The Theory and Applications of Iteration Methods

Ioannis K. Argyros (ton, Oklahoma, USA)

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English

CRC Press
21 January 2022

Differential calculus & equations; Applied mathematics; Systems analysis & design

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.

By: Ioannis K. Argyros (ton Oklahoma USA)
Imprint: CRC Press
Country of Publication: United Kingdom
Edition: 2nd edition
Dimensions: Height: 234mm, Width: 156mm,
Weight: 784g
ISBN: 9780367651015
ISBN 10: 0367651017
Pages: 452
Publication Date: 21 January 2022
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

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.