Section 3: library functions
ctgexc.f – SynopsisFunctions/Subroutinessubroutine ctgexc (WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, LDZ, IFST, ILST, INFO) CTGEXC Function/Subroutine Documentationsubroutine ctgexc (logicalWANTQ, logicalWANTZ, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldq, * )Q, integerLDQ, complex, dimension( ldz, * )Z, integerLDZ, integerIFST, integerILST, integerINFO)CTGEXC Purpose: CTGEXC reorders…
ctgex2.f – SynopsisFunctions/Subroutinessubroutine ctgex2 (WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, LDZ, J1, INFO) CTGEX2 swaps adjacent diagonal blocks in an upper (quasi) triangular matrix pair by an unitary equivalence transformation. Function/Subroutine Documentationsubroutine ctgex2 (logicalWANTQ, logicalWANTZ, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldq,…
ctgevc.f – SynopsisFunctions/Subroutinessubroutine ctgevc (SIDE, HOWMNY, SELECT, N, S, LDS, P, LDP, VL, LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO) CTGEVC Function/Subroutine Documentationsubroutine ctgevc (characterSIDE, characterHOWMNY, logical, dimension( * )SELECT, integerN, complex, dimension( lds, * )S, integerLDS, complex, dimension( ldp, * )P, integerLDP, complex, dimension( ldvl, * )VL, integerLDVL, complex, dimension( ldvr, * )VR,…
ctfttr.f – SynopsisFunctions/Subroutinessubroutine ctfttr (TRANSR, UPLO, N, ARF, A, LDA, INFO) CTFTTR copies a triangular matrix from the rectangular full packed format (TF) to the standard full format (TR). Function/Subroutine Documentationsubroutine ctfttr (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: * )ARF, complex, dimension( 0: lda-1, 0: * )A, integerLDA, integerINFO)CTFTTR copies a triangular matrix from the…
ctfttp.f – SynopsisFunctions/Subroutinessubroutine ctfttp (TRANSR, UPLO, N, ARF, AP, INFO) CTFTTP copies a triangular matrix from the rectangular full packed format (TF) to the standard packed format (TP). Function/Subroutine Documentationsubroutine ctfttp (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: * )ARF, complex, dimension( 0: * )AP, integerINFO)CTFTTP copies a triangular matrix from the rectangular full packed format…
ctftri.f – SynopsisFunctions/Subroutinessubroutine ctftri (TRANSR, UPLO, DIAG, N, A, INFO) CTFTRI Function/Subroutine Documentationsubroutine ctftri (characterTRANSR, characterUPLO, characterDIAG, integerN, complex, dimension( 0: * )A, integerINFO)CTFTRI Purpose: CTFTRI computes the inverse of a triangular matrix A stored in RFP format. This is a Level 3 BLAS version of the algorithm. Parameters: TRANSR TRANSR is CHARACTER*1 = ‘N’:…
ctfsm.f – SynopsisFunctions/Subroutinessubroutine ctfsm (TRANSR, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA, A, B, LDB) CTFSM solves a matrix equation (one operand is a triangular matrix in RFP format). Function/Subroutine Documentationsubroutine ctfsm (characterTRANSR, characterSIDE, characterUPLO, characterTRANS, characterDIAG, integerM, integerN, complexALPHA, complex, dimension( 0: * )A, complex, dimension( 0: ldb-1, 0: * )B, integerLDB)CTFSM solves a…
ctbtrs.f – SynopsisFunctions/Subroutinessubroutine ctbtrs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, INFO) CTBTRS Function/Subroutine Documentationsubroutine ctbtrs (characterUPLO, characterTRANS, characterDIAG, integerN, integerKD, integerNRHS, complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( ldb, * )B, integerLDB, integerINFO)CTBTRS Purpose: CTBTRS solves a triangular system of the form A * X = B, A**T * X…
ctbsv.f – SynopsisFunctions/Subroutinessubroutine ctbsv (UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX) CTBSV Function/Subroutine Documentationsubroutine ctbsv (characterUPLO, characterTRANS, characterDIAG, integerN, integerK, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX)CTBSV Purpose: CTBSV 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…
ctbrfs.f – SynopsisFunctions/Subroutinessubroutine ctbrfs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CTBRFS Function/Subroutine Documentationsubroutine ctbrfs (characterUPLO, characterTRANS, characterDIAG, integerN, integerKD, integerNRHS, complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx, * )X, integerLDX, real, dimension( * )FERR, real, dimension(…
ctbmv.f – SynopsisFunctions/Subroutinessubroutine ctbmv (UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX) CTBMV Function/Subroutine Documentationsubroutine ctbmv (characterUPLO, characterTRANS, characterDIAG, integerN, integerK, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX)CTBMV Purpose: CTBMV 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…
ctbcon.f – SynopsisFunctions/Subroutinessubroutine ctbcon (NORM, UPLO, DIAG, N, KD, AB, LDAB, RCOND, WORK, RWORK, INFO) CTBCON Function/Subroutine Documentationsubroutine ctbcon (characterNORM, characterUPLO, characterDIAG, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)CTBCON Purpose: CTBCON estimates the reciprocal of the condition number of a triangular band matrix A,…
csytrs2.f – SynopsisFunctions/Subroutinessubroutine csytrs2 (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, INFO) CSYTRS2 Function/Subroutine Documentationsubroutine csytrs2 (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, complex, dimension( * )WORK, integerINFO)CSYTRS2 Purpose: CSYTRS2 solves a system of linear equations A*X = B with a…
csytrs.f – SynopsisFunctions/Subroutinessubroutine csytrs (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO) CSYTRS Function/Subroutine Documentationsubroutine csytrs (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, integerINFO)CSYTRS Purpose: CSYTRS solves a system of linear equations A*X = B with a complex symmetric matrix A using…
csytri2x.f – SynopsisFunctions/Subroutinessubroutine csytri2x (UPLO, N, A, LDA, IPIV, WORK, NB, INFO) CSYTRI2X Function/Subroutine Documentationsubroutine csytri2x (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( n+nb+1,* )WORK, integerNB, integerINFO)CSYTRI2X Purpose: CSYTRI2X computes the inverse of a real symmetric indefinite matrix A using the factorization A = U*D*U**T or A =…
csytri2.f – SynopsisFunctions/Subroutinessubroutine csytri2 (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) CSYTRI2 Function/Subroutine Documentationsubroutine csytri2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerLWORK, integerINFO)CSYTRI2 Purpose: CSYTRI2 computes the inverse of a COMPLEX symmetric indefinite matrix A using the factorization A = U*D*U**T or A =…
csytri.f – SynopsisFunctions/Subroutinessubroutine csytri (UPLO, N, A, LDA, IPIV, WORK, INFO) CSYTRI Function/Subroutine Documentationsubroutine csytri (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerINFO)CSYTRI Purpose: CSYTRI computes the inverse of a complex symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed…
csytrf.f – SynopsisFunctions/Subroutinessubroutine csytrf (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) CSYTRF Function/Subroutine Documentationsubroutine csytrf (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerLWORK, integerINFO)CSYTRF Purpose: CSYTRF computes the factorization of a complex symmetric matrix A using the Bunch-Kaufman diagonal pivoting method. The form of the…
csytf2.f – SynopsisFunctions/Subroutinessubroutine csytf2 (UPLO, N, A, LDA, IPIV, INFO) CSYTF2 computes the factorization of a real symmetric indefinite matrix, using the diagonal pivoting method (unblocked algorithm). Function/Subroutine Documentationsubroutine csytf2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO)CSYTF2 computes the factorization of a real symmetric indefinite matrix, using the diagonal…
csyswapr.f – SynopsisFunctions/Subroutinessubroutine csyswapr (UPLO, N, A, LDA, I1, I2) CSYSWAPR Function/Subroutine Documentationsubroutine csyswapr (characterUPLO, integerN, complex, dimension( lda, n )A, integerLDA, integerI1, integerI2)CSYSWAPR Purpose: CSYSWAPR applies an elementary permutation on the rows and the columns of a symmetric matrix. Parameters: UPLO UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as…