A sequence of upper bounds for the Perron root of a nonnegative matrix
✍ Scribed by Dursun Taşçi; Steve Kirkland
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 232 KB
- Volume
- 273
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
Let A be an n × n nonnegative irreducible matrix, let A[ ] be the principal submatrix of A based on the nonempty ordered subset of {1, 2, . . . , n}, and define the generalized Perron complement of A[ ] by P t (A/A[ ]), i.e., This paper gives the upper and lower bounds on the Perron root of A. An u
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