Geometry of convex sets arising from hyperbolic polynomials

This thesis focuses on convex sets and convex cones defined using hyperbolic polynomials. We first review some of the theory of convex sets in $\R^d$ in general. We then review some classical algebraic theorems concerning polynomials in a single variable, as well as presenting a few more modern res...

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Bibliographic Details
Main Author: Myklebust, Tor Gunnar Josefsson Jay
Language:en
Published: 2008
Subjects:
Online Access:http://hdl.handle.net/10012/3960