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Iterative Solution Methods
Abstract
This book deals primarily with the numerical solution of linear systems of equations by iterative methods. The first part of the book is intended to serve as a textbook for a numerical linear algebra course. The material assumes the reader has a basic knowledge of linear algebra, such as set theory and matrix algebra, however it is demanding for students who are not afraid of theory. To assist the reader, the more difficult passages have been marked, the definitions for each chapter are collected at the beginning of the chapter, and numerous exercises are included throughout the text. The second part of the book serves as a monograph introducing recent results in the iterative solution of linear systems, mainly using preconditioned conjugate gradient methods. This book should be a valuable resource for students and researchers alike wishing to learn more about iterative methods.
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Cited by
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Fast Image Recovery Using Variable Splitting and Constrained Optimization
Afonso, M. V., Bioucas-Dias, J. M., & Figueiredo, M. A. T. (2010) · IEEE Transactions on Image Processing · doi:10.1109/tip.2010.2047910 · Cited by 1,223
Fast, robust total variation-based reconstruction of noisy, blurred images
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Chen, Y.-Y., Gan, Q., & Suel, T. (2002) · Proceedings of the eleventh international conference on Information and knowledge management · doi:10.1145/584792.584882 · Cited by 59
Metadata
- Authors
- Axelsson, O.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1994-03-25
- OpenAlex
- W1546004968
- Cited by
- 2,085
- References
- 0
- FWCI
- 12.97
- Type
- book
- Language
- en
- Open access
- closed
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- Axelsson, O. (1994). Iterative Solution Methods. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9780511624100
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