Numerical Algorithms for Linear and Nonlinear Algebra

Abstract

Robust, efficient and numerically reliable parallel algorithms for the solution of fundamental problems in numerical mathematics are essential components of most parallel software systems for scientific and engineering applications. This topic provides a forum for the presentation and discussion of new developments in the area of parallel numerical methods. All aspects of the design and implementation of parallel algorithms will be addressed, ranging from discussion of the ideas on which they are based to analyses of their complexities and performances on current parallel architectures. Methods for the solution of large linear systems are of particular interest because of their widespread occurrence in many fields, particularly in the numerical solution of partial differential equations. However, contributions dealing with new and improved parallel algorithms for the solution of other problems in numerical linear algebra, linear and non-linear programming, error analysis, numerical quadrature, differential equations, fast transforms and non-linear systems have also been considered.