Simple image set of (max,+) linear mappings

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چکیده

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Simple image set of linear mappings in a max-min algebra

For a given linear mapping, determined by a square matrix A in a max–min algebra, the set SA consisting of all vectors with a unique pre-image (in short: the simple image set of A) is considered. It is shown that if the matrix A is generally trapezoidal, then the closure of SA is a subset of the set of all eigenvectors of A. In the general case, there is a permutation , such that the closure of...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2000

ISSN: 0166-218X

DOI: 10.1016/s0166-218x(00)00212-2