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Linear operators that strongly preserve commuting pairs of fuzzy matrices

✍ Scribed by LeRoy B. Beasley; Norman J. Pullman


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
338 KB
Volume
41
Category
Article
ISSN
0165-0114

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Linear operators that strongly preserve
✍ LeRoy B. Beasley; Norman J. Pullman πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 998 KB

Beasley, L.B. and N.J. Pullman, Linear operators that strongly preserve graphical properties of matrices, Discrete Mathematics 104 (1992) 143-157. An operator on the set Ju of n X n matrices strongly preserves a subset 9 if it maps 9 into 9 and A\% into A\%. The operator semigroup of 9 is the semig

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✍ Xian Zhang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 173 KB

A pair of m Γ— n matrices (A, B) is said to be rank-sum-maximal if ρ(A + B) = ρ(A) + ρ(B), and rank-sum-minimal if ρ(A + B) = |ρ(A)ρ(B)|. We characterize the linear operators preserving the set of rank-sum-maximal pairs over any field and the linear operators preserving the set of rank-sum-minimal pa