• Corpus ID: 239024515

Jordan chains of $h$-cyclic matrices, II

@inproceedings{Nickerson2021JordanCO,
  title={Jordan chains of \$h\$-cyclic matrices, II},
  author={Andrew L. Nickerson and Pietro Paparella},
  year={2021}
}
McDonald and Paparella [Linear Algebra Appl. 498 (2016), 145–159] gave a necessary condition on the structure of 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. In addition, we provide results for the Jordan chains corresponding to the eigenvalue zero of singular matrices. Along the way, a new characterization of circulant matrices is given. 

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