Real eigenvalue bounds of standard and generalized real interval eigenvalue problems

Huinan Leng

Applied Mathematics and Computation, 2014, vol. 232, issue C, 164-171

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.

Keywords: Eigenvalue bounds; Standard interval eigenvalue problem; Generalized interval eigenvalue problem; Regularity (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:164-171

DOI: 10.1016/j.amc.2014.01.070

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