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Numerical Eigenvalue Bounds.

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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]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
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PubType: Academic Journal
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  Data: Numerical Eigenvalue Bounds.
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  Data: <searchLink fieldCode="AR" term="%22Singh%2C+Pravin%22">Singh, Pravin</searchLink><relatesTo>1</relatesTo><i> singhp@ukzn.ac.za</i><br /><searchLink fieldCode="AR" term="%22Singh%2C+Shivani%22">Singh, Shivani</searchLink><relatesTo>2</relatesTo><i> singhs2@unisa.ac.za</i><br /><searchLink fieldCode="AR" term="%22Singh%2C+Virath%22">Singh, Virath</searchLink><relatesTo>3</relatesTo><i> singhv@ukzn.ac.za</i>
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jun2025, Vol. 55 Issue 6, p1555-1561. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Eigenvectors%22">Eigenvectors</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenvalues%22">Eigenvalues</searchLink><br /><searchLink fieldCode="DE" term="%22Symmetric+matrices%22">Symmetric matrices</searchLink>
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  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 7
        StartPage: 1555
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      – SubjectFull: Eigenvectors
        Type: general
      – SubjectFull: Eigenvalues
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      – SubjectFull: Symmetric matrices
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      – TitleFull: Numerical Eigenvalue Bounds.
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            NameFull: Singh, Pravin
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            NameFull: Singh, Shivani
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            NameFull: Singh, Virath
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            – D: 01
              M: 06
              Text: Jun2025
              Type: published
              Y: 2025
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