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New permanental bounds for Ferrers matrices

✍ Scribed by H. Alzer; C.M. da Fonseca


Book ID
113771945
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
268 KB
Volume
435
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


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✍ George W. Soules πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 288 KB

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

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Let A be a nonnegative integral n-square matrix with row sums ~1, ,r,,. It is known that per,4 <II:=, r,!i'r' if A is a (0, I)-matrix (Mint, 1963; Brigman, 1973) and also that per..4 d 1 + n:=, (G -I) if A is fully indecomposable (Donald et al., 1984). These two bounds are, in general, uncomparable,

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