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An Upper Bound for the Real Part of Nonmaximal Eigenvalues of Nonnegative Irreducible Matrices

✍ Scribed by Friedland, Shmuel; Gurvits, Leonid

Book ID
118212647
Publisher
Society for Industrial and Applied Mathematics
Year
1994
Tongue
English
Weight
247 KB
Volume
15
Category
Article
ISSN
0895-4798

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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