Parameter-Free Iterative Linear Solvers (MATHEMATICAL RESEARCH)

Weiss, Rudiger

ISBN 10: 3055017633 / ISBN 13: 9783055017636

Published by Wiley-VCH Verlag GmbH, 1996

About this Item

Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.

Seller Inventory # 41655424/202

Bibliographic Details

• Title: Parameter-Free Iterative Linear Solvers (MATHEMATICAL RESEARCH)
• Publisher: Wiley-VCH Verlag GmbH
• Publication Date: 1996
• Language: English
• ISBN 10: 3055017633
• ISBN 13: 9783055017636
• Binding: Soft cover
• Condition: Sehr gut
• Seller catalogs:
  • Bücher

About this title

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.

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.