Section 3: library functions
clarrv.f – SynopsisFunctions/Subroutinessubroutine clarrv (N, VL, VU, D, L, PIVMIN, ISPLIT, M, DOL, DOU, MINRGP, RTOL1, RTOL2, W, WERR, WGAP, IBLOCK, INDEXW, GERS, Z, LDZ, ISUPPZ, WORK, IWORK, INFO) CLARRV computes the eigenvectors of the tridiagonal matrix T = L D LT given L, D and the eigenvalues of L D LT. Function/Subroutine Documentationsubroutine clarrv…
clarnv.f – SynopsisFunctions/Subroutinessubroutine clarnv (IDIST, ISEED, N, X) CLARNV returns a vector of random numbers from a uniform or normal distribution. Function/Subroutine Documentationsubroutine clarnv (integerIDIST, integer, dimension( 4 )ISEED, integerN, complex, dimension( * )X)CLARNV returns a vector of random numbers from a uniform or normal distribution. Purpose: CLARNV returns a vector of n random complex…
clargv.f – SynopsisFunctions/Subroutinessubroutine clargv (N, X, INCX, Y, INCY, C, INCC) CLARGV generates a vector of plane rotations with real cosines and complex sines. Function/Subroutine Documentationsubroutine clargv (integerN, complex, dimension( * )X, integerINCX, complex, dimension( * )Y, integerINCY, real, dimension( * )C, integerINCC)CLARGV generates a vector of plane rotations with real cosines and complex sines….
clarfx.f – SynopsisFunctions/Subroutinessubroutine clarfx (SIDE, M, N, V, TAU, C, LDC, WORK) CLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10. Function/Subroutine Documentationsubroutine clarfx (characterSIDE, integerM, integerN, complex, dimension( * )V, complexTAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK)CLARFX applies an…
clarft.f – SynopsisFunctions/Subroutinessubroutine clarft (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) CLARFT forms the triangular factor T of a block reflector H = I – vtvH Function/Subroutine Documentationsubroutine clarft (characterDIRECT, characterSTOREV, integerN, integerK, complex, dimension( ldv, * )V, integerLDV, complex, dimension( * )TAU, complex, dimension( ldt, * )T, integerLDT)CLARFT forms the triangular factor…
clarfgp.f – SynopsisFunctions/Subroutinessubroutine clarfgp (N, ALPHA, X, INCX, TAU) CLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Function/Subroutine Documentationsubroutine clarfgp (integerN, complexALPHA, complex, dimension( * )X, integerINCX, complexTAU)CLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Purpose: CLARFGP generates a complex elementary reflector H of order n, such that H**H * (…
clarfg.f – SynopsisFunctions/Subroutinessubroutine clarfg (N, ALPHA, X, INCX, TAU) CLARFG generates an elementary reflector (Householder matrix). Function/Subroutine Documentationsubroutine clarfg (integerN, complexALPHA, complex, dimension( * )X, integerINCX, complexTAU)CLARFG generates an elementary reflector (Householder matrix). Purpose: CLARFG generates a complex elementary reflector H of order n, such that H**H * ( alpha ) = ( beta ),…
clarfb.f – SynopsisFunctions/Subroutinessubroutine clarfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK) CLARFB applies a block reflector or its conjugate-transpose to a general rectangular matrix. Function/Subroutine Documentationsubroutine clarfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, complex, dimension( ldv, * )V, integerLDV, complex, dimension( ldt, * )T, integerLDT, complex,…
clarf.f – SynopsisFunctions/Subroutinessubroutine clarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) CLARF applies an elementary reflector to a general rectangular matrix. Function/Subroutine Documentationsubroutine clarf (characterSIDE, integerM, integerN, complex, dimension( * )V, integerINCV, complexTAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK)CLARF applies an elementary reflector to a general rectangular matrix. Purpose:…
clarcm.f – SynopsisFunctions/Subroutinessubroutine clarcm (M, N, A, LDA, B, LDB, C, LDC, RWORK) CLARCM copies all or part of a real two-dimensional array to a complex array. Function/Subroutine Documentationsubroutine clarcm (integerM, integerN, real, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldc, * )C, integerLDC, real, dimension( * )RWORK)CLARCM copies…
clar2v.f – SynopsisFunctions/Subroutinessubroutine clar2v (N, X, Y, Z, INCX, C, S, INCC) CLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. Function/Subroutine Documentationsubroutine clar2v (integerN, complex, dimension( * )X, complex, dimension( * )Y, complex, dimension( * )Z, integerINCX, real, dimension( *…
clar1v.f – SynopsisFunctions/Subroutinessubroutine clar1v (N, B1, BN, LAMBDA, D, L, LD, LLD, PIVMIN, GAPTOL, Z, WANTNC, NEGCNT, ZTZ, MINGMA, R, ISUPPZ, NRMINV, RESID, RQCORR, WORK) CLAR1V 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 clar1v (integerN, integerB1, integerBN,…
claqsy.f – SynopsisFunctions/Subroutinessubroutine claqsy (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED) CLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ. Function/Subroutine Documentationsubroutine claqsy (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)CLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ. Purpose: CLAQSY equilibrates a…
claqsp.f – SynopsisFunctions/Subroutinessubroutine claqsp (UPLO, N, AP, S, SCOND, AMAX, EQUED) CLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ. Function/Subroutine Documentationsubroutine claqsp (characterUPLO, integerN, complex, dimension( * )AP, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)CLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ. Purpose:…
claqsb.f – SynopsisFunctions/Subroutinessubroutine claqsb (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED) CLAQSB scales a symmetric/Hermitian band matrix, using scaling factors computed by spbequ. Function/Subroutine Documentationsubroutine claqsb (characterUPLO, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)CLAQSB scales a symmetric/Hermitian band matrix, using scaling factors computed by spbequ….
claqr5.f – SynopsisFunctions/Subroutinessubroutine claqr5 (WANTT, WANTZ, KACC22, N, KTOP, KBOT, NSHFTS, S, H, LDH, ILOZ, IHIZ, Z, LDZ, V, LDV, U, LDU, NV, WV, LDWV, NH, WH, LDWH) CLAQR5 performs a single small-bulge multi-shift QR sweep. Function/Subroutine Documentationsubroutine claqr5 (logicalWANTT, logicalWANTZ, integerKACC22, integerN, integerKTOP, integerKBOT, integerNSHFTS, complex, dimension( * )S, complex, dimension( ldh, * )H,…
claqr4.f – SynopsisFunctions/Subroutinessubroutine claqr4 (WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO) CLAQR4 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. Function/Subroutine Documentationsubroutine claqr4 (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, complex, dimension( ldh, * )H, integerLDH, complex, dimension( * )W, integerILOZ, integerIHIZ,…
claqr3.f – SynopsisFunctions/Subroutinessubroutine claqr3 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SH, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK) CLAQR3 performs the unitary similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation). Function/Subroutine…
claqr2.f – SynopsisFunctions/Subroutinessubroutine claqr2 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SH, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK) CLAQR2 performs the unitary similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation). Function/Subroutine…
claqr1.f – SynopsisFunctions/Subroutinessubroutine claqr1 (N, H, LDH, S1, S2, V) CLAQR1 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 claqr1 (integerN, complex, dimension( ldh, * )H, integerLDH, complexS1, complexS2, complex, dimension( * )V)CLAQR1 sets a scalar multiple of the first column…