Iterative Solution of Large Sparse Systems of Equations
Authors: Hackbusch, Wolfgang
Free Preview- New edition provides emphasis on the algebraic structure of linear iteration, not usually included in most literature
- Completely renewed references
- Content grew out of a series of lectures given by author
- Extensive and useful appendices included
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- About this book
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In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature.
The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms.
The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches. - About the authors
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Wolfgang Hackbusch is a Professor in the Scientific Computing department at Max Planck Institute for Mathematics in the Sciences. His research areas include numerical treatment of partial differential equations, numerical treatment of integral equations, and hierarchical matrices.
- Table of contents (14 chapters)
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Introduction
Pages 3-16
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Iterative Methods
Pages 17-34
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Classical Linear Iterations in the Positive Definite Case
Pages 35-67
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Analysis of Classical Iterations Under Special Structural Conditions
Pages 69-88
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Algebra of Linear Iterations
Pages 89-122
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Table of contents (14 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Iterative Solution of Large Sparse Systems of Equations
- Authors
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- Wolfgang Hackbusch
- Series Title
- Applied Mathematical Sciences
- Series Volume
- 95
- Copyright
- 2016
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-28483-5
- DOI
- 10.1007/978-3-319-28483-5
- Hardcover ISBN
- 978-3-319-28481-1
- Softcover ISBN
- 978-3-319-80360-9
- Series ISSN
- 0066-5452
- Edition Number
- 2
- Number of Pages
- XXIII, 509
- Number of Illustrations
- 15 b/w illustrations, 11 illustrations in colour
- Topics
