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

DOI10.14495/jsiaml.10.77OpenAlexW2905696827MaRDI QIDQ3121430

Takahiro Yano, Akira Imakura, Yasunori Futamura, Tetsuya Sakurai

Publication date: 18 March 2019

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14495/jsiaml.10.77

zbMATH Keywords

generalized eigenvalue problemdistributed computingdense matrixcontour integral methodblock Krylov subspace method

Mathematics Subject Classification ID

Numerical analysis (65-XX) Computer science (68-XX)

Related Items (1)

Projection Method for Eigenvalue Problems of Linear Nonsquare Matrix Pencils

Uses Software

• ELPA

Cites Work

• Contour integral eigensolver for non-Hermitian systems: a Rayleigh-Ritz-type approach
• A projection method for generalized eigenvalue problems using numerical integration.
• Block conjugate gradient type methods for the approximation of bilinear form \(C^HA^{-1}B\)
• Parallel stochastic estimation method of eigenvalue distribution
• Error bounds of Rayleigh-Ritz type contour integral-based eigensolver for solving generalized eigenvalue problems

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