Jordan chains of h-cyclic matrices, II

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Published: Aug 20, 2022
DOI: https://doi.org/10.13001/ela.2022.7019
Keywords:
bipartite digraph digraph circulant matrix cyclically h-partite digraph Jordan canonical form

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Andrew Nickerson
University of Washington Bothell, USA
https://orcid.org/0000-0002-8297-1059
Pietro Paparella
University of Washington Bothell, USA
https://orcid.org/0000-0001-8363-273X

Abstract

McDonald and Paparella [Linear Algebra Appl. 498 (2016), 145-159] gave a necessary condition on the structure of the Jordan chains of h-cyclic matrices. In this work, that necessary condition is shown to be sufficient. As a consequence, we provide a spectral characterization of nonsingular, h-cyclic matrices.

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Vol. 38 (2022)
Section
Article