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Eigenvalue Invariance of Inhomogeneous Matrix Products in Distributed Algorithms

Mou, Shaoshuai; Anderson, Brian


This letter establishes a general theorem concerning the eigenvalue invariance of certain inhomogeneous matrix products with respect to changes of individual multiplicands’ orderings. Instead of detailed entries, it is the zero-nonzero structure that matters in determining such eigenvalue invariance. The theorem is then applied in analyzing the convergence rate of a distributed algorithm for solving linear equations over networks modeled by undirected graphs.

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: IEEE Control Systems Letters
DOI: 10.1109/LCSYS.2017.2698179
Access Rights: Open Access


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