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Real eigenvalue bounds of standard and generalized real interval eigenvalue problems

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  • Leng, Huinan

Abstract

In this paper, we study the real eigenvalue bounds of standard and generalized real interval eigenvalue problems. Based on some known sufficient conditions for the regularity of interval matrices, a new algorithm for computing real eigenvalue bounds for real interval matrices is proposed. It can easily be extended for applying to generalized real interval eigenvalue problems. One advantage of the method is that the computation procedure takes less time than former methods we have proposed. Therefore it can be applied for solving larger interval eigenvalue problems. Finally, some numerical examples are presented which show the effectiveness of the method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:164-171
    DOI: 10.1016/j.amc.2014.01.070
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    Cited by:

    1. Huang, Youqin, 2018. "An interval algorithm for uncertain dynamic stability analysis," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 567-587.
    2. 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.
    3. Roy, Falguni & K. Gupta, Dharmendra., 2018. "Sufficient regularity conditions for complex interval matrices and approximations of eigenvalues sets," Applied Mathematics and Computation, Elsevier, vol. 317(C), pages 193-209.

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