Mou, ShaoshuaiAnderson, Brian2021-06-11December 1978-1-5090-2873-3http://hdl.handle.net/1885/237296This paper 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 modelled by undirected graphs.B. D. O. Anderson...is supported by Data-61, CSIRO, and by the Australian Research Council’s Discovery Projects DP-130103610 and DP-160104500.application/pdfen-AU© 2017 IEEE20172022-10-23