Advertisement

Companion and Unitary Matrices

  • Yuli Eidelman
  • Israel Gohberg
  • Iulian Haimovici
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 235)

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Basel 2014

Authors and Affiliations

  • Yuli Eidelman
    • 1
  • Israel Gohberg
    • 1
  • Iulian Haimovici
    • 1
  1. 1.School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityTel AvivIsrael

Personalised recommendations