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A Method for the Computation of the Greatest Root of a Positive Matrix

โœ Scribed by Brauer, Alfred


Book ID
118196275
Publisher
Society for Industrial and Applied Mathematics
Year
1957
Weight
337 KB
Volume
5
Category
Article
ISSN
0368-4245

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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