Section 3: library functions
ctrmv.f – SynopsisFunctions/Subroutinessubroutine ctrmv (UPLO, TRANS, DIAG, N, A, LDA, X, INCX) CTRMV Function/Subroutine Documentationsubroutine ctrmv (characterUPLO, characterTRANS, characterDIAG, integerN, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX)CTRMV Purpose: CTRMV performs one of the matrix-vector operations x := A*x, or x := A**T*x, or x := A**H*x, where x is an n element vector and A is…
ctrmm.f – SynopsisFunctions/Subroutinessubroutine ctrmm (SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB) CTRMM Function/Subroutine Documentationsubroutine ctrmm (characterSIDE, characterUPLO, characterTRANSA, characterDIAG, integerM, integerN, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB)CTRMM Purpose: CTRMM performs one of the matrix-matrix operations B := alpha*op( A )*B, or B := alpha*B*op( A ) where alpha is a…
ctrexc.f – SynopsisFunctions/Subroutinessubroutine ctrexc (COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, INFO) CTREXC Function/Subroutine Documentationsubroutine ctrexc (characterCOMPQ, integerN, complex, dimension( ldt, * )T, integerLDT, complex, dimension( ldq, * )Q, integerLDQ, integerIFST, integerILST, integerINFO)CTREXC Purpose: CTREXC reorders the Schur factorization of a complex matrix A = Q*T*Q**H, so that the diagonal element of T with…
ctrevc.f – SynopsisFunctions/Subroutinessubroutine ctrevc (SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO) CTREVC Function/Subroutine Documentationsubroutine ctrevc (characterSIDE, characterHOWMNY, logical, dimension( * )SELECT, integerN, complex, dimension( ldt, * )T, integerLDT, complex, dimension( ldvl, * )VL, integerLDVL, complex, dimension( ldvr, * )VR, integerLDVR, integerMM, integerM, complex, dimension( * )WORK, real,…
ctrcon.f – SynopsisFunctions/Subroutinessubroutine ctrcon (NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, RWORK, INFO) CTRCON Function/Subroutine Documentationsubroutine ctrcon (characterNORM, characterUPLO, characterDIAG, integerN, complex, dimension( lda, * )A, integerLDA, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)CTRCON Purpose: CTRCON estimates the reciprocal of the condition number of a triangular matrix A, in either the…
ctpttr.f – SynopsisFunctions/Subroutinessubroutine ctpttr (UPLO, N, AP, A, LDA, INFO) CTPTTR copies a triangular matrix from the standard packed format (TP) to the standard full format (TR). Function/Subroutine Documentationsubroutine ctpttr (characterUPLO, integerN, complex, dimension( * )AP, complex, dimension( lda, * )A, integerLDA, integerINFO)CTPTTR copies a triangular matrix from the standard packed format (TP) to the…
ctpttf.f – SynopsisFunctions/Subroutinessubroutine ctpttf (TRANSR, UPLO, N, AP, ARF, INFO) CTPTTF copies a triangular matrix from the standard packed format (TP) to the rectangular full packed format (TF). Function/Subroutine Documentationsubroutine ctpttf (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: * )AP, complex, dimension( 0: * )ARF, integerINFO)CTPTTF copies a triangular matrix from the standard packed format (TP)…
ctptrs.f – SynopsisFunctions/Subroutinessubroutine ctptrs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, INFO) CTPTRS Function/Subroutine Documentationsubroutine ctptrs (characterUPLO, characterTRANS, characterDIAG, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension( ldb, * )B, integerLDB, integerINFO)CTPTRS Purpose: CTPTRS solves a triangular system of the form A * X = B, A**T * X = B, or A**H *…
ctptri.f – SynopsisFunctions/Subroutinessubroutine ctptri (UPLO, DIAG, N, AP, INFO) CTPTRI Function/Subroutine Documentationsubroutine ctptri (characterUPLO, characterDIAG, integerN, complex, dimension( * )AP, integerINFO)CTPTRI Purpose: CTPTRI computes the inverse of a complex upper or lower triangular matrix A stored in packed format. Parameters: UPLO UPLO is CHARACTER*1 = ‘U’: A is upper triangular; = ‘L’: A is lower…
ctpsv.f – SynopsisFunctions/Subroutinessubroutine ctpsv (UPLO, TRANS, DIAG, N, AP, X, INCX) CTPSV Function/Subroutine Documentationsubroutine ctpsv (characterUPLO, characterTRANS, characterDIAG, integerN, complex, dimension(*)AP, complex, dimension(*)X, integerINCX)CTPSV Purpose: CTPSV solves one of the systems of equations A*x = b, or A**T*x = b, or A**H*x = b, where b and x are n element vectors and A is…
ctprfs.f – SynopsisFunctions/Subroutinessubroutine ctprfs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CTPRFS Function/Subroutine Documentationsubroutine ctprfs (characterUPLO, characterTRANS, characterDIAG, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx, * )X, integerLDX, real, dimension( * )FERR, real, dimension( * )BERR, complex, dimension( *…
ctprfb.f – SynopsisFunctions/Subroutinessubroutine ctprfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, A, LDA, B, LDB, WORK, LDWORK) CTPRFB applies a real or complex ‘triangular-pentagonal’ blocked reflector to a real or complex matrix, which is composed of two blocks. Function/Subroutine Documentationsubroutine ctprfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, integerL, complex,…
ctpqrt2.f – SynopsisFunctions/Subroutinessubroutine ctpqrt2 (M, N, L, A, LDA, B, LDB, T, LDT, INFO) CTPQRT2 computes a QR factorization of a real or complex ‘triangular-pentagonal’ matrix, which is composed of a triangular block and a pentagonal block, using the compact WY representation for Q. Function/Subroutine Documentationsubroutine ctpqrt2 (integerM, integerN, integerL, complex, dimension( lda, * )A,…
ctpqrt.f – SynopsisFunctions/Subroutinessubroutine ctpqrt (M, N, L, NB, A, LDA, B, LDB, T, LDT, WORK, INFO) CTPQRT Function/Subroutine Documentationsubroutine ctpqrt (integerM, integerN, integerL, integerNB, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldt, * )T, integerLDT, complex, dimension( * )WORK, integerINFO)CTPQRT Purpose: CTPQRT computes a blocked QR factorization of…
ctpmv.f – SynopsisFunctions/Subroutinessubroutine ctpmv (UPLO, TRANS, DIAG, N, AP, X, INCX) CTPMV Function/Subroutine Documentationsubroutine ctpmv (characterUPLO, characterTRANS, characterDIAG, integerN, complex, dimension(*)AP, complex, dimension(*)X, integerINCX)CTPMV Purpose: CTPMV performs one of the matrix-vector operations x := A*x, or x := A**T*x, or x := A**H*x, where x is an n element vector and A is an n…
ctpmqrt.f – SynopsisFunctions/Subroutinessubroutine ctpmqrt (SIDE, TRANS, M, N, K, L, NB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO) CTPMQRT Function/Subroutine Documentationsubroutine ctpmqrt (characterSIDE, characterTRANS, integerM, integerN, integerK, integerL, integerNB, complex, dimension( ldv, * )V, integerLDV, complex, dimension( ldt, * )T, integerLDT, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B,…
ctpcon.f – SynopsisFunctions/Subroutinessubroutine ctpcon (NORM, UPLO, DIAG, N, AP, RCOND, WORK, RWORK, INFO) CTPCON Function/Subroutine Documentationsubroutine ctpcon (characterNORM, characterUPLO, characterDIAG, integerN, complex, dimension( * )AP, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)CTPCON Purpose: CTPCON estimates the reciprocal of the condition number of a packed triangular matrix A, in either the 1-norm or…
ctgsyl.f – SynopsisFunctions/Subroutinessubroutine ctgsyl (TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, DIF, WORK, LWORK, IWORK, INFO) CTGSYL Function/Subroutine Documentationsubroutine ctgsyl (characterTRANS, integerIJOB, integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldc, * )C, integerLDC, complex, dimension( ldd,…
ctgsy2.f – SynopsisFunctions/Subroutinessubroutine ctgsy2 (TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, RDSUM, RDSCAL, INFO) CTGSY2 solves the generalized Sylvester equation (unblocked algorithm). Function/Subroutine Documentationsubroutine ctgsy2 (characterTRANS, integerIJOB, integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldc, *…
ctgsna.f – SynopsisFunctions/Subroutinessubroutine ctgsna (JOB, HOWMNY, SELECT, N, A, LDA, B, LDB, VL, LDVL, VR, LDVR, S, DIF, MM, M, WORK, LWORK, IWORK, INFO) CTGSNA Function/Subroutine Documentationsubroutine ctgsna (characterJOB, characterHOWMNY, logical, dimension( * )SELECT, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldvl, * )VL, integerLDVL, complex, dimension(…