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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)
版 | 1st ed. 2021. |
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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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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783030909086 |
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EB00229323 |
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