEQU Function/Subroutine Documentation subroutine sppequ (characterUPLO, integerN, real, dimension( * )AP, real, dimension( * )S, realSCOND, realAMAX, integerINFO) SPPEQU Purpose: SPPEQU computes row and column scalings intended to equilibrate a symmetric positive definite matrix A in packed storage and reduce its…
NAME sppcon.f – SYNOPSIS Functions/Subroutines subroutine sppcon (UPLO, N, AP, ANORM, RCOND, WORK, IWORK, INFO) SPPCON Function/Subroutine Documentation subroutine sppcon (characterUPLO, integerN, real, dimension( * )AP, realANORM, realRCOND, real, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) SPPCON Purpose: SPPCON estimates the reciprocal of the condition number (in the 1-norm) of a real symmetric positive…
NAME spotrs.f – SYNOPSIS Functions/Subroutines subroutine spotrs (UPLO, N, NRHS, A, LDA, B, LDB, INFO) SPOTRS Function/Subroutine Documentation subroutine spotrs (characterUPLO, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, integerINFO) SPOTRS Purpose: SPOTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A…
NAME spotri.f – SYNOPSIS Functions/Subroutines subroutine spotri (UPLO, N, A, LDA, INFO) SPOTRI Function/Subroutine Documentation subroutine spotri (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integerINFO) SPOTRI Purpose: SPOTRI computes the inverse of a real symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF. …
NAME spotrf.f – SYNOPSIS Functions/Subroutines subroutine spotrf (UPLO, N, A, LDA, INFO) SPOTRF Function/Subroutine Documentation subroutine spotrf (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integerINFO) SPOTRF Purpose: SPOTRF computes the Cholesky factorization of a real symmetric positive definite matrix A. The factorization has the form A = U**T * U, if UPLO = ‘U’,…
NAME spotf2.f – SYNOPSIS Functions/Subroutines subroutine spotf2 (UPLO, N, A, LDA, INFO) SPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm). Function/Subroutine Documentation subroutine spotf2 (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integerINFO) SPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm). Purpose: SPOTF2 computes the…
sposvxx.f – Synopsis Functions/Subroutines subroutine sposvxx (FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, EQUED, S, B, LDB, X, LDX, RCOND, RPVGRW, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO) SPOSVXX computes the solution to system of linear equations A * X = B for PO matrices Function/Subroutine Documentation subroutine sposvxx (characterFACT, characterUPLO, integerN,…
sposvx.f – Synopsis Functions/Subroutines subroutine sposvx (FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, EQUED, S, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) SPOSVX computes the solution to system of linear equations A * X = B for PO matrices Function/Subroutine Documentation subroutine sposvx (characterFACT, characterUPLO, integerN, integerNRHS, real, dimension( lda, *…
sposv.f – Synopsis Functions/Subroutines subroutine sposv (UPLO, N, NRHS, A, LDA, B, LDB, INFO) SPOSV computes the solution to system of linear equations A * X = B for PO matrices Function/Subroutine Documentation subroutine sposv (characterUPLO, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, integerINFO) SPOSV computes the solution…
NAME sporfsx.f – SYNOPSIS Functions/Subroutines subroutine sporfsx (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, IWORK, INFO) SPORFSX Function/Subroutine Documentation subroutine sporfsx (characterUPLO, characterEQUED, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, real, dimension( * )S,…
NAME sporfs.f – SYNOPSIS Functions/Subroutines subroutine sporfs (UPLO, N, NRHS, A, LDA, AF, LDAF, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) SPORFS Function/Subroutine Documentation subroutine sporfs (characterUPLO, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, real, dimension( ldb, * )B, integerLDB, real, dimension( ldx, * )X, integerLDX,…
NAME spoequb.f – SYNOPSIS Functions/Subroutines subroutine spoequb (N, A, LDA, S, SCOND, AMAX, INFO) SPOEQUB Function/Subroutine Documentation subroutine spoequb (integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )S, realSCOND, realAMAX, integerINFO) SPOEQUB Purpose: SPOEQU computes row and column scalings intended to equilibrate a symmetric positive definite matrix A and reduce its condition number…
NAME spoequ.f – SYNOPSIS Functions/Subroutines subroutine spoequ (N, A, LDA, S, SCOND, AMAX, INFO) SPOEQU Function/Subroutine Documentation subroutine spoequ (integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )S, realSCOND, realAMAX, integerINFO) SPOEQU Purpose: SPOEQU computes row and column scalings intended to equilibrate a symmetric positive definite matrix A and reduce its condition number…
NAME spocon.f – SYNOPSIS Functions/Subroutines subroutine spocon (UPLO, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO) SPOCON Function/Subroutine Documentation subroutine spocon (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, realANORM, realRCOND, real, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) SPOCON Purpose: SPOCON estimates the reciprocal of the condition number (in the 1-norm) of a…