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

Civil Engineering

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