# Block Full Rank Linearizations of Rational Matrices

@article{Dopico2022BlockFR, title={Block Full Rank Linearizations of Rational Matrices}, author={Froil{\'a}n M. Dopico and Silvia Marcaida and Mar'ia C. Quintana and Paul Van Dooren}, journal={ArXiv}, year={2022}, volume={abs/2011.00955} }

Block full rank pencils introduced in [Dopico et al., Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems, Linear Algebra Appl., 2020] allow us to obtain local information about zeros that are not poles of rational matrices. In this paper we extend the structure of those block full rank pencils to construct linearizations of rational matrices that allow us to recover locally not only information about zeros but also about poles…

## One Citation

### Perturbation theory of transfer function matrices

- Mathematics, Computer ScienceArXiv
- 2022

A structured condition number is proposed for a simple eigenvalue λ 0 of a (locally) minimal polynomial system matrix P ( λ), which is a simple zero of its transfer function matrix R (λ ).

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