Section 3: library functions
NAME clantp.f – SYNOPSIS Functions/Subroutines REAL function clantp (NORM, UPLO, DIAG, N, AP, WORK) CLANTP 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 clantp (characterNORM, characterUPLO, characterDIAG, integerN, complex, dimension(…
NAME clantb.f – SYNOPSIS Functions/Subroutines REAL function clantb (NORM, UPLO, DIAG, N, K, AB, LDAB, WORK) CLANTB 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 clantb (characterNORM, characterUPLO, characterDIAG, integerN, integerK, complex, dimension(…
NAME clansy.f – SYNOPSIS Functions/Subroutines REAL function clansy (NORM, UPLO, N, A, LDA, WORK) CLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix. Function/Subroutine Documentation REAL function clansy (characterNORM, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA,…
NAME clansp.f – SYNOPSIS Functions/Subroutines REAL function clansp (NORM, UPLO, N, AP, WORK) CLANSP 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 clansp (characterNORM, characterUPLO, integerN, complex, dimension( * )AP,…
NAME clansb.f – SYNOPSIS Functions/Subroutines REAL function clansb (NORM, UPLO, N, K, AB, LDAB, WORK) CLANSB 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 band matrix. Function/Subroutine Documentation REAL function clansb (characterNORM, characterUPLO, integerN, integerK, complex, dimension( ldab, *…
NAME clanht.f – SYNOPSIS Functions/Subroutines REAL function clanht (NORM, N, D, E) CLANHT returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian tridiagonal matrix. Function/Subroutine Documentation REAL function clanht (characterNORM, integerN, real, dimension( * )D, complex, dimension( * )E)…
NAME clanhs.f – SYNOPSIS Functions/Subroutines REAL function clanhs (NORM, N, A, LDA, WORK) CLANHS returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of an upper Hessenberg matrix. Function/Subroutine Documentation REAL function clanhs (characterNORM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )WORK) CLANHS returns…
NAME clanhp.f – SYNOPSIS Functions/Subroutines REAL function clanhp (NORM, UPLO, N, AP, WORK) CLANHP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix supplied in packed form. Function/Subroutine Documentation REAL function clanhp (characterNORM, characterUPLO, integerN, complex, dimension( *…
NAME clanhf.f – SYNOPSIS Functions/Subroutines REAL function clanhf (NORM, TRANSR, UPLO, N, A, WORK) CLANHF returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a Hermitian matrix in RFP format. Function/Subroutine Documentation REAL function clanhf (characterNORM, characterTRANSR, characterUPLO, integerN, complex, dimension( 0:…
NAME clanhe.f – SYNOPSIS Functions/Subroutines REAL function clanhe (NORM, UPLO, N, A, LDA, WORK) CLANHE returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix. Function/Subroutine Documentation REAL function clanhe (characterNORM, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA,…
NAME clanhb.f – SYNOPSIS Functions/Subroutines REAL function clanhb (NORM, UPLO, N, K, AB, LDAB, WORK) CLANHB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a Hermitian band matrix. Function/Subroutine Documentation REAL function clanhb (characterNORM, characterUPLO, integerN, integerK, complex, dimension( ldab, *…
NAME clangt.f – SYNOPSIS Functions/Subroutines REAL function clangt (NORM, N, DL, D, DU) CLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix. Function/Subroutine Documentation REAL function clangt (characterNORM, integerN, complex, dimension( * )DL, complex, dimension( * )D, complex, dimension( * )DU)…
NAME clange.f – SYNOPSIS Functions/Subroutines REAL function clange (NORM, M, N, A, LDA, WORK) CLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix. Function/Subroutine Documentation REAL function clange (characterNORM, integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )WORK)…
NAME clangb.f – SYNOPSIS Functions/Subroutines REAL function clangb (NORM, N, KL, KU, AB, LDAB, WORK) CLANGB returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of general band matrix. Function/Subroutine Documentation REAL function clangb (characterNORM, integerN, integerKL, integerKU, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( *…
NAME clalsd.f – SYNOPSIS Functions/Subroutines subroutine clalsd (UPLO, SMLSIZ, N, NRHS, D, E, B, LDB, RCOND, RANK, WORK, RWORK, IWORK, INFO) CLALSD uses the singular value decomposition of A to solve the least squares problem. Function/Subroutine Documentation subroutine clalsd (characterUPLO, integerSMLSIZ, integerN, integerNRHS, real, dimension( * )D, real, dimension( * )E, complex, dimension( ldb, *…
NAME clalsa.f – SYNOPSIS Functions/Subroutines subroutine clalsa (ICOMPQ, SMLSIZ, N, NRHS, B, LDB, BX, LDBX, U, LDU, VT, K, DIFL, DIFR, Z, POLES, GIVPTR, GIVCOL, LDGCOL, PERM, GIVNUM, C, S, RWORK, IWORK, INFO) CLALSA computes the SVD of the coefficient matrix in compact form. Used by sgelsd. Function/Subroutine Documentation subroutine clalsa (integerICOMPQ, integerSMLSIZ, integerN, integerNRHS,…
NAME clals0.f – SYNOPSIS Functions/Subroutines subroutine clals0 (ICOMPQ, NL, NR, SQRE, NRHS, B, LDB, BX, LDBX, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, POLES, DIFL, DIFR, Z, K, C, S, RWORK, INFO) CLALS0 applies back multiplying factors in solving the least squares problem using divide and conquer SVD approach. Used by sgelsd. Function/Subroutine Documentation subroutine clals0…
NAME claic1.f – SYNOPSIS Functions/Subroutines subroutine claic1 (JOB, J, X, SEST, W, GAMMA, SESTPR, S, C) CLAIC1 applies one step of incremental condition estimation. Function/Subroutine Documentation subroutine claic1 (integerJOB, integerJ, complex, dimension( j )X, realSEST, complex, dimension( j )W, complexGAMMA, realSESTPR, complexS, complexC) CLAIC1 applies one step of incremental condition estimation. Purpose: CLAIC1 applies one…
NAME clahrd.f – SYNOPSIS Functions/Subroutines subroutine clahrd (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) CLAHRD reduces the first nb columns of a general rectangular matrix A so that elements below the k-th subdiagonal are zero, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part of A….
NAME clahr2.f – SYNOPSIS Functions/Subroutines subroutine clahr2 (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) CLAHR2 reduces the specified number of first columns of a general rectangular matrix A so that elements below the specified subdiagonal are zero, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part…