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Vector extrapolation methods with applications / Avram Sidi (Technion-Israel Institute of Technology, Haifa, Israel)

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Computational science & engineering ; 17Publisher: Philadelphia : SIAM, Society for Industrial and Applied Mathematics, [2017]Description: 1 Online-Ressource (xiv, 430 Seiten) : IllustrationenISBN:
  • 9781611974966
Subject(s): Additional physical formats: 9781611974959 | Erscheint auch als: Vector extrapolation methods with applications. Druck-Ausgabe Philadelphia : SIAM, Society for Industrial and Applied Mathematicsm, 2017. xiv, 430 SeitenDDC classification:
  • 515/.63 23
  • 515.63
MSC: MSC: *65B05 | 65F10 | 65F30LOC classification:
  • QA433
DOI: DOI: 10.1137/1.9781611974966Online resources: 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.PPN: PPN: 165736979XPackage identifier: Produktsigel: ZDB-72-SIA
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