Section 3: library functions
clatrz.f – SynopsisFunctions/Subroutinessubroutine clatrz (M, N, L, A, LDA, TAU, WORK) CLATRZ factors an upper trapezoidal matrix by means of unitary transformations. Function/Subroutine Documentationsubroutine clatrz (integerM, integerN, integerL, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK)CLATRZ factors an upper trapezoidal matrix by means of unitary transformations. Purpose: CLATRZ factors…
clatrs.f – SynopsisFunctions/Subroutinessubroutine clatrs (UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE, CNORM, INFO) CLATRS solves a triangular system of equations with the scale factor set to prevent overflow. Function/Subroutine Documentationsubroutine clatrs (characterUPLO, characterTRANS, characterDIAG, characterNORMIN, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )X, realSCALE, real, dimension( * )CNORM, integerINFO)CLATRS solves…
clatrd.f – SynopsisFunctions/Subroutinessubroutine clatrd (UPLO, N, NB, A, LDA, E, TAU, W, LDW) CLATRD reduces the first nb rows and columns of a symmetric/Hermitian matrix A to real tridiagonal form by an unitary similarity transformation. Function/Subroutine Documentationsubroutine clatrd (characterUPLO, integerN, integerNB, complex, dimension( lda, * )A, integerLDA, real, dimension( * )E, complex, dimension( * )TAU,…
clatps.f – SynopsisFunctions/Subroutinessubroutine clatps (UPLO, TRANS, DIAG, NORMIN, N, AP, X, SCALE, CNORM, INFO) CLATPS solves a triangular system of equations with the matrix held in packed storage. Function/Subroutine Documentationsubroutine clatps (characterUPLO, characterTRANS, characterDIAG, characterNORMIN, integerN, complex, dimension( * )AP, complex, dimension( * )X, realSCALE, real, dimension( * )CNORM, integerINFO)CLATPS solves a triangular system of…
clatdf.f – SynopsisFunctions/Subroutinessubroutine clatdf (IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV, JPIV) CLATDF uses the LU factorization of the n-by-n matrix computed by sgetc2 and computes a contribution to the reciprocal Dif-estimate. Function/Subroutine Documentationsubroutine clatdf (integerIJOB, integerN, complex, dimension( ldz, * )Z, integerLDZ, complex, dimension( * )RHS, realRDSUM, realRDSCAL, integer, dimension( * )IPIV, integer,…
clatdf.f – SynopsisFunctions/Subroutinessubroutine clatdf (IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV, JPIV) CLATDF uses the LU factorization of the n-by-n matrix computed by sgetc2 and computes a contribution to the reciprocal Dif-estimate. Function/Subroutine Documentationsubroutine clatdf (integerIJOB, integerN, complex, dimension( ldz, * )Z, integerLDZ, complex, dimension( * )RHS, realRDSUM, realRDSCAL, integer, dimension( * )IPIV, integer,…
clatdf.f – SynopsisFunctions/Subroutinessubroutine clatdf (IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV, JPIV) CLATDF uses the LU factorization of the n-by-n matrix computed by sgetc2 and computes a contribution to the reciprocal Dif-estimate. Function/Subroutine Documentationsubroutine clatdf (integerIJOB, integerN, complex, dimension( ldz, * )Z, integerLDZ, complex, dimension( * )RHS, realRDSUM, realRDSCAL, integer, dimension( * )IPIV, integer,…
clatbs.f – SynopsisFunctions/Subroutinessubroutine clatbs (UPLO, TRANS, DIAG, NORMIN, N, KD, AB, LDAB, X, SCALE, CNORM, INFO) CLATBS solves a triangular banded system of equations. Function/Subroutine Documentationsubroutine clatbs (characterUPLO, characterTRANS, characterDIAG, characterNORMIN, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( * )X, realSCALE, real, dimension( * )CNORM, integerINFO)CLATBS solves a triangular banded system of…
clasyf.f – SynopsisFunctions/Subroutinessubroutine clasyf (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) CLASYF computes a partial factorization of a complex symmetric matrix using the Bunch-Kaufman diagonal pivoting method. Function/Subroutine Documentationsubroutine clasyf (characterUPLO, integerN, integerNB, integerKB, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( ldw, * )W, integerLDW, integerINFO)CLASYF computes…
claswp.f – SynopsisFunctions/Subroutinessubroutine claswp (N, A, LDA, K1, K2, IPIV, INCX) CLASWP performs a series of row interchanges on a general rectangular matrix. Function/Subroutine Documentationsubroutine claswp (integerN, complex, dimension( lda, * )A, integerLDA, integerK1, integerK2, integer, dimension( * )IPIV, integerINCX)CLASWP performs a series of row interchanges on a general rectangular matrix. Purpose: CLASWP performs a…
classq.f – SynopsisFunctions/Subroutinessubroutine classq (N, X, INCX, SCALE, SUMSQ) CLASSQ updates a sum of squares represented in scaled form. Function/Subroutine Documentationsubroutine classq (integerN, complex, dimension( * )X, integerINCX, realSCALE, realSUMSQ)CLASSQ updates a sum of squares represented in scaled form. Purpose: CLASSQ returns the values scl and ssq such that ( scl**2 )*ssq = x( 1…
clasr.f – SynopsisFunctions/Subroutinessubroutine clasr (SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA) CLASR applies a sequence of plane rotations to a general rectangular matrix. Function/Subroutine Documentationsubroutine clasr (characterSIDE, characterPIVOT, characterDIRECT, integerM, integerN, real, dimension( * )C, real, dimension( * )S, complex, dimension( lda, * )A, integerLDA)CLASR applies a sequence of plane rotations to a…
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…