Parameter-Free Iterative Linear Solvers (Mathematical Research) - Softcover

Weiss, Rüdiger

Softcover

ISBN 10: 3055017633 ISBN 13: 9783055017636

Publisher: Wiley-VCH, 1996

Synopsis

This book presents a unifying theoretical framework for iterative solvers for linear systems. The focus is on parameter-free methods, i. e. methods that can be applied without a priori knowledge of inner properties of the systems. Despite the generality of the approach convergence estimates and geometrical properties can be derived.
State-of-the-art solvers are surveyed and classified. Many new relations between these methods are furnished leading to a deeper insight. Existing gaps in the theory are pointed out and some visions for the design of more efficient and robust solvers are given.
A valuation of established methods based on the theoretical results and on numerical tests is given. Recipes for the application of particular techniques are derived. The criteria are efficiency, robustness and the possibility of parallelization.
This book has a triple aim: to simplify the analysis by a unified theory, to survey and valuate state-of-the-art solvers and to give an introduction to iterative solvers for non-experts in the field.

About this title

From the Publisher

This book establishes a unified theory of state-of-the-art solvers and beyond. It covers new approaches because of its generality. Despite this generality convergence results and geometrical properties are derived. The possibility to apply convergence results to unconventional techniques was the origin for the introduction of this concept. Thus, it opens the eyes for constructing better methods.

About the Author

Author's affiliation:
Rüdiger Weiss, Dr. rer. nat., Computing center, University of Karlsruhe

Edition details

• Publisher: Wiley-VCH
• Publication date: 1996
• Language: English
• ISBN 10: 3055017633
• ISBN 13: 9783055017636
• Binding: Paperback
• Edition number: 1
• Number of pages: 218