Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis

@inproceedings{Dopico2018StrongLO,
  title={Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis},
  author={Froil'an M. Dopico and Silvia Marcaida and Mar'ia C. Quintana},
  year={2018}
}
We construct a new family of strong linearizations of rational matrices considering the polynomial part of them expressed in a basis that satisfies a three term recurrence relation. For this purpose, we combine the theory developed by Amparan et al., MIMS EPrint 2016.51, and the new linearizations of polynomial matrices introduced by Fa{\ss}bender and Saltenberger, Linear Algebra Appl., 525 (2017). In addition, we present a detailed study of how to recover eigenvectors of a rational matrix from… CONTINUE READING

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