Section 3: library functions
cpotri.f – SynopsisFunctions/Subroutinessubroutine cpotri (UPLO, N, A, LDA, INFO) CPOTRI Function/Subroutine Documentationsubroutine cpotri (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integerINFO)CPOTRI Purpose: CPOTRI computes the inverse of a complex Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPOTRF. Parameters: UPLO UPLO is CHARACTER*1 =…
cpotrf.f – SynopsisFunctions/Subroutinessubroutine cpotrf (UPLO, N, A, LDA, INFO) CPOTRF Function/Subroutine Documentationsubroutine cpotrf (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integerINFO)CPOTRF Purpose: CPOTRF computes the Cholesky factorization of a complex Hermitian positive definite matrix A. The factorization has the form A = U**H * U, if UPLO = ‘U’, or A = L *…
cpotf2.f – SynopsisFunctions/Subroutinessubroutine cpotf2 (UPLO, N, A, LDA, INFO) CPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm). Function/Subroutine Documentationsubroutine cpotf2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integerINFO)CPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm). Purpose: CPOTF2 computes the Cholesky factorization of a complex…
cposvxx.f – SynopsisFunctions/Subroutinessubroutine cposvxx (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, RWORK, INFO) CPOSVXX computes the solution to system of linear equations A * X = B for PO matrices Function/Subroutine Documentationsubroutine cposvxx (characterFACT, characterUPLO, integerN, integerNRHS, complex, dimension(…
cposvx.f – SynopsisFunctions/Subroutinessubroutine cposvx (FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, EQUED, S, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, RWORK, INFO) CPOSVX computes the solution to system of linear equations A * X = B for PO matrices Function/Subroutine Documentationsubroutine cposvx (characterFACT, characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex,…
cposv.f – SynopsisFunctions/Subroutinessubroutine cposv (UPLO, N, NRHS, A, LDA, B, LDB, INFO) CPOSV computes the solution to system of linear equations A * X = B for PO matrices Function/Subroutine Documentationsubroutine cposv (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integerINFO) CPOSV computes the solution to system of…
cporfsx.f – SynopsisFunctions/Subroutinessubroutine 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 Function/Subroutine Documentationsubroutine cporfsx (characterUPLO, characterEQUED, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, real, dimension( * )S, complex, dimension( ldb, *…
cporfs.f – SynopsisFunctions/Subroutinessubroutine cporfs (UPLO, N, NRHS, A, LDA, AF, LDAF, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CPORFS Function/Subroutine Documentationsubroutine cporfs (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx, * )X, integerLDX, real, dimension( * )FERR,…
cpoequb.f – SynopsisFunctions/Subroutinessubroutine cpoequb (N, A, LDA, S, SCOND, AMAX, INFO) CPOEQUB Function/Subroutine Documentationsubroutine cpoequb (integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )S, realSCOND, realAMAX, integerINFO)CPOEQUB Purpose: CPOEQUB computes row and column scalings intended to equilibrate a symmetric positive definite matrix A and reduce its condition number (with respect to the two-norm)….
cpoequ.f – SynopsisFunctions/Subroutinessubroutine cpoequ (N, A, LDA, S, SCOND, AMAX, INFO) CPOEQU Function/Subroutine Documentationsubroutine cpoequ (integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )S, realSCOND, realAMAX, integerINFO)CPOEQU Purpose: CPOEQU computes row and column scalings intended to equilibrate a Hermitian positive definite matrix A and reduce its condition number (with respect to the two-norm)….
cpocon.f – SynopsisFunctions/Subroutinessubroutine cpocon (UPLO, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO) CPOCON Function/Subroutine Documentationsubroutine cpocon (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, realANORM, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)CPOCON Purpose: CPOCON estimates the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite matrix…
cpftrs.f – SynopsisFunctions/Subroutinessubroutine cpftrs (TRANSR, UPLO, N, NRHS, A, B, LDB, INFO) CPFTRS Function/Subroutine Documentationsubroutine cpftrs (characterTRANSR, characterUPLO, integerN, integerNRHS, complex, dimension( 0: * )A, complex, dimension( ldb, * )B, integerLDB, integerINFO)CPFTRS Purpose: CPFTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A using the Cholesky factorization A…
cpftri.f – SynopsisFunctions/Subroutinessubroutine cpftri (TRANSR, UPLO, N, A, INFO) CPFTRI Function/Subroutine Documentationsubroutine cpftri (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: * )A, integerINFO)CPFTRI Purpose: CPFTRI computes the inverse of a complex Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPFTRF. Parameters: TRANSR TRANSR is CHARACTER*1 =…
cpftrf.f – SynopsisFunctions/Subroutinessubroutine cpftrf (TRANSR, UPLO, N, A, INFO) CPFTRF Function/Subroutine Documentationsubroutine cpftrf (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: * )A, integerINFO)CPFTRF Purpose: CPFTRF computes the Cholesky factorization of a complex Hermitian positive definite matrix A. The factorization has the form A = U**H * U, if UPLO = ‘U’, or A = L *…
cpbtrs.f – SynopsisFunctions/Subroutinessubroutine cpbtrs (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO) CPBTRS Function/Subroutine Documentationsubroutine cpbtrs (characterUPLO, integerN, integerKD, integerNRHS, complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( ldb, * )B, integerLDB, integerINFO)CPBTRS Purpose: CPBTRS solves a system of linear equations A*X = B with a Hermitian positive definite band matrix A using the…
cpbtrf.f – SynopsisFunctions/Subroutinessubroutine cpbtrf (UPLO, N, KD, AB, LDAB, INFO) CPBTRF Function/Subroutine Documentationsubroutine cpbtrf (characterUPLO, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, integerINFO)CPBTRF Purpose: CPBTRF computes the Cholesky factorization of a complex Hermitian positive definite band matrix A. The factorization has the form A = U**H * U, if UPLO = ‘U’, or A…
cpbtf2.f – SynopsisFunctions/Subroutinessubroutine cpbtf2 (UPLO, N, KD, AB, LDAB, INFO) CPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (unblocked algorithm). Function/Subroutine Documentationsubroutine cpbtf2 (characterUPLO, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, integerINFO)CPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (unblocked algorithm). Purpose: CPBTF2 computes the Cholesky…
cpbsvx.f – SynopsisFunctions/Subroutinessubroutine cpbsvx (FACT, UPLO, N, KD, NRHS, AB, LDAB, AFB, LDAFB, EQUED, S, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, RWORK, INFO) CPBSVX computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentationsubroutine cpbsvx (characterFACT, characterUPLO, integerN, integerKD, integerNRHS, complex, dimension( ldab, * )AB,…
cpbsv.f – SynopsisFunctions/Subroutinessubroutine cpbsv (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO) CPBSV computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentationsubroutine cpbsv (characterUPLO, integerN, integerKD, integerNRHS, complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( ldb, * )B, integerLDB, integerINFO) CPBSV computes the solution to…
cpbstf.f – SynopsisFunctions/Subroutinessubroutine cpbstf (UPLO, N, KD, AB, LDAB, INFO) CPBSTF Function/Subroutine Documentationsubroutine cpbstf (characterUPLO, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, integerINFO)CPBSTF Purpose: CPBSTF computes a split Cholesky factorization of a complex Hermitian positive definite band matrix A. This routine is designed to be used in conjunction with CHBGST. The factorization has the…