SRC/zhb2st_kernels.f(3)

NAME
SRC/zhb2st_kernels.f

SYNOPSIS

  Functions/Subroutines
subroutine zhb2st_kernels (uplo, wantz, ttype, st, ed, sweep, n, nb, ib, a, lda, v, tau, ldvt, work)
ZHB2ST_KERNELS

Function/Subroutine Documentation

  subroutine zhb2st_kernels (character uplo, logical wantz, integer ttype, integer st, integer ed, integer sweep, integer n, integer nb, integer ib, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) v, complex*16, dimension( * ) tau, integer ldvt, complex*16, dimension( * ) work)

ZHB2ST_KERNELS

Purpose:

     ZHB2ST_KERNELS is an internal routine used by the ZHETRD_HB2ST
     subroutine.

Parameters
    UPLO

              UPLO is CHARACTER*1

    WANTZ

              WANTZ is LOGICAL which indicate if Eigenvalue are requested or both
              Eigenvalue/Eigenvectors.

    TTYPE

              TTYPE is INTEGER

    ST

              ST is INTEGER
              internal parameter for indices.

    ED

              ED is INTEGER
              internal parameter for indices.

    SWEEP

              SWEEP is INTEGER
              internal parameter for indices.

    N

              N is INTEGER. The order of the matrix A.

    NB

              NB is INTEGER. The size of the band.

    IB

              IB is INTEGER.

    A

              A is COMPLEX*16 array. A pointer to the matrix A.

    LDA

              LDA is INTEGER. The leading dimension of the matrix A.

    V

              V is COMPLEX*16 array, dimension 2*n if eigenvalues only are
              requested or to be queried for vectors.

    TAU

              TAU is COMPLEX*16 array, dimension (2*n).
              The scalar factors of the Householder reflectors are stored
              in this array.

    LDVT

              LDVT is INTEGER.

    WORK

              WORK is COMPLEX*16 array. Workspace of size nb.

Further Details:

      Implemented by Azzam Haidar.
      All details are available on technical report, SC11, SC13 papers.
      Azzam Haidar, Hatem Ltaief, and Jack Dongarra.
      Parallel reduction to condensed forms for symmetric eigenvalue problems
      using aggregated fine-grained and memory-aware kernels. In Proceedings
      of 2011 International Conference for High Performance Computing,
      Networking, Storage and Analysis (SC '11), New York, NY, USA,
      Article 8 , 11 pages.
      http://doi.acm.org/10.1145/2063384.2063394
      A. Haidar, J. Kurzak, P. Luszczek, 2013.
      An improved parallel singular value algorithm and its implementation
      for multicore hardware, In Proceedings of 2013 International Conference
      for High Performance Computing, Networking, Storage and Analysis (SC '13).
      Denver, Colorado, USA, 2013.
      Article 90, 12 pages.
      http://doi.acm.org/10.1145/2503210.2503292
      A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra.
      A novel hybrid CPU-GPU generalized eigensolver for electronic structure
      calculations based on fine-grained memory aware tasks.
      International Journal of High Performance Computing Applications.
      Volume 28 Issue 2, Pages 196-209, May 2014.
      http://hpc.sagepub.com/content/28/2/196

Definition at line 169 of file zhb2st_kernels.f.

Author

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