Decoupling Highly Structured Polynomial Systems

An efficient technique for finding numerical approximations of isolated solutions of polynomial systems with a particular structure is presented. This structure is quite specific but arises naturally, for example when computing the critical points of a ...

The authors first present a class of expansions in a series of Bernoulli polyomials and then show how this general result can be applied to yield various (known or new) polynomial expansions. The corresponding expansion problem involving the Euler ...

The relationship between univariate polynomial ∈-gcd and factorization of resultant matrices is investigated and several stable and effective algorithms for the computation of an ∈-gcd are proposed. The main result is the design of a practically stable ...