SRC/zhb2st_kernels.f(3)    Library Functions Manual    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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LAPACK                          Version 3.12.0         SRC/zhb2st_kernels.f(3)