Finding the Maximum Modulus of a Polynomial on the Polydisk Using a Generalization of Steckin's Lemma
Gabriel De La Chevrotiere · SIAM Undergraduate Research Online · 2009
This paper is a generalization of the work of J.J. Green in Calculating the maximum modulus of a polynomial using Stečkin's Lemma.This lemma is generalized to higher dimensions and is used in an algorithm to locate the absolute global max of a polynomial on the polydisk.How to apply this algorithm to the real sphere and the complex ball is also explained.