Section 3: library functions
zlahef.f – Synopsis Functions/Subroutines subroutine zlahef (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) ZLAHEF 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 Documentation subroutine zlahef (characterUPLO, integerN, integerNB, integerKB, complex*16, dimension( lda, * )A, integerLDA, integer, dimension(…
zlahef.f – Synopsis Functions/Subroutines subroutine zlahef (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) ZLAHEF computes a partial factorization of a complex Hermitian indefinite matrix, using the diagonal pivoting method. Function/Subroutine Documentation subroutine zlahef (characterUPLO, integerN, integerNB, integerKB, complex*16, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex*16, dimension( ldw, * )W,…
zlagtm.f – Synopsis Functions/Subroutines subroutine zlagtm (TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB) ZLAGTM 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…
zlagtm.f – Synopsis Functions/Subroutines subroutine zlagtm (TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB) ZLAGTM 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…
zlags2.f – Synopsis Functions/Subroutines subroutine zlags2 (UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ) ZLAGS2 Function/Subroutine Documentation subroutine zlags2 (logicalUPPER, double precisionA1, complex*16A2, double precisionA3, double precisionB1, complex*16B2, double precisionB3, double precisionCSU, complex*16SNU, double precisionCSV, complex*16SNV, double precisionCSQ, complex*16SNQ) ZLAGS2 Purpose: ZLAGS2 computes 2-by-2 unitary matrices U, V and Q,…
zlags2.f – Synopsis Functions/Subroutines subroutine zlags2 (UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ) ZLAGS2 Function/Subroutine Documentation subroutine zlags2 (logicalUPPER, double precisionA1, complex*16A2, double precisionA3, double precisionB1, complex*16B2, double precisionB3, double precisionCSU, complex*16SNU, double precisionCSV, complex*16SNV, double precisionCSQ, complex*16SNQ) ZLAGS2 Purpose: ZLAGS2 computes 2-by-2 unitary matrices U, V and Q,…
zlag2c.f – Synopsis Functions/Subroutines subroutine zlag2c (M, N, A, LDA, SA, LDSA, INFO) ZLAG2C converts a complex double precision matrix to a complex single precision matrix. Function/Subroutine Documentation subroutine zlag2c (integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, complex, dimension( ldsa, * )SA, integerLDSA, integerINFO) ZLAG2C converts a complex double precision matrix to a complex…
zlag2c.f – Synopsis Functions/Subroutines subroutine zlag2c (M, N, A, LDA, SA, LDSA, INFO) ZLAG2C converts a complex double precision matrix to a complex single precision matrix. Function/Subroutine Documentation subroutine zlag2c (integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, complex, dimension( ldsa, * )SA, integerLDSA, integerINFO) ZLAG2C converts a complex double precision matrix to a complex…
zlaev2.f – Synopsis Functions/Subroutines subroutine zlaev2 (A, B, C, RT1, RT2, CS1, SN1) ZLAEV2 computes the eigenvalues and eigenvectors of a 2-by-2 symmetric/Hermitian matrix. Function/Subroutine Documentation subroutine zlaev2 (complex*16A, complex*16B, complex*16C, double precisionRT1, double precisionRT2, double precisionCS1, complex*16SN1) ZLAEV2 computes the eigenvalues and eigenvectors of a 2-by-2 symmetric/Hermitian matrix. Purpose: ZLAEV2 computes the eigendecomposition of…
zlaev2.f – Synopsis Functions/Subroutines subroutine zlaev2 (A, B, C, RT1, RT2, CS1, SN1) ZLAEV2 computes the eigenvalues and eigenvectors of a 2-by-2 symmetric/Hermitian matrix. Function/Subroutine Documentation subroutine zlaev2 (complex*16A, complex*16B, complex*16C, double precisionRT1, double precisionRT2, double precisionCS1, complex*16SN1) ZLAEV2 computes the eigenvalues and eigenvectors of a 2-by-2 symmetric/Hermitian matrix. Purpose: ZLAEV2 computes the eigendecomposition of…
zlaesy.f – Synopsis Functions/Subroutines subroutine zlaesy (A, B, C, RT1, RT2, EVSCAL, CS1, SN1) ZLAESY computes the eigenvalues and eigenvectors of a 2-by-2 complex symmetric matrix. Function/Subroutine Documentation subroutine zlaesy (complex*16A, complex*16B, complex*16C, complex*16RT1, complex*16RT2, complex*16EVSCAL, complex*16CS1, complex*16SN1) ZLAESY computes the eigenvalues and eigenvectors of a 2-by-2 complex symmetric matrix. Purpose: ZLAESY computes the eigendecomposition…
zlaesy.f – Synopsis Functions/Subroutines subroutine zlaesy (A, B, C, RT1, RT2, EVSCAL, CS1, SN1) ZLAESY computes the eigenvalues and eigenvectors of a 2-by-2 complex symmetric matrix. Function/Subroutine Documentation subroutine zlaesy (complex*16A, complex*16B, complex*16C, complex*16RT1, complex*16RT2, complex*16EVSCAL, complex*16CS1, complex*16SN1) ZLAESY computes the eigenvalues and eigenvectors of a 2-by-2 complex symmetric matrix. Purpose: ZLAESY computes the eigendecomposition…
zlaein.f – Synopsis Functions/Subroutines subroutine zlaein (RIGHTV, NOINIT, N, H, LDH, W, V, B, LDB, RWORK, EPS3, SMLNUM, INFO) ZLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by inverse iteration. Function/Subroutine Documentation subroutine zlaein (logicalRIGHTV, logicalNOINIT, integerN, complex*16, dimension( ldh, * )H, integerLDH, complex*16W, complex*16, dimension( * )V, complex*16, dimension(…
zlaein.f – Synopsis Functions/Subroutines subroutine zlaein (RIGHTV, NOINIT, N, H, LDH, W, V, B, LDB, RWORK, EPS3, SMLNUM, INFO) ZLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by inverse iteration. Function/Subroutine Documentation subroutine zlaein (logicalRIGHTV, logicalNOINIT, integerN, complex*16, dimension( ldh, * )H, integerLDH, complex*16W, complex*16, dimension( * )V, complex*16, dimension(…
zlaed8.f – Synopsis Functions/Subroutines subroutine zlaed8 (K, N, QSIZ, Q, LDQ, D, RHO, CUTPNT, Z, DLAMDA, Q2, LDQ2, W, INDXP, INDX, INDXQ, PERM, GIVPTR, GIVCOL, GIVNUM, INFO) ZLAED8 used by sstedc. Merges eigenvalues and deflates secular equation. Used when the original matrix is dense. Function/Subroutine Documentation subroutine zlaed8 (integerK, integerN, integerQSIZ, complex*16, dimension( ldq, *…
zlaed8.f – Synopsis Functions/Subroutines subroutine zlaed8 (K, N, QSIZ, Q, LDQ, D, RHO, CUTPNT, Z, DLAMDA, Q2, LDQ2, W, INDXP, INDX, INDXQ, PERM, GIVPTR, GIVCOL, GIVNUM, INFO) ZLAED8 used by sstedc. Merges eigenvalues and deflates secular equation. Used when the original matrix is dense. Function/Subroutine Documentation subroutine zlaed8 (integerK, integerN, integerQSIZ, complex*16, dimension( ldq, *…
zlaed7.f – Synopsis Functions/Subroutines subroutine zlaed7 (N, CUTPNT, QSIZ, TLVLS, CURLVL, CURPBM, D, Q, LDQ, RHO, INDXQ, QSTORE, QPTR, PRMPTR, PERM, GIVPTR, GIVCOL, GIVNUM, WORK, RWORK, IWORK, INFO) ZLAED7 used by sstedc. Computes the updated eigensystem of a diagonal matrix after modification by a rank-one symmetric matrix. Used when the original matrix is dense. Function/Subroutine…
zlaed7.f – Synopsis Functions/Subroutines subroutine zlaed7 (N, CUTPNT, QSIZ, TLVLS, CURLVL, CURPBM, D, Q, LDQ, RHO, INDXQ, QSTORE, QPTR, PRMPTR, PERM, GIVPTR, GIVCOL, GIVNUM, WORK, RWORK, IWORK, INFO) ZLAED7 used by sstedc. Computes the updated eigensystem of a diagonal matrix after modification by a rank-one symmetric matrix. Used when the original matrix is dense. Function/Subroutine…
zlaed0.f – Synopsis Functions/Subroutines subroutine zlaed0 (QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS, RWORK, IWORK, INFO) ZLAED0 used by sstedc. Computes all eigenvalues and corresponding eigenvectors of an unreduced symmetric tridiagonal matrix using the divide and conquer method. Function/Subroutine Documentation subroutine zlaed0 (integerQSIZ, integerN, double precision, dimension( * )D, double precision, dimension( * )E,…
zlaed0.f – Synopsis Functions/Subroutines subroutine zlaed0 (QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS, RWORK, IWORK, INFO) ZLAED0 used by sstedc. Computes all eigenvalues and corresponding eigenvectors of an unreduced symmetric tridiagonal matrix using the divide and conquer method. Function/Subroutine Documentation subroutine zlaed0 (integerQSIZ, integerN, double precision, dimension( * )D, double precision, dimension( * )E,…