NAME slaed2.f – SYNOPSIS Functions/Subroutines subroutine slaed2 (K, N, N1, D, Q, LDQ, INDXQ, RHO, Z, DLAMDA, W, Q2, INDX, INDXC, INDXP, COLTYP, INFO) SLAED2 used by sstedc. Merges eigenvalues and deflates secular equation. Used when the original matrix is tridiagonal. Function/Subroutine Documentation subroutine slaed2 (integerK, integerN, integerN1, real, dimension( * )D, real, dimension( ldq,…
NAME slaed1.f – SYNOPSIS Functions/Subroutines subroutine slaed1 (N, D, Q, LDQ, INDXQ, RHO, CUTPNT, WORK, IWORK, INFO) SLAED1 used by sstedc. Computes the updated eigensystem of a diagonal matrix after modification by a rank-one symmetric matrix. Used when the original matrix is tridiagonal. Function/Subroutine Documentation subroutine slaed1 (integerN, real, dimension( * )D, real, dimension( ldq,…
NAME slaed0.f – SYNOPSIS Functions/Subroutines subroutine slaed0 (ICOMPQ, QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS, WORK, IWORK, INFO) SLAED0 used by sstedc. Computes all eigenvalues and corresponding eigenvectors of an unreduced symmetric tridiagonal matrix using the divide and conquer method. Function/Subroutine Documentation subroutine slaed0 (integerICOMPQ, integerQSIZ, integerN, real, dimension( * )D, real, dimension( *…
NAME slaebz.f – SYNOPSIS Functions/Subroutines subroutine slaebz (IJOB, NITMAX, N, MMAX, MINP, NBMIN, ABSTOL, RELTOL, PIVMIN, D, E, E2, NVAL, AB, C, MOUT, NAB, WORK, IWORK, INFO) SLAEBZ computes the number of eigenvalues of a real symmetric tridiagonal matrix which are less than or equal to a given value, and performs other tasks required by…
NAME slae2.f – SYNOPSIS Functions/Subroutines subroutine slae2 (A, B, C, RT1, RT2) SLAE2 computes the eigenvalues of a 2-by-2 symmetric matrix. Function/Subroutine Documentation subroutine slae2 (realA, realB, realC, realRT1, realRT2) SLAE2 computes the eigenvalues of a 2-by-2 symmetric matrix. Purpose: SLAE2 computes the eigenvalues of a 2 – by – 2 symmetric matrix[A B][B C].On…
NAME sladiv.f – SYNOPSIS Functions/Subroutines subroutine sladiv (A, B, C, D, P, Q) SLADIV performs complex division in real arithmetic, avoiding unnecessary overflow. subroutine sladiv1 (A, B, C, D, P, Q) REAL function sladiv2 (A, B, C, D, R, T) Function/Subroutine Documentation subroutine sladiv (realA, realB, realC, realD, realP, realQ) SLADIV performs complex division in…
NAME slacpy.f – SYNOPSIS Functions/Subroutines subroutine slacpy (UPLO, M, N, A, LDA, B, LDB) SLACPY copies all or part of one two-dimensional array to another. Function/Subroutine Documentation subroutine slacpy (characterUPLO, integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB) SLACPY copies all or part of one two-dimensional array to another….
NAME slacon.f – SYNOPSIS Functions/Subroutines subroutine slacon (N, V, X, ISGN, EST, KASE) SLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. Function/Subroutine Documentation subroutine slacon (integerN, real, dimension( * )V, real, dimension( * )X, integer, dimension( * )ISGN, realEST, integerKASE) SLACON estimates the 1-norm of a square matrix,…
NAME slacn2.f – SYNOPSIS Functions/Subroutines subroutine slacn2 (N, V, X, ISGN, EST, KASE, ISAVE) SLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. Function/Subroutine Documentation subroutine slacn2 (integerN, real, dimension( * )V, real, dimension( * )X, integer, dimension( * )ISGN, realEST, integerKASE, integer, dimension( 3 )ISAVE) SLACN2 estimates the…
NAME slabrd.f – SYNOPSIS Functions/Subroutines subroutine slabrd (M, N, NB, A, LDA, D, E, TAUQ, TAUP, X, LDX, Y, LDY) SLABRD reduces the first nb rows and columns of a general matrix to a bidiagonal form. Function/Subroutine Documentation subroutine slabrd (integerM, integerN, integerNB, real, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension(…
NAME slabad.f – SYNOPSIS Functions/Subroutines subroutine slabad (SMALL, LARGE) SLABAD Function/Subroutine Documentation subroutine slabad (realSMALL, realLARGE) SLABAD Purpose: SLABAD takes as input the values computed by SLAMCH for underflow and overflow, and returns the square root of each of these values if the log of LARGE is sufficiently large. This subroutine is intended to identify…
NAME sisnan.f – SYNOPSIS Functions/Subroutines LOGICAL function sisnan (SIN) SISNAN tests input for NaN. Function/Subroutine Documentation LOGICAL function sisnan (realSIN) SISNAN tests input for NaN. Purpose: SISNAN returns .TRUE. if its argument is NaN, and .FALSE. otherwise. To be replaced by the Fortran 2003 intrinsic in the future. Parameters: SIN SIN is REAL Input…
NAME shseqr.f – SYNOPSIS Functions/Subroutines subroutine shseqr (JOB, COMPZ, N, ILO, IHI, H, LDH, WR, WI, Z, LDZ, WORK, LWORK, INFO) SHSEQR Function/Subroutine Documentation subroutine shseqr (characterJOB, characterCOMPZ, integerN, integerILO, integerIHI, real, dimension( ldh, * )H, integerLDH, real, dimension( * )WR, real, dimension( * )WI, real, dimension( ldz, * )Z, integerLDZ, real, dimension( * )WORK,…
NAME shsein.f – SYNOPSIS Functions/Subroutines subroutine shsein (SIDE, EIGSRC, INITV, SELECT, N, H, LDH, WR, WI, VL, LDVL, VR, LDVR, MM, M, WORK, IFAILL, IFAILR, INFO) SHSEIN Function/Subroutine Documentation subroutine shsein (characterSIDE, characterEIGSRC, characterINITV, logical, dimension( * )SELECT, integerN, real, dimension( ldh, * )H, integerLDH, real, dimension( * )WR, real, dimension( * )WI, real, dimension(…
NAME shgeqz.f – SYNOPSIS Functions/Subroutines subroutine shgeqz (JOB, COMPQ, COMPZ, N, ILO, IHI, H, LDH, T, LDT, ALPHAR, ALPHAI, BETA, Q, LDQ, Z, LDZ, WORK, LWORK, INFO) SHGEQZ Function/Subroutine Documentation subroutine shgeqz (characterJOB, characterCOMPQ, characterCOMPZ, integerN, integerILO, integerIHI, real, dimension( ldh, * )H, integerLDH, real, dimension( ldt, * )T, integerLDT, real, dimension( * )ALPHAR, real,…
QuantLib::Singapore – Singapore calendars Synopsis #include <ql/time/calendars/singapore.hpp> Inherits QuantLib::Calendar. Public Types enum Market { SGX } Public Member Functions Singapore (Market m=SGX) Detailed Description Singapore calendars Holidays for the Singapore exchange (data from <http://www.ses.com.sg>): * Saturdays * Sundays * New Year’s day, January 1st * Good Friday * Labour Day, May 1st * National Day,…
NAME sgtts2.f – SYNOPSIS Functions/Subroutines subroutine sgtts2 (ITRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB) SGTTS2 solves a system of linear equations with a tridiagonal matrix using the LU factorization computed by sgttrf. Function/Subroutine Documentation subroutine sgtts2 (integerITRANS, integerN, integerNRHS, real, dimension( * )DL, real, dimension( * )D, real, dimension( * )DU, real,…
NAME sgttrs.f – SYNOPSIS Functions/Subroutines subroutine sgttrs (TRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB, INFO) SGTTRS Function/Subroutine Documentation subroutine sgttrs (characterTRANS, integerN, integerNRHS, real, dimension( * )DL, real, dimension( * )D, real, dimension( * )DU, real, dimension( * )DU2, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB, integerINFO) SGTTRS Purpose:…
NAME sgttrf.f – SYNOPSIS Functions/Subroutines subroutine sgttrf (N, DL, D, DU, DU2, IPIV, INFO) SGTTRF Function/Subroutine Documentation subroutine sgttrf (integerN, real, dimension( * )DL, real, dimension( * )D, real, dimension( * )DU, real, dimension( * )DU2, integer, dimension( * )IPIV, integerINFO) SGTTRF Purpose: SGTTRF computes an LU factorization of a real tridiagonal matrix A using…
sgtsvx.f – Synopsis Functions/Subroutines subroutine sgtsvx (FACT, TRANS, N, NRHS, DL, D, DU, DLF, DF, DUF, DU2, IPIV, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) SGTSVX computes the solution to system of linear equations A * X = B for GT matrices Function/Subroutine Documentation subroutine sgtsvx (characterFACT, characterTRANS, integerN, integerNRHS, real, dimension(…