Topics In Iteration Theory
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Topics In Iteration Theory
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Author : György I. Targonski
language : en
Publisher:
Release Date : 1981
Topics In Iteration Theory written by György I. Targonski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Iterative methods (Mathematics). categories.
Iteration Theory Proceedings Of The European Conference
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Author : W Forg-rob
language : en
Publisher: World Scientific
Release Date : 1996-07-03
Iteration Theory Proceedings Of The European Conference written by W Forg-rob and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-03 with categories.
Iteration theory has its roots in the operation of substituting functions into itself. This has led to questions like that of the behaviour of functions by repeating this substitution and when the number of iterations tends to infinity. The terms 'orbit' and 'chaos' appropriately describe this behaviour. Dynamical systems and the theory of functional equations play important roles in this field.
Iteration Theories
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Author : Stephen L. Bloom
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Iteration Theories written by Stephen L. Bloom 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 Computers categories.
This monograph contains the results of our joint research over the last ten years on the logic of the fixed point operation. The intended au dience consists of graduate students and research scientists interested in mathematical treatments of semantics. We assume the reader has a good mathematical background, although we provide some prelimi nary facts in Chapter 1. Written both for graduate students and research scientists in theoret ical computer science and mathematics, the book provides a detailed investigation of the properties of the fixed point or iteration operation. Iteration plays a fundamental role in the theory of computation: for example, in the theory of automata, in formal language theory, in the study of formal power series, in the semantics of flowchart algorithms and programming languages, and in circular data type definitions. It is shown that in all structures that have been used as semantical models, the equational properties of the fixed point operation are cap tured by the axioms describing iteration theories. These structures include ordered algebras, partial functions, relations, finitary and in finitary regular languages, trees, synchronization trees, 2-categories, and others.
Iteration Theory And Its Functional Equations
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Author : Roman Liedl
language : en
Publisher: Springer
Release Date : 2006-11-14
Iteration Theory And Its Functional Equations written by Roman Liedl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The Theory And Applications Of Iteration Methods
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Author : Ioannis K. Argyros
language : en
Publisher: CRC Press
Release Date : 2022-01-21
The Theory And Applications Of Iteration Methods written by Ioannis K. Argyros and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-21 with Mathematics categories.
The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used. The Theory and Applications of Iteration Methods, Second Edition includes newly developed iteration methods taking advantage of the most recent technology (computers, robots, machines). It extends the applicability of well-established methods by increasing the convergence domain and offers sharper error tolerance. New proofs and ideas for handling convergence are introduced along with a new variety of story problems picked from diverse disciplines. This new edition is for researchers, practitioners, and students in engineering, economics, and computational sciences.
Iteration Theory And Its Functional Equations
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Author : Roman Liedl
language : en
Publisher:
Release Date : 2014-01-15
Iteration Theory And Its Functional Equations written by Roman Liedl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Proceedings Of The European Conference On Iteration Theory
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Author : C. Mira
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1991
Proceedings Of The European Conference On Iteration Theory written by C. Mira and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Iterative Functional Equations
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Author : Marek Kuczma
language : en
Publisher: Cambridge University Press
Release Date : 1990-07-27
Iterative Functional Equations written by Marek Kuczma and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-07-27 with Mathematics categories.
A cohesive and comprehensive account of the modern theory of iterative functional equations. Many of the results included have appeared before only in research literature, making this an essential volume for all those working in functional equations and in such areas as dynamical systems and chaos, to which the theory is closely related. The authors introduce the reader to the theory and then explore the most recent developments and general results. Fundamental notions such as the existence and uniqueness of solutions to the equations are stressed throughout, as are applications of the theory to such areas as branching processes, differential equations, ergodic theory, functional analysis and geometry. Other topics covered include systems of linear and nonlinear equations of finite and infinite ORD various function classes, conjugate and commutable functions, linearization, iterative roots of functions, and special functional equations.
European Conference On Iteration Theory Ecit 91
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Author : J. P. Lampreia
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1992-01-01
European Conference On Iteration Theory Ecit 91 written by J. P. Lampreia and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Mathematics categories.
Discrete Iterations
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Author : Francois Robert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Discrete Iterations written by Francois Robert 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 Mathematics categories.
a c 9 h In presenting this monograph, I would like to indicate both its orientation as well as my personal reasons for being interested in discrete iterations (that is, iterations on a generally very large,jinite set). While working in numerical analysis I have been interested in two main aspects: - the algorithmic aspect: an iterative algorithm is a mathematical entity which behaves in a dynamic fashion. Even if it is started far from a solution, it will often tend to get closer and closer. - the mathematical aspect: this consists of a coherent and rigorous analy sis of convergence, with the aid of mathematical tools (these tools are mainly the use of norms for convergence proofs, the use of matrix algebra and so on). One may for example refer to the algorithmic and mathematical aspects of Newton's method in JRn as well as to the QR algorithm for eigenvalues of matrices. These two algorithms seem to me to be the most fascinating algorithms in numerical analysis, since both show a remarkable practical efficiency even though there exist relatively few global convergence results for them.