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Perron root bounding for nonnegative persymmetric matrices

✍ Scribed by O. Rojo; R. Soto

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
334 KB
Volume
31
Category
Article
ISSN
0898-1221

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✦ Synopsis

The eigenvalue problem for a symmetric persymmetric matrix can be reduced to two symmetric eigenvalue problems of lower order. In this paper, we find in which of these problems the Perron root of a nonnegative symmetric persymmetric matrix lies. This is applied to bound the Perron root of such class of matrices.

πŸ“œ SIMILAR VOLUMES

The lower and upper bounds on Perron roo
The lower and upper bounds on Perron root of nonnegative irreducible matrices
✍ Guang-Xin Huang; Feng Yin; Ke Guo πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 155 KB

Let A be an n Γ— 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