Varieties Of Iteration Theories
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Author |
: |
Publisher |
: |
Total Pages |
: 28 |
Release |
: 1988 |
ISBN-10 |
: OCLC:909177889 |
ISBN-13 |
: |
Rating |
: 4/5 (89 Downloads) |
Synopsis Varieties of Iteration Theories by :
Author |
: Stephen L. Bloom |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 636 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783642780349 |
ISBN-13 |
: 3642780342 |
Rating |
: 4/5 (49 Downloads) |
Synopsis Iteration Theories by : Stephen L. Bloom
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.
Author |
: Julien A. Raboanary |
Publisher |
: |
Total Pages |
: |
Release |
: 1989 |
ISBN-10 |
: OCLC:1151353657 |
ISBN-13 |
: |
Rating |
: 4/5 (57 Downloads) |
Synopsis Iteration Theories, Data Types and Hoare Logic by : Julien A. Raboanary
Author |
: Ioannis K. Argyros |
Publisher |
: CRC Press |
Total Pages |
: 368 |
Release |
: 2018-05-04 |
ISBN-10 |
: 9781351408981 |
ISBN-13 |
: 1351408984 |
Rating |
: 4/5 (81 Downloads) |
Synopsis The Theory and Applications of Iteration Methods by : Ioannis K. Argyros
The Theory and Applications of Iteration Methods focuses on an abstract iteration scheme that consists of the recursive application of a point-to-set mapping. Each chapter presents new theoretical results and important applications in engineering, dynamic economic systems, and input-output systems. At the end of each chapter, case studies and numerical examples are presented from different fields of engineering and economics. Following an outline of general iteration schemes, the authors extend the discrete time-scale Liapunov theory to time-dependent, higher order, nonlinear difference equations. The monotone convergence to the solution is examined in and comparison theorems are proven . Results generalize well-known classical theorems, such as the contraction mapping principle, the lemma of Kantorovich, the famous Gronwall lemma, and the stability theorem of Uzawa. The book explores conditions for the convergence of special single- and two-step methods such as Newton's method, modified Newton's method, and Newton-like methods generated by point-to-point mappings in a Banach space setting. Conditions are examined for monotone convergence of Newton's methods and their variants. Students and professionals in engineering, the physical sciences, mathematics, and economics will benefit from the book's detailed examples, step-by-step explanations, and effective organization.
Author |
: Ioannis K. Argyros |
Publisher |
: CRC Press |
Total Pages |
: 471 |
Release |
: 2022-01-20 |
ISBN-10 |
: 9781000536751 |
ISBN-13 |
: 1000536750 |
Rating |
: 4/5 (51 Downloads) |
Synopsis The Theory and Applications of Iteration Methods by : Ioannis K. Argyros
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.
Author |
: György I. Targonski |
Publisher |
: |
Total Pages |
: 304 |
Release |
: 1981 |
ISBN-10 |
: UOM:39015017313597 |
ISBN-13 |
: |
Rating |
: 4/5 (97 Downloads) |
Synopsis Topics in Iteration Theory by : György I. Targonski
Author |
: Hugo de Vries |
Publisher |
: |
Total Pages |
: 708 |
Release |
: 1910 |
ISBN-10 |
: UCSD:31822016994915 |
ISBN-13 |
: |
Rating |
: 4/5 (15 Downloads) |
Synopsis The Mutation Theory: The origin of varieties by mutation by : Hugo de Vries
Author |
: Louis A. Hageman |
Publisher |
: Elsevier |
Total Pages |
: 409 |
Release |
: 2014-06-28 |
ISBN-10 |
: 9781483294377 |
ISBN-13 |
: 1483294374 |
Rating |
: 4/5 (77 Downloads) |
Synopsis Applied Iterative Methods by : Louis A. Hageman
Applied Iterative Methods
Author |
: W Forg-rob |
Publisher |
: World Scientific |
Total Pages |
: 298 |
Release |
: 1996-07-03 |
ISBN-10 |
: 9789814547895 |
ISBN-13 |
: 9814547891 |
Rating |
: 4/5 (95 Downloads) |
Synopsis Iteration Theory - Proceedings Of The European Conference by : W Forg-rob
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.
Author |
: Yousef Saad |
Publisher |
: SIAM |
Total Pages |
: 537 |
Release |
: 2003-04-01 |
ISBN-10 |
: 9780898715347 |
ISBN-13 |
: 0898715342 |
Rating |
: 4/5 (47 Downloads) |
Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad
Mathematics of Computing -- General.