We present a new discussion of the complex branches ofW, an asymptotic expansion valid for all branches, an efficient numerical procedure for evaluating the function to arbitrary precision, and a method for the symbolic integration of expressions containingW.Expand

This paper introduces singular value decomposition (SVD) algorithms for some standard polynomial computations, in the case where the coecients are inexact or imperfectly known.Expand

This paper concerns regular matrix polynomials P(λ) when represented in various polynomial bases (other than the monomials 1, λ, λ 2 ,...). As in the monomial case, matrices of 'companion' form play… Expand

Two standard physics problems are solved in terms of the Lambert W function, to show the applicability of this recently defined function to physics. Other applications of the function are cited, b...

Abstract In this paper we show that generic dynamical systems have a weak shadowing property, namely that for a generic dynamical system φ, in the space of discrete continuous dynamical systems on a… Expand

Advances in Computational Mathematics publishes high quality, accessible and original articles at the forefront of computational and applied mathematics, with a clear potential for impact across the sciences.Expand

The technique of solving systems of multivariate polynomial equations via rigenproblems has become a topic of active research (with applications in computer-aided design and untrul theory, for example) at least since the papers [2, 6, 9].Expand