Section 3: library functions
slarfb.f – Synopsis Functions/Subroutines subroutine slarfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK) SLARFB applies a block reflector or its transpose to a general rectangular matrix. Function/Subroutine Documentation subroutine slarfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, real, dimension( ldv, * )V, integerLDV, real, dimension( ldt, *…
slarf.f – Synopsis Functions/Subroutines subroutine slarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) SLARF applies an elementary reflector to a general rectangular matrix. Function/Subroutine Documentation subroutine slarf (characterSIDE, integerM, integerN, real, dimension( * )V, integerINCV, realTAU, real, dimension( ldc, * )C, integerLDC, real, dimension( * )WORK) SLARF applies an elementary reflector to a…
slar2v.f – Synopsis Functions/Subroutines subroutine slar2v (N, X, Y, Z, INCX, C, S, INCC) SLAR2V applies a vector of plane rotations with real cosines and real sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. Function/Subroutine Documentation subroutine slar2v (integerN, real, dimension( * )X, real, dimension( * )Y, real, dimension( * )Z, integerINCX,…
slar1v.f – Synopsis Functions/Subroutines subroutine slar1v (N, B1, BN, LAMBDA, D, L, LD, LLD, PIVMIN, GAPTOL, Z, WANTNC, NEGCNT, ZTZ, MINGMA, R, ISUPPZ, NRMINV, RESID, RQCORR, WORK) SLAR1V computes the (scaled) r-th column of the inverse of the submatrix in rows b1 through bn of the tridiagonal matrix LDLT – λI. Function/Subroutine Documentation subroutine slar1v…
slaqtr.f – Synopsis Functions/Subroutines subroutine slaqtr (LTRAN, LREAL, N, T, LDT, B, W, SCALE, X, WORK, INFO) SLAQTR solves a real quasi-triangular system of equations, or a complex quasi-triangular system of special form, in real arithmetic. Function/Subroutine Documentation subroutine slaqtr (logicalLTRAN, logicalLREAL, integerN, real, dimension( ldt, * )T, integerLDT, real, dimension( * )B, realW, realSCALE,…
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 (aggressive…
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) SLAQR1…
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, dimension(…
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, * )A,…
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, dimension(…
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, characterEQUED)…
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( * )C,…
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 the…
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: Univ….
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 matrix….
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: SLAPMR…
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 =…
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 matrix…
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, dimension(…
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( *…