Section 3: library functions
dlatrd.f – SynopsisFunctions/Subroutinessubroutine dlatrd (UPLO, N, NB, A, LDA, E, TAU, W, LDW) DLATRD reduces the first nb rows and columns of a symmetric/Hermitian matrix A to real tridiagonal form by an orthogonal similarity transformation. Function/Subroutine Documentationsubroutine dlatrd (characterUPLO, integerN, integerNB, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )E, double precision,…
dlatps.f – SynopsisFunctions/Subroutinessubroutine dlatps (UPLO, TRANS, DIAG, NORMIN, N, AP, X, SCALE, CNORM, INFO) DLATPS solves a triangular system of equations with the matrix held in packed storage. Function/Subroutine Documentationsubroutine dlatps (characterUPLO, characterTRANS, characterDIAG, characterNORMIN, integerN, double precision, dimension( * )AP, double precision, dimension( * )X, double precisionSCALE, double precision, dimension( * )CNORM, integerINFO)DLATPS solves…
dlatdf.f – SynopsisFunctions/Subroutinessubroutine dlatdf (IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV, JPIV) DLATDF uses the LU factorization of the n-by-n matrix computed by sgetc2 and computes a contribution to the reciprocal Dif-estimate. Function/Subroutine Documentationsubroutine dlatdf (integerIJOB, integerN, double precision, dimension( ldz, * )Z, integerLDZ, double precision, dimension( * )RHS, double precisionRDSUM, double precisionRDSCAL, integer,…
dlatbs.f – SynopsisFunctions/Subroutinessubroutine dlatbs (UPLO, TRANS, DIAG, NORMIN, N, KD, AB, LDAB, X, SCALE, CNORM, INFO) DLATBS solves a triangular banded system of equations. Function/Subroutine Documentationsubroutine dlatbs (characterUPLO, characterTRANS, characterDIAG, characterNORMIN, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )X, double precisionSCALE, double precision, dimension( * )CNORM, integerINFO)DLATBS solves a…
dlat2s.f – SynopsisFunctions/Subroutinessubroutine dlat2s (UPLO, N, A, LDA, SA, LDSA, INFO) DLAT2S converts a double-precision triangular matrix to a single-precision triangular matrix. Function/Subroutine Documentationsubroutine dlat2s (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, real, dimension( ldsa, * )SA, integerLDSA, integerINFO)DLAT2S converts a double-precision triangular matrix to a single-precision triangular matrix. Purpose: DLAT2S converts a…
dlasyf.f – SynopsisFunctions/Subroutinessubroutine dlasyf (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) DLASYF computes a partial factorization of a real symmetric matrix using the Bunch-Kaufman diagonal pivoting method. Function/Subroutine Documentationsubroutine dlasyf (characterUPLO, integerN, integerNB, integerKB, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, double precision, dimension( ldw, * )W, integerLDW,…
dlasy2.f – SynopsisFunctions/Subroutinessubroutine dlasy2 (LTRANL, LTRANR, ISGN, N1, N2, TL, LDTL, TR, LDTR, B, LDB, SCALE, X, LDX, XNORM, INFO) DLASY2 solves the Sylvester matrix equation where the matrices are of order 1 or 2. Function/Subroutine Documentationsubroutine dlasy2 (logicalLTRANL, logicalLTRANR, integerISGN, integerN1, integerN2, double precision, dimension( ldtl, * )TL, integerLDTL, double precision, dimension( ldtr, *…
dlaswp.f – SynopsisFunctions/Subroutinessubroutine dlaswp (N, A, LDA, K1, K2, IPIV, INCX) DLASWP performs a series of row interchanges on a general rectangular matrix. Function/Subroutine Documentationsubroutine dlaswp (integerN, double precision, dimension( lda, * )A, integerLDA, integerK1, integerK2, integer, dimension( * )IPIV, integerINCX)DLASWP performs a series of row interchanges on a general rectangular matrix. Purpose: DLASWP performs…
dlasv2.f – SynopsisFunctions/Subroutinessubroutine dlasv2 (F, G, H, SSMIN, SSMAX, SNR, CSR, SNL, CSL) DLASV2 computes the singular value decomposition of a 2-by-2 triangular matrix. Function/Subroutine Documentationsubroutine dlasv2 (double precisionF, double precisionG, double precisionH, double precisionSSMIN, double precisionSSMAX, double precisionSNR, double precisionCSR, double precisionSNL, double precisionCSL)DLASV2 computes the singular value decomposition of a 2-by-2 triangular matrix….
dlassq.f – SynopsisFunctions/Subroutinessubroutine dlassq (N, X, INCX, SCALE, SUMSQ) DLASSQ updates a sum of squares represented in scaled form. Function/Subroutine Documentationsubroutine dlassq (integerN, double precision, dimension( * )X, integerINCX, double precisionSCALE, double precisionSUMSQ)DLASSQ updates a sum of squares represented in scaled form. Purpose: DLASSQ returns the values scl and smsq such that ( scl**2 )*smsq…
dlasrt.f – SynopsisFunctions/Subroutinessubroutine dlasrt (ID, N, D, INFO) DLASRT sorts numbers in increasing or decreasing order. Function/Subroutine Documentationsubroutine dlasrt (characterID, integerN, double precision, dimension( * )D, integerINFO)DLASRT sorts numbers in increasing or decreasing order. Purpose: Sort the numbers in D in increasing order (if ID = ‘I’) or in decreasing order (if ID = ‘D’…
dlasr.f – SynopsisFunctions/Subroutinessubroutine dlasr (SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA) DLASR applies a sequence of plane rotations to a general rectangular matrix. Function/Subroutine Documentationsubroutine dlasr (characterSIDE, characterPIVOT, characterDIRECT, integerM, integerN, double precision, dimension( * )C, double precision, dimension( * )S, double precision, dimension( lda, * )A, integerLDA)DLASR applies a sequence of plane…
dlasq6.f – SynopsisFunctions/Subroutinessubroutine dlasq6 (I0, N0, Z, PP, DMIN, DMIN1, DMIN2, DN, DNM1, DNM2) DLASQ6 computes one dqd transform in ping-pong form. Used by sbdsqr and sstegr. Function/Subroutine Documentationsubroutine dlasq6 (integerI0, integerN0, double precision, dimension( * )Z, integerPP, double precisionDMIN, double precisionDMIN1, double precisionDMIN2, double precisionDN, double precisionDNM1, double precisionDNM2)DLASQ6 computes one dqd transform in…
dlasq5.f – SynopsisFunctions/Subroutinessubroutine dlasq5 (I0, N0, Z, PP, TAU, SIGMA, DMIN, DMIN1, DMIN2, DN, DNM1, DNM2, IEEE, EPS) DLASQ5 computes one dqds transform in ping-pong form. Used by sbdsqr and sstegr. Function/Subroutine Documentationsubroutine dlasq5 (integerI0, integerN0, double precision, dimension( * )Z, integerPP, double precisionTAU, double precisionSIGMA, double precisionDMIN, double precisionDMIN1, double precisionDMIN2, double precisionDN, double…
dlasq4.f – SynopsisFunctions/Subroutinessubroutine dlasq4 (I0, N0, Z, PP, N0IN, DMIN, DMIN1, DMIN2, DN, DN1, DN2, TAU, TTYPE, G) DLASQ4 computes an approximation to the smallest eigenvalue using values of d from the previous transform. Used by sbdsqr. Function/Subroutine Documentationsubroutine dlasq4 (integerI0, integerN0, double precision, dimension( * )Z, integerPP, integerN0IN, double precisionDMIN, double precisionDMIN1, double precisionDMIN2,…
dlasq3.f – SynopsisFunctions/Subroutinessubroutine dlasq3 (I0, N0, Z, PP, DMIN, SIGMA, DESIG, QMAX, NFAIL, ITER, NDIV, IEEE, TTYPE, DMIN1, DMIN2, DN, DN1, DN2, G, TAU) DLASQ3 checks for deflation, computes a shift and calls dqds. Used by sbdsqr. Function/Subroutine Documentationsubroutine dlasq3 (integerI0, integerN0, double precision, dimension( * )Z, integerPP, double precisionDMIN, double precisionSIGMA, double precisionDESIG, double…
dlasq2.f – SynopsisFunctions/Subroutinessubroutine dlasq2 (N, Z, INFO) DLASQ2 computes all the eigenvalues of the symmetric positive definite tridiagonal matrix associated with the qd Array Z to high relative accuracy. Used by sbdsqr and sstegr. Function/Subroutine Documentationsubroutine dlasq2 (integerN, double precision, dimension( * )Z, integerINFO)DLASQ2 computes all the eigenvalues of the symmetric positive definite tridiagonal matrix…
dlasq1.f – SynopsisFunctions/Subroutinessubroutine dlasq1 (N, D, E, WORK, INFO) DLASQ1 computes the singular values of a real square bidiagonal matrix. Used by sbdsqr. Function/Subroutine Documentationsubroutine dlasq1 (integerN, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( * )WORK, integerINFO)DLASQ1 computes the singular values of a real square bidiagonal matrix. Used by…
dlaset.f – SynopsisFunctions/Subroutinessubroutine dlaset (UPLO, M, N, ALPHA, BETA, A, LDA) DLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values. Function/Subroutine Documentationsubroutine dlaset (characterUPLO, integerM, integerN, double precisionALPHA, double precisionBETA, double precision, dimension( lda, * )A, integerLDA)DLASET initializes the off-diagonal elements and the diagonal elements of a matrix to…
dlasdt.f – SynopsisFunctions/Subroutinessubroutine dlasdt (N, LVL, ND, INODE, NDIML, NDIMR, MSUB) DLASDT creates a tree of subproblems for bidiagonal divide and conquer. Used by sbdsdc. Function/Subroutine Documentationsubroutine dlasdt (integerN, integerLVL, integerND, integer, dimension( * )INODE, integer, dimension( * )NDIML, integer, dimension( * )NDIMR, integerMSUB)DLASDT creates a tree of subproblems for bidiagonal divide and conquer. Used…