DSB2ST_KERNELS is an internal routine used by the DSYTRD_SB2ST


 subroutine.

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 DOUBLE PRECISION array. A pointer to the matrix A.

LDA

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

V

          V is DOUBLE PRECISION array, dimension 2*n if eigenvalues only are


          requested or to be queried for vectors.

TAU

          TAU is DOUBLE PRECISION array, dimension (2*n).


          The scalar factors of the Householder reflectors are stored


          in this array.

LDVT

          LDVT is INTEGER.

WORK

          WORK is DOUBLE PRECISION array. Workspace of size nb.

  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