We investigate an old suggestion of A.E. Brouwer we call decomposition, for constructing a class of permanental upper bounds for nonnegative matrices A from a single permanental upper bound u(B) for (0, 1)-matrices B. For certain feasible u, which include the Minc-Brègman bound u(B) = M(B) and the J
New permanental upper bounds for nonnegative matrices
β Scribed by Soules, George W.
- Book ID
- 118746752
- Publisher
- Taylor and Francis Group
- Year
- 2003
- Tongue
- English
- Weight
- 214 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0308-1087
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π SIMILAR VOLUMES
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
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