NAME slarrd.f – SYNOPSIS Functions/Subroutines subroutine slarrd (RANGE, ORDER, N, VL, VU, IL, IU, GERS, RELTOL, D, E, E2, PIVMIN, NSPLIT, ISPLIT, M, W, WERR, WL, WU, IBLOCK, INDEXW, WORK, IWORK, INFO) SLARRD computes the eigenvalues of a symmetric tridiagonal matrix to suitable accuracy. Function/Subroutine Documentation subroutine slarrd (characterRANGE, characterORDER, integerN, realVL, realVU, integerIL, integerIU,…
NAME slarrc.f – SYNOPSIS Functions/Subroutines subroutine slarrc (JOBT, N, VL, VU, D, E, PIVMIN, EIGCNT, LCNT, RCNT, INFO) SLARRC computes the number of eigenvalues of the symmetric tridiagonal matrix. Function/Subroutine Documentation subroutine slarrc (characterJOBT, integerN, realVL, realVU, real, dimension( * )D, real, dimension( * )E, realPIVMIN, integerEIGCNT, integerLCNT, integerRCNT, integerINFO) SLARRC computes the number of…
NAME slarrb.f – SYNOPSIS Functions/Subroutines subroutine slarrb (N, D, LLD, IFIRST, ILAST, RTOL1, RTOL2, OFFSET, W, WGAP, WERR, WORK, IWORK, PIVMIN, SPDIAM, TWIST, INFO) SLARRB provides limited bisection to locate eigenvalues for more accuracy. Function/Subroutine Documentation subroutine slarrb (integerN, real, dimension( * )D, real, dimension( * )LLD, integerIFIRST, integerILAST, realRTOL1, realRTOL2, integerOFFSET, real, dimension( *…
NAME slarra.f – SYNOPSIS Functions/Subroutines subroutine slarra (N, D, E, E2, SPLTOL, TNRM, NSPLIT, ISPLIT, INFO) SLARRA computes the splitting points with the specified threshold. Function/Subroutine Documentation subroutine slarra (integerN, real, dimension( * )D, real, dimension( * )E, real, dimension( * )E2, realSPLTOL, realTNRM, integerNSPLIT, integer, dimension( * )ISPLIT, integerINFO) SLARRA computes the splitting points…
NAME slarnv.f – SYNOPSIS Functions/Subroutines subroutine slarnv (IDIST, ISEED, N, X) SLARNV returns a vector of random numbers from a uniform or normal distribution. Function/Subroutine Documentation subroutine slarnv (integerIDIST, integer, dimension( 4 )ISEED, integerN, real, dimension( * )X) SLARNV returns a vector of random numbers from a uniform or normal distribution. Purpose: SLARNV returns a…
NAME slargv.f – SYNOPSIS Functions/Subroutines subroutine slargv (N, X, INCX, Y, INCY, C, INCC) SLARGV generates a vector of plane rotations with real cosines and real sines. Function/Subroutine Documentation subroutine slargv (integerN, real, dimension( * )X, integerINCX, real, dimension( * )Y, integerINCY, real, dimension( * )C, integerINCC) SLARGV generates a vector of plane rotations with…
NAME slarfx.f – SYNOPSIS Functions/Subroutines subroutine slarfx (SIDE, M, N, V, TAU, C, LDC, WORK) SLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10. Function/Subroutine Documentation subroutine slarfx (characterSIDE, integerM, integerN, real, dimension( * )V, realTAU, real, dimension( ldc, * )C, integerLDC, real, dimension(…
slarft.f – Synopsis Functions/Subroutines subroutine slarft (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) SLARFT forms the triangular factor T of a block reflector H = I – vtvH Function/Subroutine Documentation subroutine slarft (characterDIRECT, characterSTOREV, integerN, integerK, real, dimension( ldv, * )V, integerLDV, real, dimension( * )TAU, real, dimension( ldt, * )T, integerLDT) SLARFT…
NAME slarfgp.f – SYNOPSIS Functions/Subroutines subroutine slarfgp (N, ALPHA, X, INCX, TAU) SLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Function/Subroutine Documentation subroutine slarfgp (integerN, realALPHA, real, dimension( * )X, integerINCX, realTAU) SLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Purpose: SLARFGP generates a real elementary reflector H of order n,…
NAME slarfg.f – SYNOPSIS Functions/Subroutines subroutine slarfg (N, ALPHA, X, INCX, TAU) SLARFG generates an elementary reflector (Householder matrix). Function/Subroutine Documentation subroutine slarfg (integerN, realALPHA, real, dimension( * )X, integerINCX, realTAU) SLARFG generates an elementary reflector (Householder matrix). Purpose: SLARFG generates a real elementary reflector H of order n, such that H * ( alpha…
NAME slarfb.f – SYNOPSIS Functions/Subroutines subroutine slarfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK) SLARFB applies a block reflector or its transpose to a general rectangular matrix. Function/Subroutine Documentation subroutine slarfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, real, dimension( ldv, * )V, integerLDV, real, dimension( ldt,…
NAME slarf.f – SYNOPSIS Functions/Subroutines subroutine slarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) SLARF applies an elementary reflector to a general rectangular matrix. Function/Subroutine Documentation subroutine slarf (characterSIDE, integerM, integerN, real, dimension( * )V, integerINCV, realTAU, real, dimension( ldc, * )C, integerLDC, real, dimension( * )WORK) SLARF applies an elementary reflector to…
NAME slar2v.f – SYNOPSIS Functions/Subroutines subroutine slar2v (N, X, Y, Z, INCX, C, S, INCC) SLAR2V 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 slar2v (integerN, real, dimension( * )X, real, dimension( * )Y, real, dimension( * )Z,…
NAME slar1v.f – SYNOPSIS Functions/Subroutines subroutine slar1v (N, B1, BN, LAMBDA, D, L, LD, LLD, PIVMIN, GAPTOL, Z, WANTNC, NEGCNT, ZTZ, MINGMA, R, ISUPPZ, NRMINV, RESID, RQCORR, WORK) SLAR1V 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…
NAME slaqtr.f – SYNOPSIS Functions/Subroutines subroutine slaqtr (LTRAN, LREAL, N, T, LDT, B, W, SCALE, X, WORK, INFO) SLAQTR solves a real quasi-triangular system of equations, or a complex quasi-triangular system of special form, in real arithmetic. Function/Subroutine Documentation subroutine slaqtr (logicalLTRAN, logicalLREAL, integerN, real, dimension( ldt, * )T, integerLDT, real, dimension( * )B, realW,…
NAME slaqsy.f – SYNOPSIS Functions/Subroutines subroutine slaqsy (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED) SLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ. Function/Subroutine Documentation subroutine slaqsy (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )S, realSCOND, realAMAX, characterEQUED) SLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by…
NAME slaqsp.f – SYNOPSIS Functions/Subroutines subroutine slaqsp (UPLO, N, AP, S, SCOND, AMAX, EQUED) SLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ. Function/Subroutine Documentation subroutine slaqsp (characterUPLO, integerN, real, dimension( * )AP, real, dimension( * )S, realSCOND, realAMAX, characterEQUED) SLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling…
NAME slaqsb.f – SYNOPSIS Functions/Subroutines subroutine slaqsb (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED) SLAQSB scales a symmetric/Hermitian band matrix, using scaling factors computed by spbequ. Function/Subroutine Documentation subroutine slaqsb (characterUPLO, integerN, integerKD, real, dimension( ldab, * )AB, integerLDAB, real, dimension( * )S, realSCOND, realAMAX, characterEQUED) SLAQSB scales a symmetric/Hermitian band matrix, using…
NAME slaqr5.f – SYNOPSIS Functions/Subroutines subroutine slaqr5 (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) SLAQR5 performs a single small-bulge multi-shift QR sweep. Function/Subroutine Documentation subroutine slaqr5 (logicalWANTT, logicalWANTZ, integerKACC22, integerN, integerKTOP, integerKBOT, integerNSHFTS, real, dimension( * )SR,…
NAME slaqr4.f – SYNOPSIS Functions/Subroutines subroutine slaqr4 (WANTT, WANTZ, N, ILO, IHI, H, LDH, WR, WI, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO) SLAQR4 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. Function/Subroutine Documentation subroutine slaqr4 (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, real, dimension( ldh, * )H, integerLDH, real,…