BOUNDS FOR THE EIGENVALUES OF MATRICES

Authors

  • Limin Zou Chongqing Three Gorges University - School of Mathematics and Statistics
  • Youyi Jiang Chongqing Three Gorges University - School of Mathematics and Statistics

Keywords:

eigenvalues, Frobenius norm, trace, disk

Abstract

In this paper, we prove that all the eigenvalues of arbitrarily complex matrix lies in a closed disk with the radius involving the sum of the squares of the absolute values of the eigenvalues.  So, any known upper bound on this sum of squares yields a ”new” eigenvalues inclusion region.  As applications, some existing results are obtained or improved.

Cover of n°32 Italian Journal of Pure and Applied Mathematics

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Published

2014-08-22

How to Cite

Zou, L., & Jiang, Y. (2014). BOUNDS FOR THE EIGENVALUES OF MATRICES. Italian Journal of Pure and Applied Mathematics, 32, 519–524. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6177

Issue

N°32 - August 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 Limin Zou, Youyi Jiang

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)