Linux Manuals session 3

NAME srotmg.f – SYNOPSIS Functions/Subroutines subroutine srotmg (SD1, SD2, SX1, SY1, SPARAM) SROTMG Function/Subroutine Documentation subroutine srotmg (realSD1, realSD2, realSX1, realSY1, real, dimension(5)SPARAM) SROTMG Purpose: CONSTRUCT THE MODIFIED GIVENS TRANSFORMATION MATRIX H WHICH ZEROS THE SECOND COMPONENT OF THE 2-VECTOR (SQRT(SD1)*SX1,SQRT(SD2)*> SY2)**T. WITH SPARAM(1)=SFLAG, H HAS ONE OF THE FOLLOWING FORMS.. SFLAG=-1.E0 SFLAG=0.E0 SFLAG=1.E0 SFLAG=-2.E0…

NAME srotm.f – SYNOPSIS Functions/Subroutines subroutine srotm (N, SX, INCX, SY, INCY, SPARAM) SROTM Function/Subroutine Documentation subroutine srotm (integerN, real, dimension(*)SX, integerINCX, real, dimension(*)SY, integerINCY, real, dimension(5)SPARAM) SROTM Purpose: APPLY THE MODIFIED GIVENS TRANSFORMATION, H, TO THE 2 BY N MATRIX (SX**T) , WHERE **T INDICATES TRANSPOSE. THE ELEMENTS OF SX ARE IN (SX**T) SX(LX+I*INCX),…

NAME srotg.f – SYNOPSIS Functions/Subroutines subroutine srotg (SA, SB, C, S) SROTG Function/Subroutine Documentation subroutine srotg (realSA, realSB, realC, realS) SROTG Purpose: SROTG construct givens plane rotation.   Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Further Details: jack dongarra, linpack, 3/11/78.   Definition at line…

NAME srot.f – SYNOPSIS Functions/Subroutines subroutine srot (N, SX, INCX, SY, INCY, C, S) SROT Function/Subroutine Documentation subroutine srot (integerN, real, dimension(*)SX, integerINCX, real, dimension(*)SY, integerINCY, realC, realS) SROT Purpose: applies a plane rotation.   Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Further Details: jack…

xerbla_array.f – Synopsis Functions/Subroutines subroutine xerbla_array (SRNAME_ARRAY, SRNAME_LEN, INFO) XERBLA_ARRAY Function/Subroutine Documentation subroutine xerbla_array (character(1), dimension(srname_len)SRNAME_ARRAY, integerSRNAME_LEN, integerINFO) XERBLA_ARRAY Purpose: XERBLA_ARRAY assists other languages in calling XERBLA, the LAPACK and BLAS error handler. Rather than taking a Fortran string argument as the function’s name, XERBLA_ARRAY takes an array of single characters along with the array’s…

xerbla_array.f – Synopsis Functions/Subroutines subroutine xerbla_array (SRNAME_ARRAY, SRNAME_LEN, INFO) XERBLA_ARRAY Function/Subroutine Documentation subroutine xerbla_array (character(1), dimension(srname_len)SRNAME_ARRAY, integerSRNAME_LEN, integerINFO) XERBLA_ARRAY Purpose: XERBLA_ARRAY assists other languages in calling XERBLA, the LAPACK and BLAS error handler. Rather than taking a Fortran string argument as the function’s name, XERBLA_ARRAY takes an array of single characters along with the array’s…

xerbla.f – Synopsis Functions/Subroutines subroutine xerbla (SRNAME, INFO) XERBLA Function/Subroutine Documentation subroutine xerbla (character*(*)SRNAME, integerINFO) XERBLA Purpose: XERBLA is an error handler for the LAPACK routines. It is called by an LAPACK routine if an input parameter has an invalid value. A message is printed and execution stops. Installers may consider modifying the STOP statement…

xerbla.f – Synopsis Functions/Subroutines subroutine xerbla (SRNAME, INFO) XERBLA Function/Subroutine Documentation subroutine xerbla (character*(*)SRNAME, integerINFO) XERBLA Purpose: XERBLA is an error handler for the LAPACK routines. It is called by an LAPACK routine if an input parameter has an invalid value. A message is printed and execution stops. Installers may consider modifying the STOP statement…

ilaver.f – Synopsis Functions/Subroutines subroutine ilaver (VERS_MAJOR, VERS_MINOR, VERS_PATCH) ILAVER returns the LAPACK version. Function/Subroutine Documentation subroutine ilaver (integerVERS_MAJOR, integerVERS_MINOR, integerVERS_PATCH) ILAVER returns the LAPACK version. Purpose: This subroutine returns the LAPACK version.   Parameters: VERS_MAJOR return the lapack major version VERS_MINOR return the lapack minor version from the major version VERS_PATCH return the lapack…

ilaver.f – Synopsis Functions/Subroutines subroutine ilaver (VERS_MAJOR, VERS_MINOR, VERS_PATCH) ILAVER returns the LAPACK version. Function/Subroutine Documentation subroutine ilaver (integerVERS_MAJOR, integerVERS_MINOR, integerVERS_PATCH) ILAVER returns the LAPACK version. Purpose: This subroutine returns the LAPACK version.   Parameters: VERS_MAJOR return the lapack major version VERS_MINOR return the lapack minor version from the major version VERS_PATCH return the lapack…

NAME sptts2.f – SYNOPSIS Functions/Subroutines subroutine sptts2 (N, NRHS, D, E, B, LDB) SPTTS2 solves a tridiagonal system of the form AX=B using the L D LH factorization computed by spttrf. Function/Subroutine Documentation subroutine sptts2 (integerN, integerNRHS, real, dimension( * )D, real, dimension( * )E, real, dimension( ldb, * )B, integerLDB) SPTTS2 solves a tridiagonal…

NAME spttrs.f – SYNOPSIS Functions/Subroutines subroutine spttrs (N, NRHS, D, E, B, LDB, INFO) SPTTRS Function/Subroutine Documentation subroutine spttrs (integerN, integerNRHS, real, dimension( * )D, real, dimension( * )E, real, dimension( ldb, * )B, integerLDB, integerINFO) SPTTRS Purpose: SPTTRS solves a tridiagonal system of the form A * X = B using the L*D*L**T factorization…

NAME spttrf.f – SYNOPSIS Functions/Subroutines subroutine spttrf (N, D, E, INFO) SPTTRF Function/Subroutine Documentation subroutine spttrf (integerN, real, dimension( * )D, real, dimension( * )E, integerINFO) SPTTRF Purpose: SPTTRF 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 = U**T*D*U….

sptsvx.f – Synopsis Functions/Subroutines subroutine sptsvx (FACT, N, NRHS, D, E, DF, EF, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, INFO) SPTSVX computes the solution to system of linear equations A * X = B for PT matrices Function/Subroutine Documentation subroutine sptsvx (characterFACT, integerN, integerNRHS, real, dimension( * )D, real, dimension( * )E, real,…

NAME sptsv.f – SYNOPSIS Functions/Subroutines subroutine sptsv (N, NRHS, D, E, B, LDB, INFO) SPTSV computes the solution to system of linear equations A * X = B for PT matrices Function/Subroutine Documentation subroutine sptsv (integerN, integerNRHS, real, dimension( * )D, real, dimension( * )E, real, dimension( ldb, * )B, integerLDB, integerINFO) SPTSV computes the…

NAME sptrfs.f – SYNOPSIS Functions/Subroutines subroutine sptrfs (N, NRHS, D, E, DF, EF, B, LDB, X, LDX, FERR, BERR, WORK, INFO) SPTRFS Function/Subroutine Documentation subroutine sptrfs (integerN, integerNRHS, real, dimension( * )D, real, dimension( * )E, real, dimension( * )DF, real, dimension( * )EF, real, dimension( ldb, * )B, integerLDB, real, dimension( ldx, * )X,…

NAME spteqr.f – SYNOPSIS Functions/Subroutines subroutine spteqr (COMPZ, N, D, E, Z, LDZ, WORK, INFO) SPTEQR Function/Subroutine Documentation subroutine spteqr (characterCOMPZ, integerN, real, dimension( * )D, real, dimension( * )E, real, dimension( ldz, * )Z, integerLDZ, real, dimension( * )WORK, integerINFO) SPTEQR Purpose: SPTEQR computes all eigenvalues and, optionally, eigenvectors of a symmetric positive definite…

NAME sptcon.f – SYNOPSIS Functions/Subroutines subroutine sptcon (N, D, E, ANORM, RCOND, WORK, INFO) SPTCON Function/Subroutine Documentation subroutine sptcon (integerN, real, dimension( * )D, real, dimension( * )E, realANORM, realRCOND, real, dimension( * )WORK, integerINFO) SPTCON Purpose: SPTCON computes the reciprocal of the condition number (in the 1-norm) of a real symmetric positive definite tridiagonal…

NAME spstrf.f – SYNOPSIS Functions/Subroutines subroutine spstrf (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) SPSTRF Function/Subroutine Documentation subroutine spstrf (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( n )PIV, integerRANK, realTOL, real, dimension( 2*n )WORK, integerINFO) SPSTRF Purpose: SPSTRF computes the Cholesky factorization with complete pivoting of a real symmetric positive…

NAME spstf2.f – SYNOPSIS Functions/Subroutines subroutine spstf2 (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) SPSTF2 computes the Cholesky factorization with complete pivoting of a real symmetric or complex Hermitian positive semi-definite matrix. Function/Subroutine Documentation subroutine spstf2 (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( n )PIV, integerRANK, realTOL, real, dimension( 2*n…