Section 3: library functions
NAME sstevd.f – SYNOPSIS Functions/Subroutines subroutine sstevd (JOBZ, N, D, E, Z, LDZ, WORK, LWORK, IWORK, LIWORK, INFO) SSTEVD computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine sstevd (characterJOBZ, integerN, real, dimension( * )D, real, dimension( * )E, real, dimension( ldz, * )Z, integerLDZ, real, dimension( *…
NAME sstev.f – SYNOPSIS Functions/Subroutines subroutine sstev (JOBZ, N, D, E, Z, LDZ, WORK, INFO) SSTEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine sstev (characterJOBZ, integerN, real, dimension( * )D, real, dimension( * )E, real, dimension( ldz, * )Z, integerLDZ, real, dimension( * )WORK, integerINFO) SSTEV…
NAME ssterf.f – SYNOPSIS Functions/Subroutines subroutine ssterf (N, D, E, INFO) SSTERF Function/Subroutine Documentation subroutine ssterf (integerN, real, dimension( * )D, real, dimension( * )E, integerINFO) SSTERF Purpose: SSTERF computes all eigenvalues of a symmetric tridiagonal matrix using the Pal-Walker-Kahan variant of the QL or QR algorithm. Parameters: N N is INTEGER The order…
NAME ssteqr.f – SYNOPSIS Functions/Subroutines subroutine ssteqr (COMPZ, N, D, E, Z, LDZ, WORK, INFO) SSTEQR Function/Subroutine Documentation subroutine ssteqr (characterCOMPZ, integerN, real, dimension( * )D, real, dimension( * )E, real, dimension( ldz, * )Z, integerLDZ, real, dimension( * )WORK, integerINFO) SSTEQR Purpose: SSTEQR computes all eigenvalues and, optionally, eigenvectors of a symmetric tridiagonal matrix…
NAME sstemr.f – SYNOPSIS Functions/Subroutines subroutine sstemr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, M, W, Z, LDZ, NZC, ISUPPZ, TRYRAC, WORK, LWORK, IWORK, LIWORK, INFO) SSTEMR Function/Subroutine Documentation subroutine sstemr (characterJOBZ, characterRANGE, integerN, real, dimension( * )D, real, dimension( * )E, realVL, realVU, integerIL, integerIU, integerM, real, dimension( * )W, real, dimension(…
NAME sstein.f – SYNOPSIS Functions/Subroutines subroutine sstein (N, D, E, M, W, IBLOCK, ISPLIT, Z, LDZ, WORK, IWORK, IFAIL, INFO) SSTEIN Function/Subroutine Documentation subroutine sstein (integerN, real, dimension( * )D, real, dimension( * )E, integerM, real, dimension( * )W, integer, dimension( * )IBLOCK, integer, dimension( * )ISPLIT, real, dimension( ldz, * )Z, integerLDZ, real, dimension(…
NAME sstegr.f – SYNOPSIS Functions/Subroutines subroutine sstegr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, IWORK, LIWORK, INFO) SSTEGR Function/Subroutine Documentation subroutine sstegr (characterJOBZ, characterRANGE, integerN, real, dimension( * )D, real, dimension( * )E, realVL, realVU, integerIL, integerIU, realABSTOL, integerM, real, dimension( * )W, real, dimension(…
NAME sstedc.f – SYNOPSIS Functions/Subroutines subroutine sstedc (COMPZ, N, D, E, Z, LDZ, WORK, LWORK, IWORK, LIWORK, INFO) SSTEBZ Function/Subroutine Documentation subroutine sstedc (characterCOMPZ, integerN, real, dimension( * )D, real, dimension( * )E, real, dimension( ldz, * )Z, integerLDZ, real, dimension( * )WORK, integerLWORK, integer, dimension( * )IWORK, integerLIWORK, integerINFO) SSTEBZ Purpose: SSTEDC computes all…
NAME sstebz.f – SYNOPSIS Functions/Subroutines subroutine sstebz (RANGE, ORDER, N, VL, VU, IL, IU, ABSTOL, D, E, M, NSPLIT, W, IBLOCK, ISPLIT, WORK, IWORK, INFO) SSTEBZ Function/Subroutine Documentation subroutine sstebz (characterRANGE, characterORDER, integerN, realVL, realVU, integerIL, integerIU, realABSTOL, real, dimension( * )D, real, dimension( * )E, integerM, integerNSPLIT, real, dimension( * )W, integer, dimension( *…
NAME ssptrs.f – SYNOPSIS Functions/Subroutines subroutine ssptrs (UPLO, N, NRHS, AP, IPIV, B, LDB, INFO) SSPTRS Function/Subroutine Documentation subroutine ssptrs (characterUPLO, integerN, integerNRHS, real, dimension( * )AP, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB, integerINFO) SSPTRS Purpose: SSPTRS solves a system of linear equations A*X = B with a real symmetric matrix…
NAME ssptri.f – SYNOPSIS Functions/Subroutines subroutine ssptri (UPLO, N, AP, IPIV, WORK, INFO) SSPTRI Function/Subroutine Documentation subroutine ssptri (characterUPLO, integerN, real, dimension( * )AP, integer, dimension( * )IPIV, real, dimension( * )WORK, integerINFO) SSPTRI Purpose: SSPTRI computes the inverse of a real symmetric indefinite matrix A in packed storage using the factorization A = U*D*U**T…
NAME ssptrf.f – SYNOPSIS Functions/Subroutines subroutine ssptrf (UPLO, N, AP, IPIV, INFO) SSPTRF Function/Subroutine Documentation subroutine ssptrf (characterUPLO, integerN, real, dimension( * )AP, integer, dimension( * )IPIV, integerINFO) SSPTRF Purpose: SSPTRF computes the factorization of a real symmetric matrix A stored in packed format using the Bunch-Kaufman diagonal pivoting method: A = U*D*U**T or A…
NAME ssptrd.f – SYNOPSIS Functions/Subroutines subroutine ssptrd (UPLO, N, AP, D, E, TAU, INFO) SSPTRD Function/Subroutine Documentation subroutine ssptrd (characterUPLO, integerN, real, dimension( * )AP, real, dimension( * )D, real, dimension( * )E, real, dimension( * )TAU, integerINFO) SSPTRD Purpose: SSPTRD reduces a real symmetric matrix A stored in packed form to symmetric tridiagonal form…
sspsvx.f – Synopsis Functions/Subroutines subroutine sspsvx (FACT, UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) SSPSVX computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentation subroutine sspsvx (characterFACT, characterUPLO, integerN, integerNRHS, real, dimension( * )AP, real, dimension( *…
sspsv.f – Synopsis Functions/Subroutines subroutine sspsv (UPLO, N, NRHS, AP, IPIV, B, LDB, INFO) SSPSV computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentation subroutine sspsv (characterUPLO, integerN, integerNRHS, real, dimension( * )AP, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB, integerINFO) SSPSV computes…
NAME ssprfs.f – SYNOPSIS Functions/Subroutines subroutine ssprfs (UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) SSPRFS Function/Subroutine Documentation subroutine ssprfs (characterUPLO, integerN, integerNRHS, real, dimension( * )AP, real, dimension( * )AFP, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB, real, dimension( ldx, * )X, integerLDX, real,…
NAME sspr2.f – SYNOPSIS Functions/Subroutines subroutine sspr2 (UPLO, N, ALPHA, X, INCX, Y, INCY, AP) SSPR2 Function/Subroutine Documentation subroutine sspr2 (characterUPLO, integerN, realALPHA, real, dimension(*)X, integerINCX, real, dimension(*)Y, integerINCY, real, dimension(*)AP) SSPR2 Purpose: SSPR2 performs the symmetric rank 2 operation A := alpha*x*y**T + alpha*y*x**T + A, where alpha is a scalar, x and y…
NAME sspr.f – SYNOPSIS Functions/Subroutines subroutine sspr (UPLO, N, ALPHA, X, INCX, AP) SSPR Function/Subroutine Documentation subroutine sspr (characterUPLO, integerN, realALPHA, real, dimension(*)X, integerINCX, real, dimension(*)AP) SSPR Purpose: SSPR performs the symmetric rank 1 operation A := alpha*x*x**T + A, where alpha is a real scalar, x is an n element vector and A is…
NAME sspmv.f – SYNOPSIS Functions/Subroutines subroutine sspmv (UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY) SSPMV Function/Subroutine Documentation subroutine sspmv (characterUPLO, integerN, realALPHA, real, dimension(*)AP, real, dimension(*)X, integerINCX, realBETA, real, dimension(*)Y, integerINCY) SSPMV Purpose: SSPMV performs the matrix-vector operation y := alpha*A*x + beta*y, where alpha and beta are scalars, x and y are…
NAME sspgvx.f – SYNOPSIS Functions/Subroutines subroutine sspgvx (ITYPE, JOBZ, RANGE, UPLO, N, AP, BP, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, IWORK, IFAIL, INFO) SSPGST Function/Subroutine Documentation subroutine sspgvx (integerITYPE, characterJOBZ, characterRANGE, characterUPLO, integerN, real, dimension( * )AP, real, dimension( * )BP, realVL, realVU, integerIL, integerIU, realABSTOL, integerM, real, dimension( * )W,…