Theory and Applications of Iteration Methods

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A01=Ioannis K. Argyros
advanced mathematical modeling
algorithmic
Author_Ioannis K. Argyros
Ball Convergence
Banach Lemma
Banach Space
Bratu Problem
Category=PBKJ
Category=PBW
Category=UYD
COC
computational mathematics
convergence
Convergence Analysis
Differentiable Operator
differential
engineering applications
eq_bestseller
eq_computing
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
equations
Ferenc Szidarovszky
Initial Point
Iteration Method
iterative algorithms
iterative techniques for scientific computing
Lipschitz Conditions
Lipschitz Constants
Lipschitz Continuity
Lipschitz Type Conditions
Local Convergence
Local Convergence Analysis
Local Convergence Results
Minimal Positive Solution
model
monotone
Multiple Precision Arithmetic
newton
Newton's Method
nonlinear equations solving
numerical analysis methods
Ordinary Differential Equations
pol
scheme
Semilocal Convergence
sequence
Sixth Order Scheme
Smallest Positive Solution
Variational Inequality Problem
Vice Versa

Product details

  • ISBN 9780367651015
  • Weight: 784g
  • Dimensions: 156 x 234mm
  • Publication Date: 21 Jan 2022
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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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.

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.

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