Section 3: library functions
NAME cpttrs.f – SYNOPSIS Functions/Subroutines subroutine cpttrs (UPLO, N, NRHS, D, E, B, LDB, INFO) CPTTRS Function/Subroutine Documentation subroutine cpttrs (characterUPLO, integerN, integerNRHS, real, dimension( * )D, complex, dimension( * )E, complex, dimension( ldb, * )B, integerLDB, integerINFO) CPTTRS Purpose: CPTTRS solves a tridiagonal system of the form A * X = B using the…
NAME cpttrf.f – SYNOPSIS Functions/Subroutines subroutine cpttrf (N, D, E, INFO) CPTTRF Function/Subroutine Documentation subroutine cpttrf (integerN, real, dimension( * )D, complex, dimension( * )E, integerINFO) CPTTRF Purpose: CPTTRF computes the L*D*L**H factorization of a complex Hermitian positive definite tridiagonal matrix A. The factorization may also be regarded as having the form A = U**H…
NAME cptsvx.f – SYNOPSIS Functions/Subroutines subroutine cptsvx (FACT, N, NRHS, D, E, DF, EF, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, RWORK, INFO) CPTSVX computes the solution to system of linear equations A * X = B for PT matrices Function/Subroutine Documentation subroutine cptsvx (characterFACT, integerN, integerNRHS, real, dimension( * )D, complex, dimension( *…
NAME cptsv.f – SYNOPSIS Functions/Subroutines subroutine cptsv (N, NRHS, D, E, B, LDB, INFO) CPTSV computes the solution to system of linear equations A * X = B for PT matrices Function/Subroutine Documentation subroutine cptsv (integerN, integerNRHS, real, dimension( * )D, complex, dimension( * )E, complex, dimension( ldb, * )B, integerLDB, integerINFO) CPTSV computes the…
NAME cptrfs.f – SYNOPSIS Functions/Subroutines subroutine cptrfs (UPLO, N, NRHS, D, E, DF, EF, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CPTRFS Function/Subroutine Documentation subroutine cptrfs (characterUPLO, integerN, integerNRHS, real, dimension( * )D, complex, dimension( * )E, real, dimension( * )DF, complex, dimension( * )EF, complex, dimension( ldb, * )B, integerLDB, complex, dimension(…
NAME cpteqr.f – SYNOPSIS Functions/Subroutines subroutine cpteqr (COMPZ, N, D, E, Z, LDZ, WORK, INFO) CPTEQR Function/Subroutine Documentation subroutine cpteqr (characterCOMPZ, integerN, real, dimension( * )D, real, dimension( * )E, complex, dimension( ldz, * )Z, integerLDZ, real, dimension( * )WORK, integerINFO) CPTEQR Purpose: CPTEQR computes all eigenvalues and, optionally, eigenvectors of a symmetric positive definite…
NAME cptcon.f – SYNOPSIS Functions/Subroutines subroutine cptcon (N, D, E, ANORM, RCOND, RWORK, INFO) CPTCON Function/Subroutine Documentation subroutine cptcon (integerN, real, dimension( * )D, complex, dimension( * )E, realANORM, realRCOND, real, dimension( * )RWORK, integerINFO) CPTCON Purpose: CPTCON computes the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite tridiagonal…
NAME cpstrf.f – SYNOPSIS Functions/Subroutines subroutine cpstrf (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) CPSTRF Function/Subroutine Documentation subroutine cpstrf (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( n )PIV, integerRANK, realTOL, real, dimension( 2*n )WORK, integerINFO) CPSTRF Purpose: CPSTRF computes the Cholesky factorization with complete pivoting of a complex Hermitian positive…
NAME cpstf2.f – SYNOPSIS Functions/Subroutines subroutine cpstf2 (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) CPSTF2 computes the Cholesky factorization with complete pivoting of a real symmetric or complex Hermitian positive semi-definite matrix. Function/Subroutine Documentation subroutine cpstf2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( n )PIV, integerRANK, realTOL, real, dimension( 2*n…
NAME cpptrs.f – SYNOPSIS Functions/Subroutines subroutine cpptrs (UPLO, N, NRHS, AP, B, LDB, INFO) CPPTRS Function/Subroutine Documentation subroutine cpptrs (characterUPLO, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension( ldb, * )B, integerLDB, integerINFO) CPPTRS Purpose: CPPTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A in packed storage…
NAME cpptri.f – SYNOPSIS Functions/Subroutines subroutine cpptri (UPLO, N, AP, INFO) CPPTRI Function/Subroutine Documentation subroutine cpptri (characterUPLO, integerN, complex, dimension( * )AP, integerINFO) CPPTRI Purpose: CPPTRI 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 CPPTRF. Parameters: UPLO UPLO…
NAME cpptrf.f – SYNOPSIS Functions/Subroutines subroutine cpptrf (UPLO, N, AP, INFO) CPPTRF Function/Subroutine Documentation subroutine cpptrf (characterUPLO, integerN, complex, dimension( * )AP, integerINFO) CPPTRF Purpose: CPPTRF computes the Cholesky factorization of a complex Hermitian positive definite matrix A stored in packed format. The factorization has the form A = U**H * U, if UPLO =…
NAME cppsvx.f – SYNOPSIS Functions/Subroutines subroutine cppsvx (FACT, UPLO, N, NRHS, AP, AFP, EQUED, S, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, RWORK, INFO) CPPSVX computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentation subroutine cppsvx (characterFACT, characterUPLO, integerN, integerNRHS, complex, dimension( * )AP, complex,…
NAME cppsv.f – SYNOPSIS Functions/Subroutines subroutine cppsv (UPLO, N, NRHS, AP, B, LDB, INFO) CPPSV computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentation subroutine cppsv (characterUPLO, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension( ldb, * )B, integerLDB, integerINFO) CPPSV computes the solution to system…
NAME cpprfs.f – SYNOPSIS Functions/Subroutines subroutine cpprfs (UPLO, N, NRHS, AP, AFP, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CPPRFS Function/Subroutine Documentation subroutine cpprfs (characterUPLO, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension( * )AFP, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx, * )X, integerLDX, real, dimension( * )FERR, real, dimension(…
NAME cppequ.f – SYNOPSIS Functions/Subroutines subroutine cppequ (UPLO, N, AP, S, SCOND, AMAX, INFO) CPPEQU Function/Subroutine Documentation subroutine cppequ (characterUPLO, integerN, complex, dimension( * )AP, real, dimension( * )S, realSCOND, realAMAX, integerINFO) CPPEQU Purpose: CPPEQU computes row and column scalings intended to equilibrate a Hermitian positive definite matrix A in packed storage and reduce its…
NAME cppcon.f – SYNOPSIS Functions/Subroutines subroutine cppcon (UPLO, N, AP, ANORM, RCOND, WORK, RWORK, INFO) CPPCON Function/Subroutine Documentation subroutine cppcon (characterUPLO, integerN, complex, dimension( * )AP, realANORM, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO) CPPCON Purpose: CPPCON estimates the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive…
NAME cpotrs.f – SYNOPSIS Functions/Subroutines subroutine cpotrs (UPLO, N, NRHS, A, LDA, B, LDB, INFO) CPOTRS Function/Subroutine Documentation subroutine cpotrs (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integerINFO) CPOTRS Purpose: CPOTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A…
NAME cpotri.f – SYNOPSIS Functions/Subroutines subroutine cpotri (UPLO, N, A, LDA, INFO) CPOTRI Function/Subroutine Documentation subroutine 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. …
NAME cpotrf.f – SYNOPSIS Functions/Subroutines subroutine cpotrf (UPLO, N, A, LDA, INFO) CPOTRF Function/Subroutine Documentation subroutine 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’,…