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Wielandt and Ky-Fan theorem for matrix pairs

✍ Scribed by Ivica Nakić; Krešimir Veselić

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
173 KB
Volume
369
Category
Article
ISSN
0024-3795

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

An improvement on Ky Fan's theorem of ma
An improvement on Ky Fan's theorem of matrix eigenvalues
✍ Luoluo Li 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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.