On the convergence of powers of interval matrices (2)期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

On the convergence of powers of interval matrices (2)

Authors:	Günter Mayer

Institution:	(1) Institut für Angewandte Mathematik, Universität Karlsruhe (TH), Kaiserstr. 12, D-7500 Karlsruhe, (Fed. Rep.)

Abstract:	Summary Let $\mathfrak{A}$ be a real irreduciblen×n interval matrix. Then a necessary and sufficient condition is given for the sequence $\{ \mathfrak{A}^k \}$ of the powers of an interval matrix $\mathfrak{A}$ to converge to a matrix $\mathfrak{A}^\infty$ which is not the null matrix. In addition a criterion for $\mathfrak{A}$ is proved to decide whether the limit matrix $\mathfrak{A}^\infty$ satisfies the condition of symmetry $\mathfrak{A}^\infty = - \mathfrak{A}^\infty$ .

Keywords:	AMS(MOS): 65F30 CR: G1 3
本文献已被 SpringerLink 等数据库收录！