The Theory and Applications of Iteration Methods
2nd Edition
Published on 20. January 2022
470 pages
978-1-000-53675-1 (ISBN)
Description
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.
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.
More details
Edition
2nd edition
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
38 Tables, black and white
ISBN-13
978-1-000-53675-1 (9781000536751)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Ioannis K. Argyros
The Theory and Applications of Iteration Methods
Book
10/2024
2nd Edition
CRC Press
€80.10
Shipment within 15-20 days
Ioannis K. Argyros
The Theory and Applications of Iteration Methods
Book
01/2022
2nd Edition
CRC Press
€243.40
Shipment within 15-20 days
Person
Ioannis K. Argyros is a professor of Mathematics in the Department of Mathematical Sciences, Cameron University, Lawton, Oklahoma, USA. He received his B.Sc.degree in 1979 from the University of Athens, Greece. In March 1982, he started his graduate studies and received his M.Sc. and Ph.D. in 1983 and 1984, respectively from the University of Georgia, Athens, GA, U.S.A.
Professor Argyros has published 31 books, over 1600 papers in Computational Sciences, and is an editor in a plethora of journals and an active reviewer of papers send by AMS and other peer reviewed journals. Meanwhile, his primary interests are in numerical functional analysis, numerical analysis, approximation theory, optimization theory, and applied mathematics.
Professor Argyros has published 31 books, over 1600 papers in Computational Sciences, and is an editor in a plethora of journals and an active reviewer of papers send by AMS and other peer reviewed journals. Meanwhile, his primary interests are in numerical functional analysis, numerical analysis, approximation theory, optimization theory, and applied mathematics.
Content
1. The Convergence of Algorithmic Models. 2. The Convergence of Iteration Sequences. 3. Monotone Convergence. 4. Comparison Theorems. 5. Extended Semi-Local Convergence of Newton's Method. 6. Extended local Convergence of Newton's Method. 7. Two Step Methods. 8. Multi Step Methods. 9. Multi Point Methods. 10. High Convergence Order Methods. 11. Special Methods.
