Section 3: library functions
claset.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine claset (characterUPLO, integerM, integerN, complexALPHA, complexBETA, complex, dimension( lda, * )A, integerLDA)CLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values. Purpose:…
clascl2.f – SynopsisFunctions/Subroutinessubroutine clascl2 (M, N, D, X, LDX) CLASCL2 performs diagonal scaling on a vector. Function/Subroutine Documentationsubroutine 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 where the diagonal REAL…
clascl.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clascl (characterTYPE, integerKL, integerKU, realCFROM, realCTO, integerM, integerN, complex, dimension( lda, * )A, integerLDA, integerINFO)CLASCL multiplies a general rectangular matrix by a real scalar defined as…
clarzt.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clarzt (characterDIRECT, characterSTOREV, integerN, integerK, complex, dimension( ldv, * )V, integerLDV, complex, dimension( * )TAU, complex, dimension( ldt, * )T, integerLDT)CLARZT forms the triangular factor…
clarzb.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clarzb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, integerL, complex, dimension( ldv, * )V, integerLDV, complex, dimension( ldt, * )T, integerLDT,…
clarz.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clarz (characterSIDE, integerM, integerN, integerL, complex, dimension( * )V, integerINCV, complexTAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK)CLARZ applies an elementary reflector (as…
clartv.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clartv (integerN, complex, dimension( * )X, integerINCX, complex, dimension( * )Y, integerINCY, real, dimension( * )C, complex, dimension( * )S,…
clartg.f – SynopsisFunctions/Subroutinessubroutine clartg (F, G, CS, SN, R) CLARTG generates a plane rotation with real cosine and complex sine. Function/Subroutine Documentationsubroutine 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 ] [ F ] [ R…
clarscl2.f – SynopsisFunctions/Subroutinessubroutine clarscl2 (M, N, D, X, LDX) CLARSCL2 performs reciprocal diagonal scaling on a vector. Function/Subroutine Documentationsubroutine 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 <– inv(D) * x where…
clarrv.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clarrv…
clarnv.f – SynopsisFunctions/Subroutinessubroutine clarnv (IDIST, ISEED, N, X) CLARNV returns a vector of random numbers from a uniform or normal distribution. Function/Subroutine Documentationsubroutine 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 of n random complex…
clargv.f – SynopsisFunctions/Subroutinessubroutine clargv (N, X, INCX, Y, INCY, C, INCC) CLARGV generates a vector of plane rotations with real cosines and complex sines. Function/Subroutine Documentationsubroutine clargv (integerN, complex, dimension( * )X, integerINCX, complex, dimension( * )Y, integerINCY, real, dimension( * )C, integerINCC)CLARGV generates a vector of plane rotations with real cosines and complex sines….
clarfx.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clarfx (characterSIDE, integerM, integerN, complex, dimension( * )V, complexTAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK)CLARFX applies an…
clarft.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clarft (characterDIRECT, characterSTOREV, integerN, integerK, complex, dimension( ldv, * )V, integerLDV, complex, dimension( * )TAU, complex, dimension( ldt, * )T, integerLDT)CLARFT forms the triangular factor…
clarfgp.f – SynopsisFunctions/Subroutinessubroutine clarfgp (N, ALPHA, X, INCX, TAU) CLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Function/Subroutine Documentationsubroutine 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 that H**H * (…
clarfg.f – SynopsisFunctions/Subroutinessubroutine clarfg (N, ALPHA, X, INCX, TAU) CLARFG generates an elementary reflector (Householder matrix). Function/Subroutine Documentationsubroutine 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 ) = ( beta ),…
clarfb.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clarfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, complex, dimension( ldv, * )V, integerLDV, complex, dimension( ldt, * )T, integerLDT, complex,…
clarf.f – SynopsisFunctions/Subroutinessubroutine clarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) CLARF applies an elementary reflector to a general rectangular matrix. Function/Subroutine Documentationsubroutine clarf (characterSIDE, integerM, integerN, complex, dimension( * )V, integerINCV, complexTAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK)CLARF applies an elementary reflector to a general rectangular matrix. Purpose:…
clarcm.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clarcm (integerM, integerN, real, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldc, * )C, integerLDC, real, dimension( * )RWORK)CLARCM copies…
clar2v.f – SynopsisFunctions/Subroutinessubroutine clar2v (N, X, Y, Z, INCX, C, S, INCC) CLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. Function/Subroutine Documentationsubroutine clar2v (integerN, complex, dimension( * )X, complex, dimension( * )Y, complex, dimension( * )Z, integerINCX, real, dimension( *…