Eigenvalue inclusion sets for linear response eigenvalue problems

Abstract

In this article, some inclusion sets for eigenvalues of a matrix in the linear response eigenvalue problem (LREP) are established. It is proved that the inclusion sets are tighter than the Geršgorin-type sets. A numerical experiment shows the effectiveness of our new results.

Keywords

• linear response eigenvalue problem
• geršgorin-type sets
• localization set
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