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A matrix is called a lattice matrix if its elements belong to a distributive lattice. For a lattice matrix A of order n, if there exists an n x n permutation matrix P Such that F = PAP(T) = (f(ij)) satisfies f(ij) not less than f(ij) for i ＞ j, then F is called a canonical form of A. In this paper, the transitivity of powers and the transitive Closure of a lattice matrix are studied, and the convergence of powers of transitive lattice matrices is considered. Also, the problem of the canonical form of a transitive lattice matrix is further discussed. (c) 2004 Elsevier Inc. All rights reserved.
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LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN： 0024-3795
Year： 2005
Volume： 400
Page： 169-191
0 . 5 9
JCR@2005
1 . 0 0 0
JCR@2023
ESI Discipline： MATHEMATICS;
JCR Journal Grade：3
Cited Count：
WoS CC Cited Count： 10
SCOPUS Cited Count： 11
ESI Highly Cited Papers on the List： 0 Unfold All
WanFang Cited Count：
Chinese Cited Count：
30 Days PV： 1
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