claed7.f – Synopsis Functions/Subroutines subroutine claed7 (N, CUTPNT, QSIZ, TLVLS, CURLVL, CURPBM, D, Q, LDQ, RHO, INDXQ, QSTORE, QPTR, PRMPTR, PERM, GIVPTR, GIVCOL, GIVNUM, WORK, RWORK, IWORK, INFO) CLAED7 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…
claed0.f – Synopsis Functions/Subroutines subroutine claed0 (QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS, RWORK, IWORK, INFO) CLAED0 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 claed0 (integerQSIZ, integerN, real, dimension( * )D, real, dimension( * )E, complex, dimension(…
cladiv.f – Synopsis Functions/Subroutines COMPLEX function cladiv (X, Y) CLADIV performs complex division in real arithmetic, avoiding unnecessary overflow. Function/Subroutine Documentation COMPLEX function cladiv (complexX, complexY) CLADIV performs complex division in real arithmetic, avoiding unnecessary overflow. Purpose: CLADIV := X / Y, where X and Y are complex. The computation of X / Y will…
clacrt.f – Synopsis Functions/Subroutines subroutine clacrt (N, CX, INCX, CY, INCY, C, S) CLACRT performs a linear transformation of a pair of complex vectors. Function/Subroutine Documentation subroutine clacrt (integerN, complex, dimension( * )CX, integerINCX, complex, dimension( * )CY, integerINCY, complexC, complexS) CLACRT performs a linear transformation of a pair of complex vectors. Purpose: CLACRT performs…
clacrm.f – Synopsis Functions/Subroutines subroutine clacrm (M, N, A, LDA, B, LDB, C, LDC, RWORK) CLACRM multiplies a complex matrix by a square real matrix. Function/Subroutine Documentation subroutine clacrm (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, complex, dimension( ldc, * )C, integerLDC, real, dimension( * )RWORK) CLACRM multiplies…
clacpy.f – Synopsis Functions/Subroutines subroutine clacpy (UPLO, M, N, A, LDA, B, LDB) CLACPY copies all or part of one two-dimensional array to another. Function/Subroutine Documentation subroutine clacpy (characterUPLO, integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB) CLACPY copies all or part of one two-dimensional array to another. Purpose:…
clacp2.f – Synopsis Functions/Subroutines subroutine clacp2 (UPLO, M, N, A, LDA, B, LDB) CLACP2 copies all or part of a real two-dimensional array to a complex array. Function/Subroutine Documentation subroutine clacp2 (characterUPLO, integerM, integerN, real, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB) CLACP2 copies all or part of a real two-dimensional…
clacon.f – Synopsis Functions/Subroutines subroutine clacon (N, V, X, EST, KASE) CLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. Function/Subroutine Documentation subroutine clacon (integerN, complex, dimension( n )V, complex, dimension( n )X, realEST, integerKASE) CLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector…
clacn2.f – Synopsis Functions/Subroutines subroutine clacn2 (N, V, X, EST, KASE, ISAVE) CLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. Function/Subroutine Documentation subroutine clacn2 (integerN, complex, dimension( * )V, complex, dimension( * )X, realEST, integerKASE, integer, dimension( 3 )ISAVE) CLACN2 estimates the 1-norm of a square matrix, using…
clacgv.f – Synopsis Functions/Subroutines subroutine clacgv (N, X, INCX) CLACGV conjugates a complex vector. Function/Subroutine Documentation subroutine clacgv (integerN, complex, dimension( * )X, integerINCX) CLACGV conjugates a complex vector. Purpose: CLACGV conjugates a complex vector of length N. Parameters: N N is INTEGER The length of the vector X. N >= 0. X X…
clabrd.f – Synopsis Functions/Subroutines subroutine clabrd (M, N, NB, A, LDA, D, E, TAUQ, TAUP, X, LDX, Y, LDY) CLABRD reduces the first nb rows and columns of a general matrix to a bidiagonal form. Function/Subroutine Documentation subroutine clabrd (integerM, integerN, integerNB, complex, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( *…
cla_wwaddw.f – Synopsis Functions/Subroutines subroutine cla_wwaddw (N, X, Y, W) CLA_WWADDW adds a vector into a doubled-single vector. Function/Subroutine Documentation subroutine cla_wwaddw (integerN, complex, dimension( * )X, complex, dimension( * )Y, complex, dimension( * )W) CLA_WWADDW adds a vector into a doubled-single vector. Purpose: CLA_WWADDW adds a vector W into a doubled-single vector (X, Y)….
cla_syrpvgrw.f – Synopsis Functions/Subroutines REAL function cla_syrpvgrw (UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK) CLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. Function/Subroutine Documentation REAL function cla_syrpvgrw (character*1UPLO, integerN, integerINFO, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, real, dimension(…
cla_syrfsx_extended.f – Synopsis Functions/Subroutines subroutine cla_syrfsx_extended (PREC_TYPE, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, COLEQU, C, B, LDB, Y, LDY, BERR_OUT, N_NORMS, ERR_BNDS_NORM, ERR_BNDS_COMP, RES, AYB, DY, Y_TAIL, RCOND, ITHRESH, RTHRESH, DZ_UB, IGNORE_CWISE, INFO) CLA_SYRFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric indefinite matrices by performing extra-precise iterative refinement…
cla_syrcond_x.f – Synopsis Functions/Subroutines REAL function cla_syrcond_x (UPLO, N, A, LDA, AF, LDAF, IPIV, X, INFO, WORK, RWORK) CLA_SYRCOND_X computes the infinity norm condition number of op(A)*diag(x) for symmetric indefinite matrices. Function/Subroutine Documentation REAL function cla_syrcond_x (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, complex,…
cla_syrcond_c.f – Synopsis Functions/Subroutines REAL function cla_syrcond_c (UPLO, N, A, LDA, AF, LDAF, IPIV, C, CAPPLY, INFO, WORK, RWORK) CLA_SYRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for symmetric indefinite matrices. Function/Subroutine Documentation REAL function cla_syrcond_c (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV,…
cla_syamv.f – Synopsis Functions/Subroutines subroutine cla_syamv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CLA_SYAMV computes a matrix-vector product using a symmetric indefinite matrix to calculate error bounds. Function/Subroutine Documentation subroutine cla_syamv (integerUPLO, integerN, realALPHA, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )X, integerINCX, realBETA, real, dimension( * )Y, integerINCY) CLA_SYAMV…
cla_porpvgrw.f – Synopsis Functions/Subroutines REAL function cla_porpvgrw (UPLO, NCOLS, A, LDA, AF, LDAF, WORK) CLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix. Function/Subroutine Documentation REAL function cla_porpvgrw (character*1UPLO, integerNCOLS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, real, dimension( * )WORK) CLA_PORPVGRW computes the…
cla_porfsx_extended.f – Synopsis Functions/Subroutines subroutine cla_porfsx_extended (PREC_TYPE, UPLO, N, NRHS, A, LDA, AF, LDAF, COLEQU, C, B, LDB, Y, LDY, BERR_OUT, N_NORMS, ERR_BNDS_NORM, ERR_BNDS_COMP, RES, AYB, DY, Y_TAIL, RCOND, ITHRESH, RTHRESH, DZ_UB, IGNORE_CWISE, INFO) CLA_PORFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric or Hermitian positive-definite matrices by performing extra-precise iterative…
cla_porcond_x.f – Synopsis Functions/Subroutines REAL function cla_porcond_x (UPLO, N, A, LDA, AF, LDAF, X, INFO, WORK, RWORK) CLA_PORCOND_X computes the infinity norm condition number of op(A)*diag(x) for Hermitian positive-definite matrices. Function/Subroutine Documentation REAL function cla_porcond_x (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, complex, dimension( * )X, integerINFO, complex,…