Affiliation:
1. College of Mathematics, Physics and Data Science, Chongqing University of Science and Technology, Chongqing 401331, China
Abstract
The distribution of eigenvalues and the upper bounds for the spread of interval matrices are significant in various fields of mathematics and applied sciences, including linear algebra, numerical analysis, control theory, and combinatorial optimization. We present the distribution of eigenvalues within interval matrices and determine upper bounds for their spread using Geršgorin’s theorem. Specifically, through an equality for the variance of a discrete random variable, we derive upper bounds for the spread of symmetric interval matrices. Finally, we give three numerical examples to illustrate the effectiveness of our results.
Funder
Science and Technology Research Program of Chongqing Municipal Education Commission
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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