Pseudozero set of interval polynomials

Interval polynomials are useful to describe perturbed polynomials. We present a graphical tool to describe how perturbations of the polynomial coefficients affect its zeros without using interval arithmetic nor matrix representation. This tool implements real pseudozero set that differ from the well known complex pseudozero set restricting perturbations to be real and applied to real polynomials. We introduce a computable formula for this real pseudozero set and compare complex and real pseudozero sets. We propose a graphical MATLAB interface to draw zeros of such interval polynomials. Categories and Subject Descriptors G.4 [Mathematics of Computation]: Mathematical Soft

• Type: Conference
• Year: 2006
• Where: SAC
• Authors: Stef Graillat, Philippe Langlois
• Keywords: Applied Computing, Interval Polynomials, Perturbed Polynomials, Real Pseudozero Sets, SAC 2006