A new algorithm for solving large-scale generalized eigenvalue problem based on projection methods
type: Item
instance of: scholarly article
title: A new algorithm for solving large-scale generalized eigenvalue problem based on projection methods
zbMATH Open document ID: 1459.65050
DOI: 10.1155/2020/8895856
author: N. E. Zubov
published in: Mathematical Problems in Engineering
publication date: 2021-01-04T00:00:00Z
review text: Summary: In this paper, we consider four methods for determining certain eigenvalues and corresponding eigenvectors of large-scale generalized eigenvalue problems which are located in a certain region. In these methods, a small pencil that contains only the desired eigenvalue is derived using moments that have obtained via numerical integration. Our purpose is to improve the numerical stability of the moment-based method and compare its stability with three other methods. Numerical examples show that the block version of the moment-based (SS) method with the Rayleigh-Ritz procedure has higher numerical stability than respect to other methods.
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F08
zbMATH DE Number: 7290117
describes a project that uses: CIRR
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/8895856
OpenAlex ID: W3111027536
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description: scientific article; zbMATH DE number 7290117