Solving zero-dimensional polynomial systems using Gröbner bases is usually done by, first,
computing a Gröbner basis for the degree reverse lexicographic order, and next computing …

We present some greedy learning algorithms for building sparse nonlinear regression and
classification models from observational data using Mercer kernels. Our objective is to …

We consider the computation of syzygies of multivariate polynomials in a finite-dimensional
setting: for a K [X 1,…, X r]-module M of finite dimension D as a K-vector space, and given …

A reduced basis formulation is presented for the efficient solution of large-scale algebraic
random eigenvalue problems. This formulation aims to improve the accuracy of the first …

For many 2D systems, one of the independent variables plays a distinct role in the evolution
of the trajectories; since often this special independent variable is time, we call such systems …

In this paper we prove a necessary and sufficient condition for the asymptotic stability of a 2-
D system described by a system of higher-order linear partial difference equations. We show …

This article introduces a prescriptive control approach that improves the performance of grid-
tied inverters. The current mainstream of contributions is predominantly based on …

In this article we investigate a Lyapunov approach to the stability of finite-dimensional 2D
systems. We use the behavioural framework and consider a notion of stability following the …

Skew polynomials are a class of non-commutative polynomials that have several
applications in computer science, coding theory and cryptography. In particular, skew …

Molecular genetic studies have suggested a reading disability (RD, dyslexia) susceptibility
locus on chromosome 15q. We have previously mapped this locus by association to the …