Performance evaluation of the Sakurai-Sugiura method with a block Krylov subspace linear solver for large dense Hermitian-definite generalized eigenvalue problems-Reference-Cited by-同舟云学术

Performance evaluation of the Sakurai-Sugiura method with a block Krylov subspace linear solver for large dense Hermitian-definite generalized eigenvalue problems

Published:2018 Issue:0 Volume:10 Page:77-80
ISSN:1883-0609
Container-title:JSIAM Letters
language:en
Short-container-title:JSIAM Letters

Author:

Yano Takahiro¹,Futamura Yasunori¹,Imakura Akira¹,Sakurai Tetsuya¹

Affiliation:

1. Department of Computer Science, University of Tsukuba

Publisher

The Japan Society for Industrial and Applied Mathematics

Link

https://www.jstage.jst.go.jp/article/jsiaml/10/0/10_77/_pdf

Reference9 articles.

1. 1) T. Sakurai and H. Sugiura, A projection method for generalized eigenvalue problems using numerical integration, J. Comput. Appl. Math., 159 (2003), 119-128.

2. 2) T. Ikegami and T. Sakurai, Contour integral eigensolver for non-Hermitian systems: a Rayleigh-Ritz-type approach, Taiwanese J. Math., 14 (2010), 825-837.

3. 3) A. Marek, V. Blum, R. Johanni, V. Havu, B. Lang, T. Auckenthaler, A. Heinecke, H.-J. Bungartz and H. Lederer, The ELPA library - scalable parallel eigenvalue solutions for electronic structure theory and computational science, J. Phys.: Condens. Matter, 26 (2014), 213201.

4. 4) EigenExa EigenExa, , http://www.r-ccs.riken.jp/labs/lpnctrt/en/projects/eigenexa/.

5. 5) T. Yano, Y. Futamura and T. Sakurai, Multi-GPU scalable implementation of a contour-integral-based eigensolver for real symmetric dense generalized eigenvalue problems, in: Proc. 3PGCIC 2013, pp. 121-127, IEEE Computer Society, 2013.

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