The Mathematical Institute, University of Oxford, Eprints Archive

A New Approach to Yakubovich's s-Lemma

Hauser, Raphael (2007) A New Approach to Yakubovich's s-Lemma. Technical Report. Unspecified. (Submitted)

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Abstract

Subject to regularity assumptions, Yakubovich's s-Lemma characterizes the quadratic functions f(x) defined on a finite-dimensional space which are copositive with a given quadratic function q(x). This result has far-reaching consequences in optimization and control theory. Several approaches to its proof are known, some of which generalize to Hilbert spaces. In this paper we explore a new geometric approach to the proof of this classical result.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1096
Deposited By:Lotti Ekert
Deposited On:07 May 2011 09:02
Last Modified:14 May 2013 12:30

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