On the transitive matrices over distributive lattices

被引：10

作者：

Tan, YJ ^{[1
]}

机构：

[1] Fuzhou Univ, Dept Math, Fuzhou 350002, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 400卷

关键词：

lattice matrix; transitive matrix; transitive closures; power; convergence; canonical form;

D O I：

10.1016/j.laa.2004.11.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：169 / 191

页数：23

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