Parameter-free iterative linear solvers
Author(s)
Bibliographic Information
Parameter-free iterative linear solvers
（Mathematical research = Mathematische Forschung, v. 97）
Akademie Verlag, c1996
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Note
Bibliography: p. [194]-213
Includes index
Description and Table of Contents
Description
Presenting a unifying theoretical framework for iterative solvers for linear systems, this work focuses on parameter-free methods. Despite the generality of the approach, convergence estimates and geometrical properties can be derived. State-of-the-art solvers are surveyed and classified, and a valuation of established methods based on the theoretical results and 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.
Table of Contents
- Necessities and Criterions
- Introduction to Iterative Methods
- Orthogonalization Methods
- Krylov Subspace Methods
- Transformation of Methods
- Preconditioning
- Numerical Stability
- Efficiency on Supercomputers
- Remarks and Annotations
- Time Table
- Notation
- Bibliography
- Index.
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