![]() ![]() It also provides complete proofs in most places. 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 is a self-contained, up-to-date, and state-of-the-art reference on the theory and practice of the most useful methods. Vector Extrapolation Methods with Applications is the first book fully dedicated to the subject of vector extrapolation methods. The convergence of these sequences, which is very slow in many cases, can be accelerated successfully by using suitable vector extrapolation methods. 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. 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. ![]()
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