Iterative Methods and Their Dynamics with Applications

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? Alberto Magre?8
A. Alberto Magrenan
A. Alberto Magrenanb
A01=Angel Alberto Magrenan
A01=Ioannis Konstantinos Argyros
advanced nonlinear analysis techniques
Alberto Magrenan
Author_Angel Alberto Magrenan
Author_Ioannis Konstantinos Argyros
Banach Lemma
Banach Space
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complex dynamics
computational efficiency
computational mathematics
convergence analysis
Convergence Ball
convergence criteria
convex optimization methods
Differentiable Operator
dynamical study
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Fatou Set
fixed point theory
fractals
Gauss Newton Method
Generalized Newton's Method
Generalized Newton’s Method
Halley's Method
Halley’s Method
ill-posed problems
Ioannis K. Argyros
iterative algorithms
iterative methods
Julia Set
Kantorovich Theorem
Lipschitz Condition
Lipschitz Type Conditions
Local Convergence
Local Convergence Analysis
Local Convergence Results
Maximal Monotone
Newton's Method
Newton’s Method
nonlinear analysis
nonlinear equation solving
Normal Cone Mapping
numerical algorithm
Optimal Order Error Estimate
real dynamics
rood-finding methods
Semilocal Convergence
Semilocal Convergence Analysis
Semilocal Convergence Result
Sufficient Convergence Conditions
Variational Inequality
Variational Inequality Problem

Product details

  • ISBN 9780367782290
  • Weight: 521g
  • Dimensions: 156 x 234mm
  • Publication Date: 31 Mar 2021
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference book for advanced computational method in nonlinear analysis, this book is a collection of the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces and presents several applications and connections with fixed point theory. It contains an abundant and updated bibliography and provides comparisons between various investigations made in recent years in the field of computational nonlinear analysis.

The book also provides recent advancements in the study of iterative procedures and can be used as a source to obtain the proper method to use in order to solve a problem. The book assumes a basic background in Mathematical Statistics, Linear Algebra and Numerical Analysis and may be used as a self-study reference or as a supplementary text for an advanced course in Biosciences or Applied Sciences. Moreover, the newest techniques used to study the dynamics of iterative methods are described and used in the book and they are compared with the classical ones.

Ioannis Konstantinos Argyros, Angel Alberto Magreñán

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