Section 3: library functions
dlarfb.f – SynopsisFunctions/Subroutinessubroutine dlarfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK) DLARFB applies a block reflector or its transpose to a general rectangular matrix. Function/Subroutine Documentationsubroutine dlarfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, double precision, dimension( ldv, * )V, integerLDV, double precision, dimension( ldt, * )T,…
dlarf.f – SynopsisFunctions/Subroutinessubroutine dlarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) DLARF applies an elementary reflector to a general rectangular matrix. Function/Subroutine Documentationsubroutine dlarf (characterSIDE, integerM, integerN, double precision, dimension( * )V, integerINCV, double precisionTAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK)DLARF applies an elementary reflector to a…
dlar2v.f – SynopsisFunctions/Subroutinessubroutine dlar2v (N, X, Y, Z, INCX, C, S, INCC) DLAR2V applies a vector of plane rotations with real cosines and real sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. Function/Subroutine Documentationsubroutine dlar2v (integerN, double precision, dimension( * )X, double precision, dimension( * )Y, double precision, dimension( * )Z, integerINCX,…
dlar1v.f – SynopsisFunctions/Subroutinessubroutine dlar1v (N, B1, BN, LAMBDA, D, L, LD, LLD, PIVMIN, GAPTOL, Z, WANTNC, NEGCNT, ZTZ, MINGMA, R, ISUPPZ, NRMINV, RESID, RQCORR, WORK) DLAR1V computes the (scaled) r-th column of the inverse of the submatrix in rows b1 through bn of the tridiagonal matrix LDLT – λI. Function/Subroutine Documentationsubroutine dlar1v (integerN, integerB1, integerBN,…
dlaqtr.f – SynopsisFunctions/Subroutinessubroutine dlaqtr (LTRAN, LREAL, N, T, LDT, B, W, SCALE, X, WORK, INFO) DLAQTR solves a real quasi-triangular system of equations, or a complex quasi-triangular system of special form, in real arithmetic. Function/Subroutine Documentationsubroutine dlaqtr (logicalLTRAN, logicalLREAL, integerN, double precision, dimension( ldt, * )T, integerLDT, double precision, dimension( * )B, double precisionW, double…
dlaqsy.f – SynopsisFunctions/Subroutinessubroutine dlaqsy (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED) DLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ. Function/Subroutine Documentationsubroutine dlaqsy (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, characterEQUED)DLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ….
dlaqsp.f – SynopsisFunctions/Subroutinessubroutine dlaqsp (UPLO, N, AP, S, SCOND, AMAX, EQUED) DLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ. Function/Subroutine Documentationsubroutine dlaqsp (characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, characterEQUED)DLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors…
dlaqsb.f – SynopsisFunctions/Subroutinessubroutine dlaqsb (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED) DLAQSB scales a symmetric/Hermitian band matrix, using scaling factors computed by spbequ. Function/Subroutine Documentationsubroutine dlaqsb (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, characterEQUED)DLAQSB scales a symmetric/Hermitian band matrix, using scaling…
dlaqr5.f – SynopsisFunctions/Subroutinessubroutine dlaqr5 (WANTT, WANTZ, KACC22, N, KTOP, KBOT, NSHFTS, SR, SI, H, LDH, ILOZ, IHIZ, Z, LDZ, V, LDV, U, LDU, NV, WV, LDWV, NH, WH, LDWH) DLAQR5 performs a single small-bulge multi-shift QR sweep. Function/Subroutine Documentationsubroutine dlaqr5 (logicalWANTT, logicalWANTZ, integerKACC22, integerN, integerKTOP, integerKBOT, integerNSHFTS, double precision, dimension( * )SR, double precision, dimension(…
dlaqr4.f – SynopsisFunctions/Subroutinessubroutine dlaqr4 (WANTT, WANTZ, N, ILO, IHI, H, LDH, WR, WI, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO) DLAQR4 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. Function/Subroutine Documentationsubroutine dlaqr4 (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, double precision, dimension( ldh, * )H, integerLDH, double precision, dimension( *…
dlaqr3.f – SynopsisFunctions/Subroutinessubroutine dlaqr3 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SR, SI, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK) DLAQR3 performs the orthogonal similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation)….
dlaqr2.f – SynopsisFunctions/Subroutinessubroutine dlaqr2 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SR, SI, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK) DLAQR2 performs the orthogonal similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation)….
dlaqr1.f – SynopsisFunctions/Subroutinessubroutine dlaqr1 (N, H, LDH, SR1, SI1, SR2, SI2, V) DLAQR1 sets a scalar multiple of the first column of the product of 2-by-2 or 3-by-3 matrix H and specified shifts. Function/Subroutine Documentationsubroutine dlaqr1 (integerN, double precision, dimension( ldh, * )H, integerLDH, double precisionSR1, double precisionSI1, double precisionSR2, double precisionSI2, double precision, dimension(…
dlaqr0.f – SynopsisFunctions/Subroutinessubroutine dlaqr0 (WANTT, WANTZ, N, ILO, IHI, H, LDH, WR, WI, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO) DLAQR0 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. Function/Subroutine Documentationsubroutine dlaqr0 (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, double precision, dimension( ldh, * )H, integerLDH, double precision, dimension( *…
dlaqps.f – SynopsisFunctions/Subroutinessubroutine dlaqps (M, N, OFFSET, NB, KB, A, LDA, JPVT, TAU, VN1, VN2, AUXV, F, LDF) DLAQPS computes a step of QR factorization with column pivoting of a real m-by-n matrix A by using BLAS level 3. Function/Subroutine Documentationsubroutine dlaqps (integerM, integerN, integerOFFSET, integerNB, integerKB, double precision, dimension( lda, * )A, integerLDA, integer,…
dlaqp2.f – SynopsisFunctions/Subroutinessubroutine dlaqp2 (M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2, WORK) DLAQP2 computes a QR factorization with column pivoting of the matrix block. Function/Subroutine Documentationsubroutine dlaqp2 (integerM, integerN, integerOFFSET, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, double precision, dimension( * )TAU, double precision, dimension( * )VN1, double precision,…
dlaqge.f – SynopsisFunctions/Subroutinessubroutine dlaqge (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, EQUED) DLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ. Function/Subroutine Documentationsubroutine dlaqge (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )R, double precision, dimension( * )C, double precisionROWCND, double precisionCOLCND,…
dlaqgb.f – SynopsisFunctions/Subroutinessubroutine dlaqgb (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, EQUED) DLAQGB scales a general band matrix, using row and column scaling factors computed by sgbequ. Function/Subroutine Documentationsubroutine dlaqgb (integerM, integerN, integerKL, integerKU, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )R, double precision, dimension( * )C,…
dlapy3.f – SynopsisFunctions/SubroutinesDOUBLE PRECISION function dlapy3 (X, Y, Z) DLAPY3 returns sqrt(x2+y2+z2). Function/Subroutine DocumentationDOUBLE PRECISION function dlapy3 (double precisionX, double precisionY, double precisionZ)DLAPY3 returns sqrt(x2+y2+z2). Purpose: DLAPY3 returns sqrt(x**2+y**2+z**2), taking care not to cause unnecessary overflow. Parameters: X X is DOUBLE PRECISIONY Y is DOUBLE PRECISIONZ Z is DOUBLE PRECISION X, Y and Z specify…
dlapy2.f – SynopsisFunctions/SubroutinesDOUBLE PRECISION function dlapy2 (X, Y) DLAPY2 returns sqrt(x2+y2). Function/Subroutine DocumentationDOUBLE PRECISION function dlapy2 (double precisionX, double precisionY)DLAPY2 returns sqrt(x2+y2). Purpose: DLAPY2 returns sqrt(x**2+y**2), taking care not to cause unnecessary overflow. Parameters: X X is DOUBLE PRECISIONY Y is DOUBLE PRECISION X and Y specify the values x and y. Author: Univ. of…