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Spectral Nevanlinna-Pick Interpolation

  • Allen R. Tannenbaum
Part of the Communications and Control Engineering book series (CCE)

Abstract

Let ε be a finite dimensional vector space, let D denote the unit disc, let z 1,…, z n D be mutually distinct, and let F 1,…,F n B(ε), where B(ε), denotes the space of bounded linear operators on ε. For a bounded analytic function F: DB(ε), let ∥Fsp be the spectral radius defined by
$${\left\| F \right\|_{sp}}: = \sup \left\{ {{{\left\| {F\left( z \right)} \right\|}_{sp}}:\,z \in D} \right\},$$
where ∥F(z)∥sp is the spectral radius of the operator F(z) (= the absolute value of the eigenvalue of largest magnitude of F(z)).

Keywords

Spectral Radius Interpolation Problem Hankel Operator Gain Margin Finite Dimensional Vector Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 1999

Authors and Affiliations

  • Allen R. Tannenbaum
    • 1
  1. 1.Department of Electrical and Computer EngineeringUniversity of MinnesotaMinneapolisUSA

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