Elements Of The General Theory Of Optimal Algorithms

Author : Ivan V. Sergienko,Valeriy K. Zadiraka,Oleg M. Lytvyn
Publisher : Springer Nature
Page : 387 pages
File Size : 48,7 Mb
Release : 2022-01-11
Category : Mathematics
ISBN : 9783030909086

Get Book

Elements of the General Theory of Optimal Algorithms by Ivan V. Sergienko,Valeriy K. Zadiraka,Oleg M. Lytvyn Pdf

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.

Author : Ivan Vasilʹevich Sergienko
Publisher : Unknown
Page : 128 pages
File Size : 50,8 Mb
Release : 2021
Category : Algorithms
ISBN : 3030909077

Get Book

Elements of the General Theory of Optimal Algorithms by Ivan Vasilʹevich Sergienko Pdf

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.

Author : Joseph Frederick Traub,H. Woźniakowski
Publisher : Unknown
Page : 376 pages
File Size : 45,6 Mb
Release : 1980
Category : Mathematics
ISBN : UCAL:B4407412

Get Book

A General Theory of Optimal Algorithms by Joseph Frederick Traub,H. Woźniakowski Pdf

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

Author : A. Sukharev
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9789401127592

Get Book

Minimax Models in the Theory of Numerical Methods by A. Sukharev Pdf

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.

Author : Rudolf Ahlswede,Lars Bäumer,Ning Cai,Harout Aydinian,Vladimir Blinovsky,Christian Deppe,Haik Mashurian
Publisher : Springer
Page : 1128 pages
File Size : 45,8 Mb
Release : 2006-12-08
Category : Computers
ISBN : 9783540462453

Get Book

General Theory of Information Transfer and Combinatorics by Rudolf Ahlswede,Lars Bäumer,Ning Cai,Harout Aydinian,Vladimir Blinovsky,Christian Deppe,Haik Mashurian Pdf

This book collects 63 revised, full-papers contributed to a research project on the "General Theory of Information Transfer and Combinatorics" that was hosted from 2001-2004 at the Center for Interdisciplinary Research (ZIF) of Bielefeld University and several incorporated meetings. Topics covered include probabilistic models, cryptology, pseudo random sequences, quantum models, pattern discovery, language evolution, and network coding.

Author : Anonim
Publisher : Unknown
Page : 604 pages
File Size : 54,9 Mb
Release : 1984
Category : Adaptive control systems
ISBN : UCSD:31822004309928

Get Book

Proceedings of the 23rd IEEE Conference on Decision & Control, December 12-14, 1984, Las Vegas Hilton, Las Vegas, Nevada by Anonim Pdf

Author : M. Hazewinkel
Publisher : Springer
Page : 952 pages
File Size : 55,8 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781489937933

Get Book

Encyclopaedia of Mathematics by M. Hazewinkel Pdf

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 46,5 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9789400959910

Get Book

Encyclopaedia of Mathematics by Michiel Hazewinkel Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 864 pages
File Size : 54,9 Mb
Release : 1985
Category : Mechanics, Applied
ISBN : OSU:32435026160853

Get Book

Applied Mechanics Reviews by Anonim Pdf

Author : Erich Novak,Henryk Woźniakowski
Publisher : European Mathematical Society
Page : 112 pages
File Size : 49,8 Mb
Release : 2009
Category : Computational complexity
ISBN : 3037190698

Get Book

Essays on the Complexity of Continuous Problems by Erich Novak,Henryk Woźniakowski Pdf

This book contains five essays on the complexity of continuous problems, written for a wider audience. The first four essays are based on talks presented in 2008 when Henryk Wozniakowski received an honorary doctoral degree from the Friedrich Schiller University of Jena. The focus is on the introduction and history of the complexity of continuous problems, as well as on recent progress concerning the complexity of high-dimensional numerical problems. The last essay provides a brief and informal introduction to the basic notions and concepts of information-based complexity addressed to a general readership.

Author : Anonim
Publisher : Unknown
Page : 880 pages
File Size : 41,8 Mb
Release : 1994
Category : Aeronautics
ISBN : UOM:39015030249059

Get Book

Scientific and Technical Aerospace Reports by Anonim Pdf

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Author : Elliott Ward Cheney,William Allan Light
Publisher : American Mathematical Soc.
Page : 379 pages
File Size : 50,8 Mb
Release : 2009-01-13
Category : Mathematics
ISBN : 9780821847985

Get Book

A Course in Approximation Theory by Elliott Ward Cheney,William Allan Light Pdf

This textbook is designed for graduate students in mathematics, physics, engineering, and computer science. Its purpose is to guide the reader in exploring contemporary approximation theory. The emphasis is on multi-variable approximation theory, i.e., the approximation of functions in several variables, as opposed to the classical theory of functions in one variable. Most of the topics in the book, heretofore accessible only through research papers, are treated here from the basics to the currently active research, often motivated by practical problems arising in diverse applications such as science, engineering, geophysics, and business and economics. Among these topics are projections, interpolation paradigms, positive definite functions, interpolation theorems of Schoenberg and Micchelli, tomography, artificial neural networks, wavelets, thin-plate splines, box splines, ridge functions, and convolutions. An important and valuable feature of the book is the bibliography of almost 600 items directing the reader to important books and research papers. There are 438 problems and exercises scattered through the book allowing the student reader to get a better understanding of the subject.

Author : Anonim
Publisher : Unknown
Page : 1186 pages
File Size : 54,8 Mb
Release : 1979
Category : Science
ISBN : CORNELL:31924057177986

Get Book

Technical Abstract Bulletin by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 766 pages
File Size : 42,5 Mb
Release : 1968
Category : Electronic
ISBN : STANFORD:36105014649508

Get Book

USSR Scientific Abstracts: Cybernetics, Computers and Automation Technology by Anonim Pdf

Author : Ivan V. Sergienko
Publisher : Springer Science & Business Media
Page : 237 pages
File Size : 55,5 Mb
Release : 2012-07-27
Category : Mathematics
ISBN : 9781461442110

Get Book

Methods of Optimization and Systems Analysis for Problems of Transcomputational Complexity by Ivan V. Sergienko Pdf

This work presents lines of investigation and scientific achievements of the Ukrainian school of optimization theory and adjacent disciplines. These include the development of approaches to mathematical theories, methodologies, methods, and application systems for the solution of applied problems in economy, finances, energy saving, agriculture, biology, genetics, environmental protection, hardware and software engineering, information protection, decision making, pattern recognition, self-adapting control of complicated objects, personnel training, etc. The methods developed include sequential analysis of variants, nondifferential optimization, stochastic optimization, discrete optimization, mathematical modeling, econometric modeling, solution of extremum problems on graphs, construction of discrete images and combinatorial recognition, etc. Some of these methods became well known in the world's mathematical community and are now known as classic methods.