Reduced Conservatism of Eigenvalue Estimation

Yau Tarng Juang

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Abstract

This note provides new techniques to give simple estimates of the eigenvalues of a matrix. In some cases the new results, Theorems 1 and 2, improve those obtained by Gershgorin's theorem. The additional use of Theorems 3 and 4, give less conservative estimates than those using Gershgorin's theorem alone.

Original languageEnglish
Pages (from-to)992-994
Number of pages3
JournalIEEE Transactions on Automatic Control
Volume34
Issue number9
DOIs
StatePublished - Sep 1989

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