Verified Error Bounds for Real Eigenvalues of Real Symmetric and Persymmetric Matrices

Joint Authors

Li, Zhe
Wang, Xueqing

Source

Mathematical Problems in Engineering

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-12-21

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Civil Engineering

Abstract EN

This paper mainly investigates the verification of real eigenvalues of the real symmetric and persymmetric matrices.

For a real symmetric or persymmetric matrix, we use eig code in Matlab to obtain its real eigenvalues on the basis of numerical computation and provide an algorithm to compute verified error bound such that there exists a perturbation matrix of the same type within the computed error bound whose exact real eigenvalues are the computed real eigenvalues.

American Psychological Association (APA)

Li, Zhe& Wang, Xueqing. 2020. Verified Error Bounds for Real Eigenvalues of Real Symmetric and Persymmetric Matrices. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1202095

Modern Language Association (MLA)

Li, Zhe& Wang, Xueqing. Verified Error Bounds for Real Eigenvalues of Real Symmetric and Persymmetric Matrices. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1202095

American Medical Association (AMA)

Li, Zhe& Wang, Xueqing. Verified Error Bounds for Real Eigenvalues of Real Symmetric and Persymmetric Matrices. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1202095

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1202095