Abstract
In this chapter we formulate the main polynomial root finding problem in terms of the eigenvalue problem for the companion matrix. We will easily see that the companion matrix belongs to the class of upper Hessenberg matrices which are rank one perturbations of unitary matrices. We will study this class in detail here.
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© 2014 Springer Basel
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Eidelman, Y., Gohberg, I., Haimovici, I. (2014). Companion and Unitary Matrices. In: Separable Type Representations of Matrices and Fast Algorithms. Operator Theory: Advances and Applications, vol 235. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0612-1_12
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DOI: https://doi.org/10.1007/978-3-0348-0612-1_12
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0611-4
Online ISBN: 978-3-0348-0612-1
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