Abstract: This article describes how a large number of practical feedback design problems can be reduced to the study of quantified multivariate polynomial inequalities (MPIs). However, the ...

Abstract: An algorithm is given for the extraction of the greatest common factor from two multiraiable polynomials based on an extension of Trudi's remit for single-variable polynomials. Nontrivial ...

Proceedings of the American Mathematical Society, Vol. 145, No. 11 (November 2017), pp. 4837-4844 (8 pages) Abstract A theorem is proved concerning approximation of analytic functions by multivariate ...

This repository contains two MATLAB functions (ChebPoly_primal.m and ChebPoly_dual.m) designed to compute multivariate Chebyshev polynomials, together with their associated signatures, as described in ...

We introduce a new approach aiming at computing approximate optimal designs for multivariate polynomial regressions on compact (semialgebraic) design spaces. We use the moment-sum-of-squares hierarchy ...