LAPACK  3.7.0
LAPACK: Linear Algebra PACKage

◆ zhb2st_kernels()

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

Download ZHB2ST_KERNELS + dependencies [TGZ] [ZIP] [TXT]

Purpose:
 ZHB2ST_KERNELS is an internal routine used by the ZHETRD_HB2ST
 subroutine.
Parameters
[in]nThe order of the matrix A.
[in]nbThe size of the band.
[in,out]AA pointer to the matrix A.
[in]ldaThe leading dimension of the matrix A.
[out]VCOMPLEX*16 array, dimension 2*n if eigenvalues only are requested or to be queried for vectors.
[out]TAUCOMPLEX*16 array, dimension (2*n). The scalar factors of the Householder reflectors are stored in this array.
[in]stinternal parameter for indices.
[in]edinternal parameter for indices.
[in]sweepinternal parameter for indices.
[in]Vblksizinternal parameter for indices.
[in]wantzlogical which indicate if Eigenvalue are requested or both Eigenvalue/Eigenvectors.
[in]workWorkspace 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