Computing bounds to real eigenvalues of real‐interval matrices

Huinan Leng, Zhiqing He, Quan Yuan · International Journal for Numerical Methods in Engineering · 2007

Abstract In this study, a new method with algorithms for computing bounds to real eigenvalues of real‐interval matrices is developed. The algorithms are based on the properties of continuous functions. The method can provide the tightest eigenvalue bounds and improve some former research results. Numerical examples illustrate the applicability and effectiveness of the new method. Copyright © 2007 John Wiley & Sons, Ltd.

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