Böcker i Studies in Computational Mathematics-serien

Presents theories, methods, algorithms, and applications of mathematical extensions for classical wavelet analysis. This volume includes a method for tomographic reconstruction using a mechanical image model and a statistical study for independent adaptive signal representation.

Useful for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations, this book addresses four problems.

Covers the traditional methods for polynomial root-finding such as Newton's, as well as numerous variations on them as well as developments such as Vincent's method, simultaneous iterations, and matrix methods. This book contains a chapter on evaluation of polynomials, including parallel methods and errors.

Devotes to the perturbation analysis of matrix equations. This book presents the general perturbation theory for matrix algebraic equations. It includes examples, tables and figures in order to illustrate the perturbation techniques and bounds. It contains the results that can be used in the development of reliable computational algorithms.

A collection of eleven articles, which deal with special topics in Multivariate Approximation and Interpolation. The material discussed here has applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mathematical Modelling, in Signal and Image Processing and in Machine Learning, to mention a few.

Demonstrates that many comprehensive environmental studies can successfully be carried out when the computations are correctly organized. This book helps the reader to understand that, while it is important to select fast numerical methods, it is important to develop parallel codes. It investigates the trends related to high levels of pollution.

The Haifa 2000 Workshop on 'Inherently Parallel Algorithms for Feasibility and Optimization and their Applications' brought together top scientists in this area. This volume presents the proceedings of the Workshop representing the discussions, debates and communications that took place.

Suitable for research or graduate course, this book covers most of the traditional methods for polynomial root-finding such as interpolation and methods due to Graeffe, Laguerre, and Jenkins and Traub.