Numerical Eigenvalue Bounds.

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Bibliographic Details
Title: Numerical Eigenvalue Bounds.
Authors: Singh, Pravin1 singhp@ukzn.ac.za, Singh, Shivani2 singhs2@unisa.ac.za, Singh, Virath3 singhv@ukzn.ac.za
Source: IAENG International Journal of Applied Mathematics. Jun2025, Vol. 55 Issue 6, p1555-1561. 7p.
Subjects: Eigenvectors, Eigenvalues, Symmetric matrices
Abstract: In this paper, we derive expressions for bounding intervals of the eigenvalues of real symmetric matrices. These bounds are relatively good provided approximations to the eigenvectors are known. We show how the problem is reduced to that of finding the spectrum of matrices of order two. We also prove the existence of a non optimal vector parameter. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:In this paper, we derive expressions for bounding intervals of the eigenvalues of real symmetric matrices. These bounds are relatively good provided approximations to the eigenvectors are known. We show how the problem is reduced to that of finding the spectrum of matrices of order two. We also prove the existence of a non optimal vector parameter. [ABSTRACT FROM AUTHOR]
ISSN:19929978