TY  - JOUR
A1  - Gutheil, Inge
A1  - Berg, Tommy
A1  - Grotendorst, Johannes
T1  - Performance Analysis of Parallel Eigensolvers of two Libraries on BlueGene/P
JF  - Journal of Mathematics and Systems Science
N2  - Many applications in computational science and engineering require the computation of eigenvalues and vectors of dense symmetric or Hermitian matrices. For example, in DFT (density functional theory) calculations on modern supercomputers 10% to 30% of the eigenvalues and eigenvectors of huge dense matrices have to be calculated. Therefore, performance and parallel scaling of the used eigensolvers is of upmost interest. In this article different routines of the linear algebra packages ScaLAPACK and Elemental for parallel solution of the symmetric eigenvalue problem are compared concerning their performance on the BlueGene/P supercomputer. Parameters for performance optimization are adjusted for the different data distribution methods used in the two libraries. It is found that for all test cases the new library Elemental which uses a two-dimensional element by element distribution of the matrices to the processors shows better performance than the old ScaLAPACK library which uses a block-cyclic distribution.
KW  - performance analysis
KW  - Elemental
KW  - ScaLAPACK
KW  - eigensolvers
KW  - Numerical linear algebra
Y1  - 2012
U6  - http://dx.doi.org/10.17265/2159-5291/2012.04.003
SN  - 2159-5291
VL  - 2
IS  - 4
SP  - 231
EP  - 236
PB  - David Publishing
CY  - Libertyville
ER  -