A variant of the AOR method for augmented systems

A variant of the AOR method for augmented system

Newton's method for linear inequality systems

Cataloged from PDF version of article.We describe a modified Newton type algorithm for the solution of linear inequality systems in the sense of minimizing the l(2) norm of infeasibilities. Finite termination is proved, and numerical results are given. (C) 1998 Elsevier Science B.V

Differential-Algebraic Equations and Beyond: From Smooth to Nonsmooth Constrained Dynamical Systems

The present article presents a summarizing view at differential-algebraic equations (DAEs) and analyzes how new application fields and corresponding mathematical models lead to innovations both in theory and in numerical analysis for this problem class. Recent numerical methods for nonsmooth dynamical systems subject to unilateral contact and friction illustrate the topicality of this development.Comment: Preprint of Book Chapte