The roots and links in a class of \(M\)-matrices

DOI10.15352/AFA/1396833508zbMATH Open1297.15037arXiv1406.7654OpenAlexW3103170885MaRDI QIDQ402915

Xiao-Dong Zhang

Publication date: 29 August 2014

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Abstract: In this paper, we discuss exiting roots of sub-kernel transient matrices $P$ associated with a class of $M-$ matrices which are related to generalized ultrametric matrices. Then the results are used to describe completely all links of the class of matrices in terms of structure of the supporting tree.

Full work available at URL: https://arxiv.org/abs/1406.7654

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zbMATH Keywords

treelinkexiting rootinverse \(M\) matrixsub-kernel transient matricesultrametric matrices

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (1)

The space of all \(p\)-th roots of a nilpotent complex matrix is path-connected

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