LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ 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]UPLO
!>          UPLO is CHARACTER*1
!> 
[in]WANTZ
!>          WANTZ is LOGICAL which indicate if Eigenvalue are requested or both
!>          Eigenvalue/Eigenvectors.
!> 
[in]TTYPE
!>          TTYPE is INTEGER
!> 
[in]ST
!>          ST is INTEGER
!>          internal parameter for indices.
!> 
[in]ED
!>          ED is INTEGER
!>          internal parameter for indices.
!> 
[in]SWEEP
!>          SWEEP is INTEGER
!>          internal parameter for indices.
!> 
[in]N
!>          N is INTEGER. The order of the matrix A.
!> 
[in]NB
!>          NB is INTEGER. The size of the band.
!> 
[in]IB
!>          IB is INTEGER.
!> 
[in,out]A
!>          A is COMPLEX*16 array. A pointer to the matrix A.
!> 
[in]LDA
!>          LDA is INTEGER. The leading dimension of the matrix A.
!> 
[out]V
!>          V is COMPLEX*16 array, dimension 2*n if eigenvalues only are
!>          requested or to be queried for vectors.
!> 
[out]TAU
!>          TAU is COMPLEX*16 array, dimension (2*n).
!>          The scalar factors of the Householder reflectors are stored
!>          in this array.
!> 
[in]LDVT
!>          LDVT is INTEGER.
!> 
[out]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
!>
!>