Author: Avram SidiPublisher:
ISBN:
Category :
Languages : en
Pages : 62
Book Description
Upper Bounds for Convergence Rates of Vector Extrapolation Methods on Linear Systems with Initial Iterations
Author: Avram SidiVector Extrapolation Methods with Applications
Author: Avram SidiPublisher: SIAM
ISBN: 161197495X
Category : Science
Languages : en
Pages : 421
Book Description
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.
Extrapolation and Rational Approximation
Author: Claude BrezinskiPublisher: Springer Nature
ISBN: 3030584186
Category : Mathematics
Languages : en
Pages : 410
Book Description
This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors. It can serve as an introduction to the topics covered, including extrapolation methods, Padé approximation, orthogonal polynomials, continued fractions, Lanczos-type methods etc.; it also provides in depth discussion of the many links between these subjects. A highlight of this book is the presentation of the human side of the fields discussed via personal testimonies from contemporary researchers, their anecdotes, and their exclusive remembrances of some of the “actors.” This book shows how research in this domain started and evolved. Biographies of other scholars encountered have also been included. An important branch of mathematics is described in its historical context, opening the way to new developments. After a mathematical introduction, the book contains a precise description of the mathematical landscape of these fields spanning from the 19th century to the first part of the 20th. After an analysis of the works produced after that period (in particular those of Richardson, Aitken, Shanks, Wynn, and others), the most recent developments and applications are reviewed.
Proceedings of the Cornelius Lanczos International Centenary Conference
Author: J. David BrownPublisher: SIAM
ISBN: 9780898713398
Category : Biography & Autobiography
Languages : en
Pages : 722
Book Description
Scientific and Technical Aerospace Reports
Author: Iterative Methods for Sparse Linear Systems
Author: Yousef SaadPublisher: SIAM
ISBN: 0898715342
Category : Mathematics
Languages : en
Pages : 537
Book Description
Mathematics of Computing -- General.
Institute for Computational Mechanics in Propulsion, Seventh Annual Report, 1992
Author: Charles E. FeilerPublisher:
ISBN:
Category : Computer science
Languages : en
Pages : 64
Book Description
Monthly Catalog of United States Government Publications
Author: Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 720
Book Description
Monthly Catalogue, United States Public Documents
Author: Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1786
Book Description
Applied Iterative Methods
Author: Louis A. HagemanPublisher: Elsevier
ISBN: 1483294374
Category : Mathematics
Languages : en
Pages : 409
Book Description
Applied Iterative Methods