A New Algorithm for Solving Large-Scale Generalized Eigenvalue Problem Based on Projection Methods
Joint Authors
Nedamani, F. Abbasi
Sheikhani, A. H. Refahi
Najafi, H. Saberi
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-14
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Nedamani, F. Abbasi& Sheikhani, A. H. Refahi& Najafi, H. Saberi. 2020. A New Algorithm for Solving Large-Scale Generalized Eigenvalue Problem Based on Projection Methods. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1201869
Modern Language Association (MLA)
Nedamani, F. Abbasi…[et al.]. A New Algorithm for Solving Large-Scale Generalized Eigenvalue Problem Based on Projection Methods. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1201869
American Medical Association (AMA)
Nedamani, F. Abbasi& Sheikhani, A. H. Refahi& Najafi, H. Saberi. A New Algorithm for Solving Large-Scale Generalized Eigenvalue Problem Based on Projection Methods. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1201869
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201869