Results on measures of irreducibility and full indecomposability

Author:

Hartfiel D. J.

Abstract

This paper develops a notion of k k th measure of irreducibility and k k th measure of full indecomposability. The combinatorial properties of these notions, as well as relationships between these notions, are explored. The results are then used in converting results on positive matrices into results on nonnegative matrices.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

1. On a quasi-linear equation;Bellman, Richard;Canadian J. Math.,1956

2. Extension of partial diagonals of matrices. I;Brualdi, Richard A.;Monatsh. Math.,1971

3. The diagonal equivalence of a nonnegative matrix to a stochastic matrix;Brualdi, Richard A.;J. Math. Anal. Appl.,1966

4. A simplified form for nearly reducible and nearly decomposable matrices;Hartfiel, D. J.;Proc. Amer. Math. Soc.,1970

5. Bounds for eigenvalues and eigenvectors of a nonnegative matrix which involve a measure of irreducibility;Hartfiel, D. J.;SIAM J. Appl. Math.,1973

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Ando-Li-Mathias geometric mean and infinite product of hollow matrices;Linear and Multilinear Algebra;2022-02-13

2. Distribution of Entries in a Substochastic Matrix Having Eigenvalues Near 1;SIAM Journal on Matrix Analysis and Applications;2000-01

3. Degree of indecomposability of certain highly regular zero-one matrices;Linear Algebra and its Applications;1996-11

4. Primes in the semigroup of Boolean matrices;Linear Algebra and its Applications;1981-04

5. A general theory of measures for nonnegative matrices;Linear Algebra and its Applications;1981-02

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3