This program sets problem and machine dependent parameters


      useful for xHETRD_2STAGE, xHETRD_HE2HB, xHETRD_HB2ST,


      xGEBRD_2STAGE, xGEBRD_GE2GB, xGEBRD_GB2BD 


      and related subroutines for eigenvalue problems. 


      It is called whenever ILAENV is called with 17 <= ISPEC <= 21.


      It is called whenever ILAENV2STAGE is called with 1 <= ISPEC <= 5


      with a direct conversion ISPEC + 16.

ISPEC

          ISPEC is integer scalar


              ISPEC specifies which tunable parameter IPARAM2STAGE should


              return.


              ISPEC=17: the optimal blocksize nb for the reduction to


                        BAND


              ISPEC=18: the optimal blocksize ib for the eigenvectors


                        singular vectors update routine


              ISPEC=19: The length of the array that store the Housholder 


                        representation for the second stage 


                        Band to Tridiagonal or Bidiagonal


              ISPEC=20: The workspace needed for the routine in input.


              ISPEC=21: For future release.

NAME

          NAME is character string


               Name of the calling subroutine

OPTS

          OPTS is CHARACTER*(*)


          The character options to the subroutine NAME, concatenated


          into a single character string.  For example, UPLO = 'U',


          TRANS = 'T', and DIAG = 'N' for a triangular routine would


          be specified as OPTS = 'UTN'.

NI

          NI is INTEGER which is the size of the matrix

NBI

          NBI is INTEGER which is the used in the reduciton, 


          (e.g., the size of the band), needed to compute workspace


          and LHOUS2.

IBI

          IBI is INTEGER which represent the IB of the reduciton,


          needed to compute workspace and LHOUS2.

NXI

          NXI is INTEGER needed in the future release.

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

June 2016

  Implemented by Azzam Haidar.


  All detail 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