Section 3: library functions
NAME slaqge.f – SYNOPSIS Functions/Subroutines subroutine slaqge (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, EQUED) SLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ. Function/Subroutine Documentation subroutine slaqge (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX,…
NAME slaqgb.f – SYNOPSIS Functions/Subroutines subroutine slaqgb (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, EQUED) SLAQGB scales a general band matrix, using row and column scaling factors computed by sgbequ. Function/Subroutine Documentation subroutine slaqgb (integerM, integerN, integerKL, integerKU, real, dimension( ldab, * )AB, integerLDAB, real, dimension( * )R, real, dimension( *…
NAME slapy3.f – SYNOPSIS Functions/Subroutines REAL function slapy3 (X, Y, Z) SLAPY3 returns sqrt(x2+y2+z2). Function/Subroutine Documentation REAL function slapy3 (realX, realY, realZ) SLAPY3 returns sqrt(x2+y2+z2). Purpose: SLAPY3 returns sqrt(x**2+y**2+z**2), taking care not to cause unnecessary overflow. Parameters: X X is REAL Y Y is REAL Z Z is REAL X, Y and Z specify…
NAME slapy2.f – SYNOPSIS Functions/Subroutines REAL function slapy2 (X, Y) SLAPY2 returns sqrt(x2+y2). Function/Subroutine Documentation REAL function slapy2 (realX, realY) SLAPY2 returns sqrt(x2+y2). Purpose: SLAPY2 returns sqrt(x**2+y**2), taking care not to cause unnecessary overflow. Parameters: X X is REAL Y Y is REAL X and Y specify the values x and y. Author:…
NAME slapmt.f – SYNOPSIS Functions/Subroutines subroutine slapmt (FORWRD, M, N, X, LDX, K) SLAPMT performs a forward or backward permutation of the columns of a matrix. Function/Subroutine Documentation subroutine slapmt (logicalFORWRD, integerM, integerN, real, dimension( ldx, * )X, integerLDX, integer, dimension( * )K) SLAPMT performs a forward or backward permutation of the columns of a…
NAME slapmr.f – SYNOPSIS Functions/Subroutines subroutine slapmr (FORWRD, M, N, X, LDX, K) SLAPMR rearranges rows of a matrix as specified by a permutation vector. Function/Subroutine Documentation subroutine slapmr (logicalFORWRD, integerM, integerN, real, dimension( ldx, * )X, integerLDX, integer, dimension( * )K) SLAPMR rearranges rows of a matrix as specified by a permutation vector. Purpose:…
NAME slapll.f – SYNOPSIS Functions/Subroutines subroutine slapll (N, X, INCX, Y, INCY, SSMIN) SLAPLL measures the linear dependence of two vectors. Function/Subroutine Documentation subroutine slapll (integerN, real, dimension( * )X, integerINCX, real, dimension( * )Y, integerINCY, realSSMIN) SLAPLL measures the linear dependence of two vectors. Purpose: Given two column vectors X and Y, let A…
NAME slanv2.f – SYNOPSIS Functions/Subroutines subroutine slanv2 (A, B, C, D, RT1R, RT1I, RT2R, RT2I, CS, SN) SLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric matrix in standard form. Function/Subroutine Documentation subroutine slanv2 (realA, realB, realC, realD, realRT1R, realRT1I, realRT2R, realRT2I, realCS, realSN) SLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric…
NAME slantr.f – SYNOPSIS Functions/Subroutines REAL function slantr (NORM, UPLO, DIAG, M, N, A, LDA, WORK) SLANTR returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a trapezoidal or triangular matrix. Function/Subroutine Documentation REAL function slantr (characterNORM, characterUPLO, characterDIAG, integerM, integerN, real,…
NAME slantp.f – SYNOPSIS Functions/Subroutines REAL function slantp (NORM, UPLO, DIAG, N, AP, WORK) SLANTP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a triangular matrix supplied in packed form. Function/Subroutine Documentation REAL function slantp (characterNORM, characterUPLO, characterDIAG, integerN, real, dimension(…
NAME slantb.f – SYNOPSIS Functions/Subroutines REAL function slantb (NORM, UPLO, DIAG, N, K, AB, LDAB, WORK) SLANTB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a triangular band matrix. Function/Subroutine Documentation REAL function slantb (characterNORM, characterUPLO, characterDIAG, integerN, integerK, real, dimension(…
NAME slansy.f – SYNOPSIS Functions/Subroutines REAL function slansy (NORM, UPLO, N, A, LDA, WORK) SLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric matrix. Function/Subroutine Documentation REAL function slansy (characterNORM, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA,…
NAME slanst.f – SYNOPSIS Functions/Subroutines REAL function slanst (NORM, N, D, E) SLANST returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric tridiagonal matrix. Function/Subroutine Documentation REAL function slanst (characterNORM, integerN, real, dimension( * )D, real, dimension( * )E)…
NAME slansp.f – SYNOPSIS Functions/Subroutines REAL function slansp (NORM, UPLO, N, AP, WORK) SLANSP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a symmetric matrix supplied in packed form. Function/Subroutine Documentation REAL function slansp (characterNORM, characterUPLO, integerN, real, dimension( * )AP,…
NAME slansf.f – SYNOPSIS Functions/Subroutines REAL function slansf (NORM, TRANSR, UPLO, N, A, WORK) SLANSF Function/Subroutine Documentation REAL function slansf (characterNORM, characterTRANSR, characterUPLO, integerN, real, dimension( 0: * )A, real, dimension( 0: * )WORK) SLANSF Purpose: SLANSF returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element…
NAME slansb.f – SYNOPSIS Functions/Subroutines REAL function slansb (NORM, UPLO, N, K, AB, LDAB, WORK) SLANSB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a symmetric band matrix. Function/Subroutine Documentation REAL function slansb (characterNORM, characterUPLO, integerN, integerK, real, dimension( ldab, *…
NAME slanhs.f – SYNOPSIS Functions/Subroutines REAL function slanhs (NORM, N, A, LDA, WORK) SLANHS returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of an upper Hessenberg matrix. Function/Subroutine Documentation REAL function slanhs (characterNORM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )WORK) SLANHS returns…
NAME slangt.f – SYNOPSIS Functions/Subroutines REAL function slangt (NORM, N, DL, D, DU) SLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix. Function/Subroutine Documentation REAL function slangt (characterNORM, integerN, real, dimension( * )DL, real, dimension( * )D, real, dimension( * )DU)…
NAME slange.f – SYNOPSIS Functions/Subroutines REAL function slange (NORM, M, N, A, LDA, WORK) SLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix. Function/Subroutine Documentation REAL function slange (characterNORM, integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )WORK)…
NAME slangb.f – SYNOPSIS Functions/Subroutines REAL function slangb (NORM, N, KL, KU, AB, LDAB, WORK) SLANGB returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of general band matrix. Function/Subroutine Documentation REAL function slangb (characterNORM, integerN, integerKL, integerKU, real, dimension( ldab, * )AB, integerLDAB, real, dimension( *…