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Rank-one perturbations of matrix pencils

Combinatorics 2019-12-19 v1
Authors: Itziar Baragaña , Alicia Roca
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Abstract

We solve the problem of characterizing the Kronecker structure of a matrix pencil obtained by a rank-one perturbation of another matrix pencil. The results hold over arbitrary fields.

Keywords

matrix pencils rank-one perturbation Kronecker structure arbitrary fields

Cite

@article{arxiv.1912.08540,
  title  = {Rank-one perturbations of matrix pencils},
  author = {Itziar Baragaña and Alicia Roca},
  journal= {arXiv preprint arXiv:1912.08540},
  year   = {2019}
}

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