Section 3: library functions
zlangt.f – Synopsis Functions/Subroutines DOUBLE PRECISION function zlangt (NORM, N, DL, D, DU) ZLANGT 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 DOUBLE PRECISION function zlangt (characterNORM, integerN, complex*16, dimension( * )DL, complex*16, dimension( * )D, complex*16, dimension( *…
zlange.f – Synopsis Functions/Subroutines DOUBLE PRECISION function zlange (NORM, M, N, A, LDA, WORK) ZLANGE 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 DOUBLE PRECISION function zlange (characterNORM, integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, double precision, dimension(…
zlange.f – Synopsis Functions/Subroutines DOUBLE PRECISION function zlange (NORM, M, N, A, LDA, WORK) ZLANGE 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 DOUBLE PRECISION function zlange (characterNORM, integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, double precision, dimension(…
zlangb.f – Synopsis Functions/Subroutines DOUBLE PRECISION function zlangb (NORM, N, KL, KU, AB, LDAB, WORK) ZLANGB 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 DOUBLE PRECISION function zlangb (characterNORM, integerN, integerKL, integerKU, complex*16, dimension( ldab, * )AB, integerLDAB, double precision,…
zlangb.f – Synopsis Functions/Subroutines DOUBLE PRECISION function zlangb (NORM, N, KL, KU, AB, LDAB, WORK) ZLANGB 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 DOUBLE PRECISION function zlangb (characterNORM, integerN, integerKL, integerKU, complex*16, dimension( ldab, * )AB, integerLDAB, double precision,…
zlalsd.f – Synopsis Functions/Subroutines subroutine zlalsd (UPLO, SMLSIZ, N, NRHS, D, E, B, LDB, RCOND, RANK, WORK, RWORK, IWORK, INFO) ZLALSD uses the singular value decomposition of A to solve the least squares problem. Function/Subroutine Documentation subroutine zlalsd (characterUPLO, integerSMLSIZ, integerN, integerNRHS, double precision, dimension( * )D, double precision, dimension( * )E, complex*16, dimension( ldb,…
zlalsd.f – Synopsis Functions/Subroutines subroutine zlalsd (UPLO, SMLSIZ, N, NRHS, D, E, B, LDB, RCOND, RANK, WORK, RWORK, IWORK, INFO) ZLALSD uses the singular value decomposition of A to solve the least squares problem. Function/Subroutine Documentation subroutine zlalsd (characterUPLO, integerSMLSIZ, integerN, integerNRHS, double precision, dimension( * )D, double precision, dimension( * )E, complex*16, dimension( ldb,…
zlalsa.f – Synopsis Functions/Subroutines subroutine zlalsa (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) ZLALSA computes the SVD of the coefficient matrix in compact form. Used by sgelsd. Function/Subroutine Documentation subroutine zlalsa (integerICOMPQ, integerSMLSIZ, integerN, integerNRHS, complex*16,…
zlalsa.f – Synopsis Functions/Subroutines subroutine zlalsa (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) ZLALSA computes the SVD of the coefficient matrix in compact form. Used by sgelsd. Function/Subroutine Documentation subroutine zlalsa (integerICOMPQ, integerSMLSIZ, integerN, integerNRHS, complex*16,…
zlals0.f – Synopsis Functions/Subroutines subroutine zlals0 (ICOMPQ, NL, NR, SQRE, NRHS, B, LDB, BX, LDBX, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, POLES, DIFL, DIFR, Z, K, C, S, RWORK, INFO) ZLALS0 applies back multiplying factors in solving the least squares problem using divide and conquer SVD approach. Used by sgelsd. Function/Subroutine Documentation subroutine zlals0 (integerICOMPQ,…
zlals0.f – Synopsis Functions/Subroutines subroutine zlals0 (ICOMPQ, NL, NR, SQRE, NRHS, B, LDB, BX, LDBX, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, POLES, DIFL, DIFR, Z, K, C, S, RWORK, INFO) ZLALS0 applies back multiplying factors in solving the least squares problem using divide and conquer SVD approach. Used by sgelsd. Function/Subroutine Documentation subroutine zlals0 (integerICOMPQ,…
zlaic1.f – Synopsis Functions/Subroutines subroutine zlaic1 (JOB, J, X, SEST, W, GAMMA, SESTPR, S, C) ZLAIC1 applies one step of incremental condition estimation. Function/Subroutine Documentation subroutine zlaic1 (integerJOB, integerJ, complex*16, dimension( j )X, double precisionSEST, complex*16, dimension( j )W, complex*16GAMMA, double precisionSESTPR, complex*16S, complex*16C) ZLAIC1 applies one step of incremental condition estimation. Purpose: ZLAIC1 applies…
zlaic1.f – Synopsis Functions/Subroutines subroutine zlaic1 (JOB, J, X, SEST, W, GAMMA, SESTPR, S, C) ZLAIC1 applies one step of incremental condition estimation. Function/Subroutine Documentation subroutine zlaic1 (integerJOB, integerJ, complex*16, dimension( j )X, double precisionSEST, complex*16, dimension( j )W, complex*16GAMMA, double precisionSESTPR, complex*16S, complex*16C) ZLAIC1 applies one step of incremental condition estimation. Purpose: ZLAIC1 applies…
zlahrd.f – Synopsis Functions/Subroutines subroutine zlahrd (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) ZLAHRD 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…
zlahrd.f – Synopsis Functions/Subroutines subroutine zlahrd (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) ZLAHRD 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…
zlahr2.f – Synopsis Functions/Subroutines subroutine zlahr2 (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) ZLAHR2 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…
zlahr2.f – Synopsis Functions/Subroutines subroutine zlahr2 (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) ZLAHR2 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…
zlahqr.f – Synopsis Functions/Subroutines subroutine zlahqr (WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, INFO) ZLAHQR computes the eigenvalues and Schur factorization of an upper Hessenberg matrix, using the double-shift/single-shift QR algorithm. Function/Subroutine Documentation subroutine zlahqr (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, complex*16, dimension( ldh, * )H, integerLDH, complex*16, dimension( * )W,…
zlahqr.f – Synopsis Functions/Subroutines subroutine zlahqr (WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, INFO) ZLAHQR computes the eigenvalues and Schur factorization of an upper Hessenberg matrix, using the double-shift/single-shift QR algorithm. Function/Subroutine Documentation subroutine zlahqr (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, complex*16, dimension( ldh, * )H, integerLDH, complex*16, dimension( * )W,…
zlahef_rook.f – Synopsis Functions/Subroutines subroutine zlahef_rook (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) Function/Subroutine Documentation subroutine zlahef_rook (characterUPLO, integerN, integerNB, integerKB, complex*16, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex*16, dimension( ldw, * )W, integerLDW, integerINFO) Purpose: ZLAHEF_ROOK computes a partial factorization of a complex Hermitian matrix A using the…