Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Fang Su, Zhan Xu, Lizhi Cheng and Shengguo Li
Pages: [197] - [207]
Received Date: May 11, 2010
Submitted by:
In this paper, we present several verifiable conditions for eigenvalue intervals of real symmetric interval matrices overlapping or not overlapping. To above cases, two new methods with algorithms for computing eigenvalue bounds of real symmetric matrices are developed. We can estimate eigenvalue bounds moving away the assumption that two intervals containing two eigenvalues of real symmetric interval matrices are not overlapping. These methods can analyse stability of systems in control fields extensively. Numerical examples illustrating the applicability and effectiveness of the new methods are also provided.
interval matrix, eigenvalue bounds, real symmetric matrices, eigenvalue interval overlapping, Weyl’s theorem.
