NAME slaqr3.f – SYNOPSIS Functions/Subroutines subroutine slaqr3 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SR, SI, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK) SLAQR3 performs the orthogonal similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix…
NAME slaqr2.f – SYNOPSIS Functions/Subroutines subroutine slaqr2 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SR, SI, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK) SLAQR2 performs the orthogonal similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix…
NAME slaqr1.f – SYNOPSIS Functions/Subroutines subroutine slaqr1 (N, H, LDH, SR1, SI1, SR2, SI2, V) SLAQR1 sets a scalar multiple of the first column of the product of 2-by-2 or 3-by-3 matrix H and specified shifts. Function/Subroutine Documentation subroutine slaqr1 (integerN, real, dimension( ldh, * )H, integerLDH, realSR1, realSI1, realSR2, realSI2, real, dimension( * )V)…
NAME slaqr0.f – SYNOPSIS Functions/Subroutines subroutine slaqr0 (WANTT, WANTZ, N, ILO, IHI, H, LDH, WR, WI, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO) SLAQR0 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. Function/Subroutine Documentation subroutine slaqr0 (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, real, dimension( ldh, * )H, integerLDH, real,…
NAME slaqps.f – SYNOPSIS Functions/Subroutines subroutine slaqps (M, N, OFFSET, NB, KB, A, LDA, JPVT, TAU, VN1, VN2, AUXV, F, LDF) SLAQPS computes a step of QR factorization with column pivoting of a real m-by-n matrix A by using BLAS level 3. Function/Subroutine Documentation subroutine slaqps (integerM, integerN, integerOFFSET, integerNB, integerKB, real, dimension( lda, *…
NAME slaqp2.f – SYNOPSIS Functions/Subroutines subroutine slaqp2 (M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2, WORK) SLAQP2 computes a QR factorization with column pivoting of the matrix block. Function/Subroutine Documentation subroutine slaqp2 (integerM, integerN, integerOFFSET, real, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, real, dimension( * )TAU, real, dimension( * )VN1, real,…
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,…