Section 3: library functions
clahrd.f – SynopsisFunctions/Subroutinessubroutine clahrd (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) CLAHRD reduces the first nb columns of a general rectangular matrix A so that elements below the k-th subdiagonal are zero, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part of A. Function/Subroutine Documentationsubroutine clahrd…
clahr2.f – SynopsisFunctions/Subroutinessubroutine clahr2 (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) CLAHR2 reduces the specified number of first columns of a general rectangular matrix A so that elements below the specified subdiagonal are zero, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part of A. Function/Subroutine…
clahqr.f – SynopsisFunctions/Subroutinessubroutine clahqr (WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, INFO) CLAHQR computes the eigenvalues and Schur factorization of an upper Hessenberg matrix, using the double-shift/single-shift QR algorithm. Function/Subroutine Documentationsubroutine clahqr (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, complex, dimension( ldh, * )H, integerLDH, complex, dimension( * )W, integerILOZ, integerIHIZ, complex,…
clahef.f – SynopsisFunctions/Subroutinessubroutine clahef (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) CLAHEF computes a partial factorization of a complex Hermitian indefinite matrix using the Bunch-Kaufman diagonal pivoting method (blocked algorithm, calling Level 3 BLAS). Function/Subroutine Documentationsubroutine clahef (characterUPLO, integerN, integerNB, integerKB, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex,…
clagtm.f – SynopsisFunctions/Subroutinessubroutine clagtm (TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB) CLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1. Function/Subroutine Documentationsubroutine clagtm…
clags2.f – SynopsisFunctions/Subroutinessubroutine clags2 (UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ) CLAGS2 Function/Subroutine Documentationsubroutine clags2 (logicalUPPER, realA1, complexA2, realA3, realB1, complexB2, realB3, realCSU, complexSNU, realCSV, complexSNV, realCSQ, complexSNQ)CLAGS2 Purpose: CLAGS2 computes 2-by-2 unitary matrices U, V and Q, such that if ( UPPER ) then U**H *A*Q = U**H…
clag2z.f – SynopsisFunctions/Subroutinessubroutine clag2z (M, N, SA, LDSA, A, LDA, INFO) CLAG2Z converts a complex single precision matrix to a complex double precision matrix. Function/Subroutine Documentationsubroutine clag2z (integerM, integerN, complex, dimension( ldsa, * )SA, integerLDSA, complex*16, dimension( lda, * )A, integerLDA, integerINFO)CLAG2Z converts a complex single precision matrix to a complex double precision matrix. Purpose:…
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…