Section 3: library functions
clanhp.f – SynopsisFunctions/SubroutinesREAL 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 DocumentationREAL function clanhp (characterNORM, characterUPLO, integerN, complex, dimension( * )AP, real, dimension( *…
clanhf.f – SynopsisFunctions/SubroutinesREAL 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 DocumentationREAL function clanhf (characterNORM, characterTRANSR, characterUPLO, integerN, complex, dimension( 0: * )A, real, dimension(…
clanhe.f – SynopsisFunctions/SubroutinesREAL 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 DocumentationREAL function clanhe (characterNORM, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )WORK)CLANHE…
clanhb.f – SynopsisFunctions/SubroutinesREAL 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 DocumentationREAL function clanhb (characterNORM, characterUPLO, integerN, integerK, complex, dimension( ldab, * )AB, integerLDAB, real, dimension(…
clangt.f – SynopsisFunctions/SubroutinesREAL 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 DocumentationREAL function clangt (characterNORM, integerN, complex, dimension( * )DL, complex, dimension( * )D, complex, dimension( * )DU)CLANGT returns the value of…
clange.f – SynopsisFunctions/SubroutinesREAL 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 DocumentationREAL function clange (characterNORM, integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )WORK)CLANGE returns the value of…
clangb.f – SynopsisFunctions/SubroutinesREAL 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 DocumentationREAL function clangb (characterNORM, integerN, integerKL, integerKU, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )WORK)CLANGB returns the value…
clalsd.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clalsd (characterUPLO, integerSMLSIZ, integerN, integerNRHS, real, dimension( * )D, real, dimension( * )E, complex, dimension( ldb, * )B, integerLDB, realRCOND, integerRANK,…
clalsa.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clalsa (integerICOMPQ, integerSMLSIZ, integerN, integerNRHS, complex, dimension( ldb, *…
clals0.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clals0 (integerICOMPQ, integerNL, integerNR, integerSQRE,…
claic1.f – SynopsisFunctions/Subroutinessubroutine claic1 (JOB, J, X, SEST, W, GAMMA, SESTPR, S, C) CLAIC1 applies one step of incremental condition estimation. Function/Subroutine Documentationsubroutine 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 step of incremental condition estimation…
clahrd.f – SynopsisFunctions/Subroutinessubroutine 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. Function/Subroutine Documentationsubroutine clahrd…
clahr2.f – SynopsisFunctions/Subroutinessubroutine 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 of A. Function/Subroutine…
clahqr.f – SynopsisFunctions/Subroutinessubroutine clahqr (WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, INFO) CLAHQR computes the eigenvalues and Schur factorization of an upper Hessenberg matrix, using the double-shift/single-shift QR algorithm. Function/Subroutine Documentationsubroutine clahqr (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, complex, dimension( ldh, * )H, integerLDH, complex, dimension( * )W, integerILOZ, integerIHIZ, complex,…
clahef.f – SynopsisFunctions/Subroutinessubroutine clahef (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) CLAHEF computes a partial factorization of a complex Hermitian indefinite matrix using the Bunch-Kaufman diagonal pivoting method (blocked algorithm, calling Level 3 BLAS). Function/Subroutine Documentationsubroutine clahef (characterUPLO, integerN, integerNB, integerKB, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex,…
clagtm.f – SynopsisFunctions/Subroutinessubroutine clagtm (TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB) CLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1. Function/Subroutine Documentationsubroutine clagtm…
clags2.f – SynopsisFunctions/Subroutinessubroutine clags2 (UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ) CLAGS2 Function/Subroutine Documentationsubroutine clags2 (logicalUPPER, realA1, complexA2, realA3, realB1, complexB2, realB3, realCSU, complexSNU, realCSV, complexSNV, realCSQ, complexSNQ)CLAGS2 Purpose: CLAGS2 computes 2-by-2 unitary matrices U, V and Q, such that if ( UPPER ) then U**H *A*Q = U**H…
clag2z.f – SynopsisFunctions/Subroutinessubroutine clag2z (M, N, SA, LDSA, A, LDA, INFO) CLAG2Z converts a complex single precision matrix to a complex double precision matrix. Function/Subroutine Documentationsubroutine clag2z (integerM, integerN, complex, dimension( ldsa, * )SA, integerLDSA, complex*16, dimension( lda, * )A, integerLDA, integerINFO)CLAG2Z converts a complex single precision matrix to a complex double precision matrix. Purpose:…
claev2.f – SynopsisFunctions/Subroutinessubroutine claev2 (A, B, C, RT1, RT2, CS1, SN1) CLAEV2 computes the eigenvalues and eigenvectors of a 2-by-2 symmetric/Hermitian matrix. Function/Subroutine Documentationsubroutine claev2 (complexA, complexB, complexC, realRT1, realRT2, realCS1, complexSN1)CLAEV2 computes the eigenvalues and eigenvectors of a 2-by-2 symmetric/Hermitian matrix. Purpose: CLAEV2 computes the eigendecomposition of a 2-by-2 Hermitian matrix [ A B…
claesy.f – SynopsisFunctions/Subroutinessubroutine claesy (A, B, C, RT1, RT2, EVSCAL, CS1, SN1) CLAESY computes the eigenvalues and eigenvectors of a 2-by-2 complex symmetric matrix. Function/Subroutine Documentationsubroutine claesy (complexA, complexB, complexC, complexRT1, complexRT2, complexEVSCAL, complexCS1, complexSN1)CLAESY computes the eigenvalues and eigenvectors of a 2-by-2 complex symmetric matrix. Purpose: CLAESY computes the eigendecomposition of a 2-by-2 symmetric…