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Elements of the General Theory of Optimal Algorithms / by Ivan V. Sergienko, Valeriy K. Zadiraka, Oleg M. Lytvyn
(Springer Optimization and Its Applications. ISSN:19316836 ; 188)

1st ed. 2021.
出版者 (Cham : Springer International Publishing : Imprint: Springer)
出版年 2021
本文言語 英語
大きさ XVII, 378 p. 9 illus : online resource
著者標目 *Sergienko, Ivan V author
Zadiraka, Valeriy K author
Lytvyn, Oleg M author
SpringerLink (Online service)
件 名 LCSH:Mathematics -- Data processing  全ての件名で検索
LCSH:Mathematical optimization
LCSH:Algorithms
FREE:Computational Mathematics and Numerical Analysis
FREE:Optimization
FREE:Algorithms
一般注記 -Preface -- Introduction -- List of symbols and abbreviations -- 1. Elements of the computing theory -- 2. Theories of computational complexity -- 3. Interlination of functions -- 4. Interflatation of functions -- 5. Cubature formulae using interlanation functions -- 6. Testing the quality of algorithm programs -- 7. Computer technologies of solving problems of computational and applied mathematics with fixed values of quality characteristics -- Bilbiography -- Index -- About the Authors
In this monograph, the authors develop a methodology that allows one to construct and substantiate optimal and suboptimal algorithms to solve problems in computational and applied mathematics. Throughout the book, the authors explore well-known and proposed algorithms with a view toward analyzing their quality and the range of their efficiency. The concept of the approach taken is based on several theories (of computations, of optimal algorithms, of interpolation, interlination, and interflatation of functions, to name several). Theoretical principles and practical aspects of testing the quality of algorithms and applied software, are a major component of the exposition. The computer technology in construction of T-efficient algorithms for computing ε-solutions to problems of computational and applied mathematics, is also explored. The readership for this monograph is aimed at scientists, postgraduate students, advanced students, and specialists dealing with issues of developingalgorithmic and software support for the solution of problems of computational and applied mathematics
HTTP:URL=https://doi.org/10.1007/978-3-030-90908-6
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Springer eBooks 9783030909086
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EB00229323

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データ種別 電子ブック
分 類 LCC:QA71-90
DC23:518
書誌ID 4000141977
ISBN 9783030909086

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