Convergence of a Two-Stage Richardson Iterative Procedure for Solving Systems
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.09
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book delineates a novel approach to solving systems of linear equations, widely used in scientific computations. The author introduces a technique known as the Richardson method, a second-order scheme that approximates solutions iteratively. The text offers a detailed exposition of the method's convergence properties, providing a theoretical foundation for its practical application. Additionally, the author explores extensions of the method to handle more complex linear systems, including those with symmetric and skew-symmetric components. Through numerical experiments and mathematical analysis, the book demonstrates the effectiveness of the Richardson method in solving real-world problems, offering valuable insights for researchers and practitioners in scientific computing, engineering, and other fields that rely heavily on solving systems of equations. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781333246891_0
- Title
- Convergence of a Two-Stage Richardson Iterative Procedure for Solving Systems
- Author
- Gene H. Golub, Michael L. Overton
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1333246897
- ISBN 13
- 9781333246891
- Seller catalogs
- Calculus
Master numerical methods for solving linear systems with a clear, practical approach.
This book explains a two-stage Richardson iteration and how inner and outer iterations work together to find accurate solutions.
This technical treatise covers convergence analysis, parameter choices, and optimizations for both symmetric and nonsymmetric systems. It also explores how these methods perform in practice, including numerical experiments and connections to related techniques like the conjugate gradient method.- How inner iterations reduce residuals and how outer iterations drive the final solution
- Guidance on selecting parameters to balance accuracy and computation work
- Different problem settings, including symmetric positive definite and nonsymmetric cases
- Insights from numerical experiments and practical implementation notes
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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