Linux Manuals

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…

claein.f – SynopsisFunctions/Subroutinessubroutine claein (RIGHTV, NOINIT, N, H, LDH, W, V, B, LDB, RWORK, EPS3, SMLNUM, INFO) CLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by inverse iteration. Function/Subroutine Documentationsubroutine claein (logicalRIGHTV, logicalNOINIT, integerN, complex, dimension( ldh, * )H, integerLDH, complexW, complex, dimension( * )V, complex, dimension( ldb, * )B,…

claed8.f – SynopsisFunctions/Subroutinessubroutine claed8 (K, N, QSIZ, Q, LDQ, D, RHO, CUTPNT, Z, DLAMDA, Q2, LDQ2, W, INDXP, INDX, INDXQ, PERM, GIVPTR, GIVCOL, GIVNUM, INFO) CLAED8 used by sstedc. Merges eigenvalues and deflates secular equation. Used when the original matrix is dense. Function/Subroutine Documentationsubroutine claed8 (integerK, integerN, integerQSIZ, complex, dimension( ldq, * )Q, integerLDQ, real,…

claed7.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine claed7…

claed0.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine claed0 (integerQSIZ, integerN, real, dimension( * )D, real, dimension( * )E, complex, dimension( ldq, * )Q,…

cladiv.f – SynopsisFunctions/SubroutinesCOMPLEX function cladiv (X, Y) CLADIV performs complex division in real arithmetic, avoiding unnecessary overflow. Function/Subroutine DocumentationCOMPLEX 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 not overflow on an…

clacrt.f – SynopsisFunctions/Subroutinessubroutine clacrt (N, CX, INCX, CY, INCY, C, S) CLACRT performs a linear transformation of a pair of complex vectors. Function/Subroutine Documentationsubroutine 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 the operation ( c…

clacrm.f – SynopsisFunctions/Subroutinessubroutine clacrm (M, N, A, LDA, B, LDB, C, LDC, RWORK) CLACRM multiplies a complex matrix by a square real matrix. Function/Subroutine Documentationsubroutine clacrm (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, complex, dimension( ldc, * )C, integerLDC, real, dimension( * )RWORK)CLACRM multiplies a complex matrix by…

clacpy.f – SynopsisFunctions/Subroutinessubroutine clacpy (UPLO, M, N, A, LDA, B, LDB) CLACPY copies all or part of one two-dimensional array to another. Function/Subroutine Documentationsubroutine 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: CLACPY copies all or…

clacp2.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clacp2 (characterUPLO, integerM, integerN, real, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB)CLACP2 copies all or part of a real two-dimensional array to a complex…

clacon.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine 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 products. Purpose: CLACON estimates…

clacn2.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clacn2 (integerN, complex, dimension( * )V, complex, dimension( * )X, realEST, integerKASE, integer, dimension( 3 )ISAVE)CLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating…

clacgv.f – SynopsisFunctions/Subroutinessubroutine clacgv (N, X, INCX) CLACGV conjugates a complex vector. Function/Subroutine Documentationsubroutine 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 is COMPLEX array, dimension (1+(N-1)*abs(INCX)) On…

clabrd.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine clabrd (integerM, integerN, integerNB, complex, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, complex, dimension(…

cla_wwaddw.f – SynopsisFunctions/Subroutinessubroutine cla_wwaddw (N, X, Y, W) CLA_WWADDW adds a vector into a doubled-single vector. Function/Subroutine Documentationsubroutine 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). This works for all…

cla_syrpvgrw.f – SynopsisFunctions/SubroutinesREAL 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 DocumentationREAL function cla_syrpvgrw (character*1UPLO, integerN, integerINFO, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, real, dimension( * )WORK)CLA_SYRPVGRW computes…

cla_syrfsx_extended.f – SynopsisFunctions/Subroutinessubroutine 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 and provides…

cla_syrcond_x.f – SynopsisFunctions/SubroutinesREAL 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 DocumentationREAL function cla_syrcond_x (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, complex, dimension( * )X,…

cla_syrcond_c.f – SynopsisFunctions/SubroutinesREAL 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 DocumentationREAL function cla_syrcond_c (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, real, dimension( *…