Minimax Models in the Theory of Numerical Methods - Couverture rigide

Sukharev, Aleksei G.

 
9780792318217: Minimax Models in the Theory of Numerical Methods

Synopsis

Preface to the English Edition. Preface. Glossary of Symbols. 1. General Computation Model. 2. Numerical Integration. 3. Recovery of Functions from Their Values. 4. Search for the Global Extremum. 5. Some Special Classes of Extremal Problems. Bibliography. Author Index. Subject Index.

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Présentation de l'éditeur

The efficiency of computational methods and the choice of the most efficient methods for solving a specific problem or a specific class of problems have always played an important role in numerical analysis. Optimization of the computerized solution process is now a major problem of applied mathematics, which stimulates the search for new computational methods and ways to implement them.
In Minimax Models in the Theory of Numerical Methods, methods for estimating the efficiency of computational algorithms and problems of their optimality are studied within the framework of a general computation model.
The subjects dealt with in this important book are very different from the traditional subjects of computational methods. Close attention is paid to adaptive (sequential) computational algorithms, the process of computation being regarded as a controlled process and the algorithm as a control strategy. This approach allows methods of game theory and othermethods of operations research and systems analysis to be widely used for constructing optimal algorithms. The goal underlying the study of the various computation models dealt with in this title is the construction of concrete numerical algorithms admitting program implementation. The central role belongs to the concept of a sequentially optimal algorithm, which in many cases reflects the characteristics of real-life computational processes more fully than the traditional optimality concepts.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9789401052252: Minimax Models in the Theory of Numerical Methods

Edition présentée

ISBN 10 :  9401052255 ISBN 13 :  9789401052252
Editeur : Springer, 2012
Couverture souple