dlarrb.f – Synopsis Functions/Subroutines subroutine dlarrb (N, D, LLD, IFIRST, ILAST, RTOL1, RTOL2, OFFSET, W, WGAP, WERR, WORK, IWORK, PIVMIN, SPDIAM, TWIST, INFO) DLARRB provides limited bisection to locate eigenvalues for more accuracy. Function/Subroutine Documentation subroutine dlarrb (integerN, double precision, dimension( * )D, double precision, dimension( * )LLD, integerIFIRST, integerILAST, double precisionRTOL1, double precisionRTOL2, integerOFFSET,…
dlarra.f – Synopsis Functions/Subroutines subroutine dlarra (N, D, E, E2, SPLTOL, TNRM, NSPLIT, ISPLIT, INFO) DLARRA computes the splitting points with the specified threshold. Function/Subroutine Documentation subroutine dlarra (integerN, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( * )E2, double precisionSPLTOL, double precisionTNRM, integerNSPLIT, integer, dimension( * )ISPLIT, integerINFO) DLARRA…
dlarnv.f – Synopsis Functions/Subroutines subroutine dlarnv (IDIST, ISEED, N, X) DLARNV returns a vector of random numbers from a uniform or normal distribution. Function/Subroutine Documentation subroutine dlarnv (integerIDIST, integer, dimension( 4 )ISEED, integerN, double precision, dimension( * )X) DLARNV returns a vector of random numbers from a uniform or normal distribution. Purpose: DLARNV returns a…
dlargv.f – Synopsis Functions/Subroutines subroutine dlargv (N, X, INCX, Y, INCY, C, INCC) DLARGV generates a vector of plane rotations with real cosines and real sines. Function/Subroutine Documentation subroutine dlargv (integerN, double precision, dimension( * )X, integerINCX, double precision, dimension( * )Y, integerINCY, double precision, dimension( * )C, integerINCC) DLARGV generates a vector of plane…
dlarfx.f – Synopsis Functions/Subroutines subroutine dlarfx (SIDE, M, N, V, TAU, C, LDC, WORK) DLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10. Function/Subroutine Documentation subroutine dlarfx (characterSIDE, integerM, integerN, double precision, dimension( * )V, double precisionTAU, double precision, dimension( ldc, * )C, integerLDC,…
dlarft.f – Synopsis Functions/Subroutines subroutine dlarft (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) DLARFT forms the triangular factor T of a block reflector H = I – vtvH Function/Subroutine Documentation subroutine dlarft (characterDIRECT, characterSTOREV, integerN, integerK, double precision, dimension( ldv, * )V, integerLDV, double precision, dimension( * )TAU, double precision, dimension( ldt, *…
dlarfgp.f – Synopsis Functions/Subroutines subroutine dlarfgp (N, ALPHA, X, INCX, TAU) DLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Function/Subroutine Documentation subroutine dlarfgp (integerN, double precisionALPHA, double precision, dimension( * )X, integerINCX, double precisionTAU) DLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Purpose: DLARFGP generates a real elementary reflector H of…
dlarfg.f – Synopsis Functions/Subroutines subroutine dlarfg (N, ALPHA, X, INCX, TAU) DLARFG generates an elementary reflector (Householder matrix). Function/Subroutine Documentation subroutine dlarfg (integerN, double precisionALPHA, double precision, dimension( * )X, integerINCX, double precisionTAU) DLARFG generates an elementary reflector (Householder matrix). Purpose: DLARFG generates a real elementary reflector H of order n, such that H *…
dlarfb.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine dlarfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, double precision, dimension( ldv, * )V, integerLDV, double precision, dimension(…
dlarf.f – Synopsis Functions/Subroutines subroutine dlarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) DLARF applies an elementary reflector to a general rectangular matrix. Function/Subroutine Documentation subroutine dlarf (characterSIDE, integerM, integerN, double precision, dimension( * )V, integerINCV, double precisionTAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK) DLARF applies an…
dlar2v.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine dlar2v (integerN, double precision, dimension( * )X, double precision, dimension( * )Y, double precision, dimension(…
dlar1v.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine dlar1v…
dlaqtr.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine dlaqtr (logicalLTRAN, logicalLREAL, integerN, double precision, dimension( ldt, * )T, integerLDT, double precision, dimension( * )B,…
dlaqsy.f – Synopsis Functions/Subroutines subroutine dlaqsy (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED) DLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ. Function/Subroutine Documentation subroutine 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…
dlaqsp.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine dlaqsp (characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, characterEQUED) DLAQSP scales a symmetric/Hermitian matrix in packed…
dlaqsb.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine dlaqsb (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, characterEQUED) DLAQSB scales a symmetric/Hermitian…
dlaqr5.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine dlaqr5 (logicalWANTT, logicalWANTZ, integerKACC22, integerN, integerKTOP, integerKBOT, integerNSHFTS, double precision, dimension( * )SR,…
dlaqr4.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine dlaqr4 (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, double precision, dimension( ldh, * )H, integerLDH, double…
dlaqr3.f – Synopsis Functions/Subroutines subroutine 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…
dlaqr2.f – Synopsis Functions/Subroutines subroutine 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…