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A simplified Brauer’s theorem on matrix eigenvalues

✍ Scribed by Luoluo Li

Book ID
107502177
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
1999
Tongue
English
Weight
261 KB
Volume
14
Category
Article
ISSN
1005-1031

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Let A E M,,. In terms of Perron roots and Perron vectors of two positive (or irreducible nonnegative) matrices that dominate principal submatrices A [ 1. . k] and A [k + 1, , n], respectively, we present an improvement on Ky Fan-s theorem of matrix eigenvalues.