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An improvement of Ky Fan theorem for matrix eigenvalues

✍ Scribed by Hou-Biao Li; Ting-Zhu Huang

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
622 KB
Volume
49
Category
Article
ISSN
0898-1221

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πŸ“œ SIMILAR VOLUMES

An improvement on Ky Fan's theorem of ma
An improvement on Ky Fan's theorem of matrix eigenvalues
✍ Luoluo Li πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 314 KB

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.

Wielandt and Ky-Fan theorem for matrix p
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The generalization of Wielandt and Ky-Fan theorem is given for Hermitian matrix pairs, and some new eigenvalue perturbation estimates are obtained. An application is made on a class of quadratic matrix pencils.

Stability of solutions for Ky Fan's sect
Stability of solutions for Ky Fan's section theorem with some applications
✍ Yong-hui Zhou; Shu-wen Xiang; Hui Yang πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 199 KB

In this paper, we prove that "most of" problems in Ky Fan's section theorem (in the sense of Baire category) are essential and that for any problem in Ky Fan's section theorem, there exists at least one essential component of its solution set. As applications, we deduce both the existence of essenti