Elements of the General Theory of Optimal Algorithms (Springer Optimization and Its Applications #188) (Hardcover)

Elements of the General Theory of Optimal Algorithms (Springer Optimization and Its Applications #188) By Ivan V. Sergienko, Valeriy K. Zadiraka, Oleg M. Lytvyn Cover Image

Elements of the General Theory of Optimal Algorithms (Springer Optimization and Its Applications #188) (Hardcover)

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 developing algorithmic and software support for the solution of problems of computational and applied mathematics.
​Ivan V. Sergienko is the Director of the V.M. Glushkov Institute of Cybernetics of the National Academy of Science of Ukraine.Valeriy K. Zadiraka is Head of the Department of Numerical Methods for Optimization at the V.M. Glushkov Institute of Cybernetics of the National Academy of Science of Ukraine.Oleg M. Lytvyn is Professor at the Department of Information Computing Technology and Mathematics at the Ukrainian Engineering Pedagogical Academy.
Product Details ISBN: 9783030909062
ISBN-10: 3030909069
Publisher: Springer
Publication Date: January 12th, 2022
Pages: 378
Language: English
Series: Springer Optimization and Its Applications