Sinossi
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 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 other methods of operations research and systems analysis to be widely used for constructing optimal algorithms. The goal underlying the study of the various comutation models dealt with in this title is the construction of concrete numerical algorithms admitting programme implementation. The central role belongs to the concept of a sequentially optimal algorithms, which in many cases reflects the characterics of real-life computational processes more fully than the traditional optimality concepts.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
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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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 276 pp. Englisch. Codice articolo 9780792318217
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Minimax Models In The Theory Of Numerical Methods
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Springer Netherlands|Springer, Berlin, 1992
ISBN 10: 0792318218
ISBN 13: 9780792318217
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9780792318217
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