Section 3: library functions
ctrti2.f – Synopsis Functions/Subroutines subroutine ctrti2 (UPLO, DIAG, N, A, LDA, INFO) CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). Function/Subroutine Documentation subroutine ctrti2 (characterUPLO, characterDIAG, integerN, complex, dimension( lda, * )A, integerLDA, integerINFO) CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). Purpose: CTRTI2 computes the inverse of a complex upper…
ctrsyl.f – Synopsis Functions/Subroutines subroutine ctrsyl (TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, SCALE, INFO) CTRSYL Function/Subroutine Documentation subroutine ctrsyl (characterTRANA, characterTRANB, integerISGN, integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldc, * )C, integerLDC, realSCALE, integerINFO) CTRSYL Purpose: CTRSYL solves the complex…
ctrsv.f – Synopsis Functions/Subroutines subroutine ctrsv (UPLO, TRANS, DIAG, N, A, LDA, X, INCX) CTRSV Function/Subroutine Documentation subroutine ctrsv (characterUPLO, characterTRANS, characterDIAG, integerN, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX) CTRSV Purpose: CTRSV 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…
ctrsna.f – Synopsis Functions/Subroutines subroutine ctrsna (JOB, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, S, SEP, MM, M, WORK, LDWORK, RWORK, INFO) CTRSNA Function/Subroutine Documentation subroutine ctrsna (characterJOB, characterHOWMNY, logical, dimension( * )SELECT, integerN, complex, dimension( ldt, * )T, integerLDT, complex, dimension( ldvl, * )VL, integerLDVL, complex, dimension( ldvr, * )VR, integerLDVR, real,…
ctrsm.f – Synopsis Functions/Subroutines subroutine ctrsm (SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB) CTRSM Function/Subroutine Documentation subroutine ctrsm (characterSIDE, characterUPLO, characterTRANSA, characterDIAG, integerM, integerN, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB) CTRSM Purpose: CTRSM solves one of the matrix equations op( A )*X = alpha*B, or X*op( A ) = alpha*B,…
ctrsen.f – Synopsis Functions/Subroutines subroutine ctrsen (JOB, COMPQ, SELECT, N, T, LDT, Q, LDQ, W, M, S, SEP, WORK, LWORK, INFO) CTRSEN Function/Subroutine Documentation subroutine ctrsen (characterJOB, characterCOMPQ, logical, dimension( * )SELECT, integerN, complex, dimension( ldt, * )T, integerLDT, complex, dimension( ldq, * )Q, integerLDQ, complex, dimension( * )W, integerM, realS, realSEP, complex, dimension( *…
ctrrfs.f – Synopsis Functions/Subroutines subroutine ctrrfs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CTRRFS Function/Subroutine Documentation subroutine ctrrfs (characterUPLO, characterTRANS, characterDIAG, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx, * )X, integerLDX, real, dimension( * )FERR, real,…
ctrmv.f – Synopsis Functions/Subroutines subroutine ctrmv (UPLO, TRANS, DIAG, N, A, LDA, X, INCX) CTRMV Function/Subroutine Documentation subroutine 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…
ctrmm.f – Synopsis Functions/Subroutines subroutine ctrmm (SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB) CTRMM Function/Subroutine Documentation subroutine 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 )…
ctrexc.f – Synopsis Functions/Subroutines subroutine ctrexc (COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, INFO) CTREXC Function/Subroutine Documentation subroutine 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…
ctrevc.f – Synopsis Functions/Subroutines subroutine ctrevc (SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO) CTREVC Function/Subroutine Documentation subroutine 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(…
ctrcon.f – Synopsis Functions/Subroutines subroutine ctrcon (NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, RWORK, INFO) CTRCON Function/Subroutine Documentation subroutine 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…
ctpttr.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine ctpttr (characterUPLO, integerN, complex, dimension( * )AP, complex, dimension( lda, * )A, integerLDA, integerINFO) CTPTTR copies a triangular matrix from the standard packed…
ctpttf.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine ctpttf (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: * )AP, complex, dimension( 0: * )ARF, integerINFO) CTPTTF copies a triangular matrix from the…
ctptrs.f – Synopsis Functions/Subroutines subroutine ctptrs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, INFO) CTPTRS Function/Subroutine Documentation subroutine 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 =…
ctptri.f – Synopsis Functions/Subroutines subroutine ctptri (UPLO, DIAG, N, AP, INFO) CTPTRI Function/Subroutine Documentation subroutine 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;…
ctpsv.f – Synopsis Functions/Subroutines subroutine ctpsv (UPLO, TRANS, DIAG, N, AP, X, INCX) CTPSV Function/Subroutine Documentation subroutine 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…
ctprfs.f – Synopsis Functions/Subroutines subroutine ctprfs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CTPRFS Function/Subroutine Documentation subroutine 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,…
ctprfb.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine ctprfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN,…
ctpqrt2.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine ctpqrt2 (integerM, integerN, integerL, complex, dimension(…