Extrapolation methods, used to accelerate the convergence of a given sequence of numbers, vectors, or matrices, play an important role in many branches of numerical analysis. This book provides a detailed survey of linear extrapolation methods, investigates their properties and efficiency, and establishes some generalizations. The applicability of extrapolation methods is strongly connected with the existence of an asymptropic expansion of the sequence under consideration. Therefore, the first part of the book is devoted to the investigation of asymptropic expansions and their appearance in different fields. Includes examples and problems. Distributed by VCH. Annotation c. by Book News, Inc., Portland, Or.
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