New permanental bounds for Ferrers matrices
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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,