An improvement on Ky Fan's theorem of matrix eigenvalues

✍ Scribed by Luoluo Li

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 314 KB
• Volume: 279
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(98)00010-x

✦ Synopsis

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.