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Eigenvalue bounds for symmetric matrices with entries in one interval

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  • Leng, Huinan
  • He, Zhiqing

Abstract

In this paper, we consider the eigenvalue bounds for real symmetric matrices whose entries are in a given interval. Based on some matrix computation theories, a new algorithm and some theorems are presented which provide ways for solving the left problems in former papers and obtain satisfying results. Furthermore, the ideas are spread to general symmetric interval matrices. Finally, numerical examples are presented which show the validity of the proposed methods.

Suggested Citation

  • Leng, Huinan & He, Zhiqing, 2017. "Eigenvalue bounds for symmetric matrices with entries in one interval," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 58-65.
    • Handle: RePEc:eee:apmaco:v:299:y:2017:i:c:p:58-65
    DOI: 10.1016/j.amc.2016.11.035
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    References listed on IDEAS

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    1. Leng, Huinan, 2014. "Real eigenvalue bounds of standard and generalized real interval eigenvalue problems," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 164-171.
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