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Line Segments in the Space of Hurwitz Polynomials
by
Taner Büyükköroglu
Anadolu University, Eskisehir
Coauthors: Vakif Dzhafarov
Every n-th order polynomial can be represented by an (n+1)-dimensional vector. The subset of Rn+1 generated by the Hurwitz stable polynomials is called the Hurwitz set of Rn+1 and is denoted by Hn
It is well known that Hn is not convex, but if all edges of a polytope lie inside of Hn, then the whole polytope is contained in Hn. Therefore, the investigation of line segments with end-points from Hn is of great importance. In this study we investigate such line segments. We give an algorithm which explains the segment behavior (in the sense of determining subsegments lying inside and outside of Hn) in the space Rn+1.
Date received: July 11, 2001
Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagx-35.