Predicting the Behavior of Finite Precision Lanczos and Conjugate Gradient
Language: English
Published by Forgotten Books, 2024
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.22
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book explores the intricate relationship between finite-precision and exact Lanczos and Conjugate Gradient computations applied to solve symmetric positive definite linear systems or compute eigenvalues of symmetric matrices. It offers valuable insights into the behavior of the finite-precision implementations of these algorithms through a novel analogy with their exact counterparts operating on larger matrices with specific eigenvalue clusters. By establishing this connection, the author provides a framework for understanding and predicting the convergence rates, accuracy, and other attributes of finite-precision computations in practical scenarios. The book contributes to the broader field of numerical linear algebra by deepening our understanding of the practical behavior of these important algorithms and their limitations due to finite-precision arithmetic. It offers a unique perspective that can guide researchers and practitioners working with finite-precision computations and inspire further advancements in the field. 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 # 9781333699888_0
- Title
- Predicting the Behavior of Finite Precision Lanczos and Conjugate Gradient
- Author
- Anne Greenbaum, Z. Strakos
- Publisher
- Forgotten Books
- Publication year
- 2024
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1333699883
- ISBN 13
- 9781333699888
- Seller catalogs
- Calculus
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Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
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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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