SRC/chb2st_kernels.f(3)    Library Functions Manual    SRC/chb2st_kernels.f(3)

NAME
       SRC/chb2st_kernels.f

SYNOPSIS
   Functions/Subroutines
       subroutine chb2st_kernels (uplo, wantz, ttype, st, ed, sweep, n, nb,
           ib, a, lda, v, tau, ldvt, work)
           CHB2ST_KERNELS

Function/Subroutine Documentation
   subroutine chb2st_kernels (character uplo, logical wantz, integer ttype,
       integer st, integer ed, integer sweep, integer n, integer nb, integer
       ib, complex, dimension( lda, * ) a, integer lda, complex, dimension( *
       ) v, complex, dimension( * ) tau, integer ldvt, complex, dimension( * )
       work)
       CHB2ST_KERNELS

       Purpose:


            CHB2ST_KERNELS is an internal routine used by the CHETRD_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 array. A pointer to the matrix A.

           LDA

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

           V

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

           TAU

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

           LDVT

                     LDVT is INTEGER.

           WORK

                     WORK is COMPLEX 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 chb2st_kernels.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0         SRC/chb2st_kernels.f(3)