Section 3: library functions
NAME dptts2.f – SYNOPSIS Functions/Subroutines subroutine dptts2 (N, NRHS, D, E, B, LDB) DPTTS2 solves a tridiagonal system of the form AX=B using the L D LH factorization computed by spttrf. Function/Subroutine Documentation subroutine dptts2 (integerN, integerNRHS, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( ldb, * )B, integerLDB) DPTTS2…
NAME dpttrs.f – SYNOPSIS Functions/Subroutines subroutine dpttrs (N, NRHS, D, E, B, LDB, INFO) DPTTRS Function/Subroutine Documentation subroutine dpttrs (integerN, integerNRHS, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( ldb, * )B, integerLDB, integerINFO) DPTTRS Purpose: DPTTRS solves a tridiagonal system of the form A * X = B using…
NAME dpttrf.f – SYNOPSIS Functions/Subroutines subroutine dpttrf (N, D, E, INFO) DPTTRF Function/Subroutine Documentation subroutine dpttrf (integerN, double precision, dimension( * )D, double precision, dimension( * )E, integerINFO) DPTTRF Purpose: DPTTRF computes the L*D*L**T factorization of a real symmetric positive definite tridiagonal matrix A. The factorization may also be regarded as having the form A…
NAME dptsvx.f – SYNOPSIS Functions/Subroutines subroutine dptsvx (FACT, N, NRHS, D, E, DF, EF, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, INFO) DPTSVX computes the solution to system of linear equations A * X = B for PT matrices Function/Subroutine Documentation subroutine dptsvx (characterFACT, integerN, integerNRHS, double precision, dimension( * )D, double precision, dimension(…
NAME dptsv.f – SYNOPSIS Functions/Subroutines subroutine dptsv (N, NRHS, D, E, B, LDB, INFO) DPTSV computes the solution to system of linear equations A * X = B for PT matrices Function/Subroutine Documentation subroutine dptsv (integerN, integerNRHS, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( ldb, * )B, integerLDB, integerINFO)…
NAME dptrfs.f – SYNOPSIS Functions/Subroutines subroutine dptrfs (N, NRHS, D, E, DF, EF, B, LDB, X, LDX, FERR, BERR, WORK, INFO) DPTRFS Function/Subroutine Documentation subroutine dptrfs (integerN, integerNRHS, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( * )DF, double precision, dimension( * )EF, double precision, dimension( ldb, * )B, integerLDB,…
NAME dpteqr.f – SYNOPSIS Functions/Subroutines subroutine dpteqr (COMPZ, N, D, E, Z, LDZ, WORK, INFO) DPTEQR Function/Subroutine Documentation subroutine dpteqr (characterCOMPZ, integerN, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( ldz, * )Z, integerLDZ, double precision, dimension( * )WORK, integerINFO) DPTEQR Purpose: DPTEQR computes all eigenvalues and, optionally, eigenvectors of…
NAME dptcon.f – SYNOPSIS Functions/Subroutines subroutine dptcon (N, D, E, ANORM, RCOND, WORK, INFO) DPTCON Function/Subroutine Documentation subroutine dptcon (integerN, double precision, dimension( * )D, double precision, dimension( * )E, double precisionANORM, double precisionRCOND, double precision, dimension( * )WORK, integerINFO) DPTCON Purpose: DPTCON computes the reciprocal of the condition number (in the 1-norm) of a…
NAME dpstrf.f – SYNOPSIS Functions/Subroutines subroutine dpstrf (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) DPSTRF Function/Subroutine Documentation subroutine dpstrf (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, integer, dimension( n )PIV, integerRANK, double precisionTOL, double precision, dimension( 2*n )WORK, integerINFO) DPSTRF Purpose: DPSTRF computes the Cholesky factorization with complete pivoting of a…
NAME dpstf2.f – SYNOPSIS Functions/Subroutines subroutine dpstf2 (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) DPSTF2 computes the Cholesky factorization with complete pivoting of a real symmetric or complex Hermitian positive semi-definite matrix. Function/Subroutine Documentation subroutine dpstf2 (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, integer, dimension( n )PIV, integerRANK, double precisionTOL, double…
NAME dpptrs.f – SYNOPSIS Functions/Subroutines subroutine dpptrs (UPLO, N, NRHS, AP, B, LDB, INFO) DPPTRS Function/Subroutine Documentation subroutine dpptrs (characterUPLO, integerN, integerNRHS, double precision, dimension( * )AP, double precision, dimension( ldb, * )B, integerLDB, integerINFO) DPPTRS Purpose: DPPTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A in…
NAME dpptri.f – SYNOPSIS Functions/Subroutines subroutine dpptri (UPLO, N, AP, INFO) DPPTRI Function/Subroutine Documentation subroutine dpptri (characterUPLO, integerN, double precision, dimension( * )AP, integerINFO) DPPTRI Purpose: DPPTRI 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 DPPTRF. Parameters: UPLO…
NAME dpptrf.f – SYNOPSIS Functions/Subroutines subroutine dpptrf (UPLO, N, AP, INFO) DPPTRF Function/Subroutine Documentation subroutine dpptrf (characterUPLO, integerN, double precision, dimension( * )AP, integerINFO) DPPTRF Purpose: DPPTRF 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…
NAME dppsvx.f – SYNOPSIS Functions/Subroutines subroutine dppsvx (FACT, UPLO, N, NRHS, AP, AFP, EQUED, S, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) DPPSVX computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentation subroutine dppsvx (characterFACT, characterUPLO, integerN, integerNRHS, double precision, dimension( * )AP,…
NAME dppsv.f – SYNOPSIS Functions/Subroutines subroutine dppsv (UPLO, N, NRHS, AP, B, LDB, INFO) DPPSV computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentation subroutine dppsv (characterUPLO, integerN, integerNRHS, double precision, dimension( * )AP, double precision, dimension( ldb, * )B, integerLDB, integerINFO) DPPSV computes the solution…
NAME dpprfs.f – SYNOPSIS Functions/Subroutines subroutine dpprfs (UPLO, N, NRHS, AP, AFP, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) DPPRFS Function/Subroutine Documentation subroutine dpprfs (characterUPLO, integerN, integerNRHS, double precision, dimension( * )AP, double precision, dimension( * )AFP, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( ldx, * )X, integerLDX, double precision,…
NAME dppequ.f – SYNOPSIS Functions/Subroutines subroutine dppequ (UPLO, N, AP, S, SCOND, AMAX, INFO) DPPEQU Function/Subroutine Documentation subroutine dppequ (characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, integerINFO) DPPEQU Purpose: DPPEQU computes row and column scalings intended to equilibrate a symmetric positive definite matrix A in packed…
NAME dppcon.f – SYNOPSIS Functions/Subroutines subroutine dppcon (UPLO, N, AP, ANORM, RCOND, WORK, IWORK, INFO) DPPCON Function/Subroutine Documentation subroutine dppcon (characterUPLO, integerN, double precision, dimension( * )AP, double precisionANORM, double precisionRCOND, double precision, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) DPPCON Purpose: DPPCON estimates the reciprocal of the condition number (in the 1-norm) of…
NAME dpotrs.f – SYNOPSIS Functions/Subroutines subroutine dpotrs (UPLO, N, NRHS, A, LDA, B, LDB, INFO) DPOTRS Function/Subroutine Documentation subroutine dpotrs (characterUPLO, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, integerINFO) DPOTRS Purpose: DPOTRS solves a system of linear equations A*X = B with a symmetric positive definite…
NAME dpotri.f – SYNOPSIS Functions/Subroutines subroutine dpotri (UPLO, N, A, LDA, INFO) DPOTRI Function/Subroutine Documentation subroutine dpotri (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, integerINFO) DPOTRI Purpose: DPOTRI 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 DPOTRF….