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Elements Of The General Theory Of Optimal Algorithms


Elements Of The General Theory Of Optimal Algorithms
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Elements Of The General Theory Of Optimal Algorithms


Elements Of The General Theory Of Optimal Algorithms
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Author : Ivan V. Sergienko
language : en
Publisher: Springer Nature
Release Date : 2022-01-11

Elements Of The General Theory Of Optimal Algorithms written by Ivan V. Sergienko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-11 with Mathematics categories.


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.



Elements Of The General Theory Of Optimal Algorithms


Elements Of The General Theory Of Optimal Algorithms
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Author : Ivan Vasilʹevich Sergienko
language : en
Publisher:
Release Date : 2021

Elements Of The General Theory Of Optimal Algorithms written by Ivan Vasilʹevich Sergienko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Algorithms categories.


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 -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.



A General Theory Of Optimal Algorithms


A General Theory Of Optimal Algorithms
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Author : Joseph Frederick Traub
language : en
Publisher:
Release Date : 1980

A General Theory Of Optimal Algorithms written by Joseph Frederick Traub and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.


The purpose of this monograph is to create a general framework for the study of optimal algorithms for problems that are solved approximately. For generality the setting is abstract, but we present many applications to practical problems and provide examples to illustrate concepts and major theorems. The work presented here is motivated by research in many fields. Influential have been questions, concepts, and results from complexity theory, algorithmic analysis, applied mathematics and numerical analysis, the mathematical theory of approximation (particularly the work on n-widths in the sense of Gelfand and Kolmogorov), applied approximation theory (particularly the theory of splines), as well as earlier work on optimal algorithms. But many of the questions we ask (see Overview) are new. We present a different view of algorithms and complexity and must request the reader's



Minimax Models In The Theory Of Numerical Methods


Minimax Models In The Theory Of Numerical Methods
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Author : A. Sukharev
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Minimax Models In The Theory Of Numerical Methods written by A. Sukharev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.


In the Russian edition published in 1989, this book was called "Minimax Algorithms in Problems of Numerical Analysis". The new title is better related to the subject of the book and its style. The basis for every decision or inference concerning the ways to solve a given problem is the computa tion model. Thus, the computation model is the epicenter of any structure studied in the book. Algorithms are not constructed here, they are rather derived from computation models. Quality of an algorithm depends entirely on consistency of the model with the real-life problem. So, constructing a model is an art, deriving an algorithm is a science. We study only minimax or, in other words, worst-case computation models. However, one of the characteristic features of the book is a new approach to the notion of the worst-case conditions in dynamic processes. This approach leads to the concept of sequentially optimal algorithms, which play the central role in the book. In conclusion, I would like to express my gratitude to Prof. Dr. Heinz J. Skala and Dr. Sergei A. Orlovsky for encouraging translation of this book. I also greatly appreciate the highly professional job of Dr. Olga R. Chuyan who translated the book.



Encyclopaedia Of Mathematics


Encyclopaedia Of Mathematics
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Author : M. Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-11-11

Encyclopaedia Of Mathematics written by M. Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.




Optimal Algorithms


Optimal Algorithms
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Author : Blagovest Sendov
language : en
Publisher:
Release Date : 1986

Optimal Algorithms written by Blagovest Sendov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Approximation theory categories.




Encyclopaedia Of Mathematics


Encyclopaedia Of Mathematics
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.


This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.



Futureproofing Engineering Education For Global Responsibility


Futureproofing Engineering Education For Global Responsibility
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Author : Michael E. Auer
language : en
Publisher: Springer Nature
Release Date : 2025-03-19

Futureproofing Engineering Education For Global Responsibility written by Michael E. Auer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-19 with Computers categories.


This book contains papers in the fields of: Virtual and augmented learning. Games in engineering education. Social aspects of digitalization. Technical teacher training. Accessible learning and technologies. Dance of data in educational science and practice. Engineering education for production and service structures of the future. Innovative approaches to STEAM education and music therapy through emerging technologies. We are currently witnessing a significant transformation in the development of education on all levels and especially in post-secondary and higher education. To face these challenges, higher education must find innovative and effective ways to respond in a proper way. Changes have been made in the way we teach and learn, including the massive use of new means of communication, such as videoconferencing and other technological tools.



Proceedings Of The 23rd Ieee Conference On Decision Control December 12 14 1984 Las Vegas Hilton Las Vegas Nevada


Proceedings Of The 23rd Ieee Conference On Decision Control December 12 14 1984 Las Vegas Hilton Las Vegas Nevada
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Author :
language : en
Publisher:
Release Date : 1984

Proceedings Of The 23rd Ieee Conference On Decision Control December 12 14 1984 Las Vegas Hilton Las Vegas Nevada written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Adaptive control systems categories.




Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.