Vector extrapolation methods with applications
- Avram Sidi, Technion-Israel Institute of Technology, Haifa, Israel.
- Philadelphia : Society for Industrial and Applied Mathematics, 
- Copyright notice
- Physical description
- xiv, 430 pages ; 26 cm.
- Computational science and engineering.
At the library
Science Library (Li and Ma)
|QA433 .S525 2017||Unknown|
- Sidi, Avram, author.
- Includes bibliographical references and index.
- Publisher's Summary
- An important problem that arises in different disciplines of science and engineering is that of computing limits of sequences of vectors of very large dimension. Such sequences arise, for example, in the numerical solution of systems of linear and nonlinear equations by fixed-point iterative methods, and their limits are simply the required solutions to these systems. The convergence of these sequences, which is very slow in many cases, can be accelerated successfully by using suitable vector extrapolation methods. Vector Extrapolation Methods with Applications is the first book fully dedicated to the subject of vector extrapolation methods. It is a self-contained, up-to-date, and state-of-the-art reference on the theory and practice of the most useful methods. It covers all aspects of the subject, including development of the methods, their convergence study, numerically stable algorithms for their implementation, and their various applications. It also provides complete proofs in most places. As an interesting application, the author shows how these methods give rise to rational approximation procedures for vector-valued functions in the complex plane, a subject of importance in model reduction problems among others.This book is intended for numerical analysts, applied mathematicians, and computational scientists and engineers in fields such as computational fluid dynamics, structures, and mechanical and electrical engineering, to name a few. Since it provides complete proofs in most places, it can also serve as a textbook in courses on acceleration of convergence of iterative vector processes, for example.
(source: Nielsen Book Data)9781611974959 20171218
- Publication date
- Copyright date
- Computational Science & Engineering Series
- 9781611974959 paperback
- 161197495X paperback
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