Section 3: library functions
clasr.f – Synopsis Functions/Subroutines subroutine clasr (SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA) CLASR applies a sequence of plane rotations to a general rectangular matrix. Function/Subroutine Documentation subroutine clasr (characterSIDE, characterPIVOT, characterDIRECT, integerM, integerN, real, dimension( * )C, real, dimension( * )S, complex, dimension( lda, * )A, integerLDA) CLASR applies a sequence of…
claset.f – Synopsis Functions/Subroutines subroutine claset (UPLO, M, N, ALPHA, BETA, A, LDA) CLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values. Function/Subroutine Documentation subroutine claset (characterUPLO, integerM, integerN, complexALPHA, complexBETA, complex, dimension( lda, * )A, integerLDA) CLASET initializes the off-diagonal elements and the diagonal elements of a matrix…
clascl2.f – Synopsis Functions/Subroutines subroutine clascl2 (M, N, D, X, LDX) CLASCL2 performs diagonal scaling on a vector. Function/Subroutine Documentation subroutine clascl2 (integerM, integerN, real, dimension( * )D, complex, dimension( ldx, * )X, integerLDX) CLASCL2 performs diagonal scaling on a vector. Purpose: CLASCL2 performs a diagonal scaling on a vector: x <– D * x…
clascl.f – Synopsis Functions/Subroutines subroutine clascl (TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO) CLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom. Function/Subroutine Documentation subroutine clascl (characterTYPE, integerKL, integerKU, realCFROM, realCTO, integerM, integerN, complex, dimension( lda, * )A, integerLDA, integerINFO) CLASCL multiplies a general rectangular matrix by a…
clarzt.f – Synopsis Functions/Subroutines subroutine clarzt (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) CLARZT forms the triangular factor T of a block reflector H = I – vtvH. Function/Subroutine Documentation subroutine clarzt (characterDIRECT, characterSTOREV, integerN, integerK, complex, dimension( ldv, * )V, integerLDV, complex, dimension( * )TAU, complex, dimension( ldt, * )T, integerLDT) CLARZT…
clarzb.f – Synopsis Functions/Subroutines subroutine clarzb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK) CLARZB applies a block reflector or its conjugate-transpose to a general matrix. Function/Subroutine Documentation subroutine clarzb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, integerL, complex, dimension( ldv, * )V, integerLDV, complex, dimension( ldt,…
clarz.f – Synopsis Functions/Subroutines subroutine clarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix. Function/Subroutine Documentation subroutine clarz (characterSIDE, integerM, integerN, integerL, complex, dimension( * )V, integerINCV, complexTAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK) CLARZ applies…
clartv.f – Synopsis Functions/Subroutines subroutine clartv (N, X, INCX, Y, INCY, C, S, INCC) CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors. Function/Subroutine Documentation subroutine clartv (integerN, complex, dimension( * )X, integerINCX, complex, dimension( * )Y, integerINCY, real, dimension( * )C, complex,…
clartg.f – Synopsis Functions/Subroutines subroutine clartg (F, G, CS, SN, R) CLARTG generates a plane rotation with real cosine and complex sine. Function/Subroutine Documentation subroutine clartg (complexF, complexG, realCS, complexSN, complexR) CLARTG generates a plane rotation with real cosine and complex sine. Purpose: CLARTG generates a plane rotation so that [ CS SN ] […
clarscl2.f – Synopsis Functions/Subroutines subroutine clarscl2 (M, N, D, X, LDX) CLARSCL2 performs reciprocal diagonal scaling on a vector. Function/Subroutine Documentation subroutine clarscl2 (integerM, integerN, real, dimension( * )D, complex, dimension( ldx, * )X, integerLDX) CLARSCL2 performs reciprocal diagonal scaling on a vector. Purpose: CLARSCL2 performs a reciprocal diagonal scaling on an vector: x <–…
clarrv.f – Synopsis Functions/Subroutines subroutine clarrv (N, VL, VU, D, L, PIVMIN, ISPLIT, M, DOL, DOU, MINRGP, RTOL1, RTOL2, W, WERR, WGAP, IBLOCK, INDEXW, GERS, Z, LDZ, ISUPPZ, WORK, IWORK, INFO) CLARRV computes the eigenvectors of the tridiagonal matrix T = L D LT given L, D and the eigenvalues of L D LT. Function/Subroutine…
clarnv.f – Synopsis Functions/Subroutines subroutine clarnv (IDIST, ISEED, N, X) CLARNV returns a vector of random numbers from a uniform or normal distribution. Function/Subroutine Documentation subroutine clarnv (integerIDIST, integer, dimension( 4 )ISEED, integerN, complex, dimension( * )X) CLARNV returns a vector of random numbers from a uniform or normal distribution. Purpose: CLARNV returns a vector…
clargv.f – Synopsis Functions/Subroutines subroutine clargv (N, X, INCX, Y, INCY, C, INCC) CLARGV generates a vector of plane rotations with real cosines and complex sines. Function/Subroutine Documentation subroutine clargv (integerN, complex, dimension( * )X, integerINCX, complex, dimension( * )Y, integerINCY, real, dimension( * )C, integerINCC) CLARGV generates a vector of plane rotations with real…
clarfx.f – Synopsis Functions/Subroutines subroutine clarfx (SIDE, M, N, V, TAU, C, LDC, WORK) CLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10. Function/Subroutine Documentation subroutine clarfx (characterSIDE, integerM, integerN, complex, dimension( * )V, complexTAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( *…
clarft.f – Synopsis Functions/Subroutines subroutine clarft (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) CLARFT forms the triangular factor T of a block reflector H = I – vtvH Function/Subroutine Documentation subroutine clarft (characterDIRECT, characterSTOREV, integerN, integerK, complex, dimension( ldv, * )V, integerLDV, complex, dimension( * )TAU, complex, dimension( ldt, * )T, integerLDT) CLARFT…
clarfgp.f – Synopsis Functions/Subroutines subroutine clarfgp (N, ALPHA, X, INCX, TAU) CLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Function/Subroutine Documentation subroutine clarfgp (integerN, complexALPHA, complex, dimension( * )X, integerINCX, complexTAU) CLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Purpose: CLARFGP generates a complex elementary reflector H of order n, such…
clarfg.f – Synopsis Functions/Subroutines subroutine clarfg (N, ALPHA, X, INCX, TAU) CLARFG generates an elementary reflector (Householder matrix). Function/Subroutine Documentation subroutine clarfg (integerN, complexALPHA, complex, dimension( * )X, integerINCX, complexTAU) CLARFG generates an elementary reflector (Householder matrix). Purpose: CLARFG generates a complex elementary reflector H of order n, such that H**H * ( alpha )…
clarfb.f – Synopsis Functions/Subroutines subroutine clarfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK) CLARFB applies a block reflector or its conjugate-transpose to a general rectangular matrix. Function/Subroutine Documentation subroutine clarfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, complex, dimension( ldv, * )V, integerLDV, complex, dimension( ldt, *…
clarf.f – Synopsis Functions/Subroutines subroutine clarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) CLARF applies an elementary reflector to a general rectangular matrix. Function/Subroutine Documentation subroutine clarf (characterSIDE, integerM, integerN, complex, dimension( * )V, integerINCV, complexTAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK) CLARF applies an elementary reflector to a…
clarcm.f – Synopsis Functions/Subroutines subroutine clarcm (M, N, A, LDA, B, LDB, C, LDC, RWORK) CLARCM copies all or part of a real two-dimensional array to a complex array. Function/Subroutine Documentation subroutine clarcm (integerM, integerN, real, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldc, * )C, integerLDC, real, dimension(…