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Bounds for the greatest characteristic root of an irreducible nonnegative matrix II

โœ Scribed by Alfred Brauer; Ivey C. Gentry


Book ID
107824737
Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
266 KB
Volume
13
Category
Article
ISSN
0024-3795

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Bounds for the greatest characteristic r
โœ Shu-Lin Liu ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 446 KB

New bounds for the greatest characteristic root of a nonnegative matrix are obtained. They generalize and improve the bounds of G. Frobenius and H. Mint. 1. INTRODUCTION Let .4 = (u,~> be a nonnegative matrix of order n, and rr, r2,. . . , rn its row sums. The following results of Frobenius [I] are