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Author:   Ioannis Konstantinos Argyros (ton, Oklahoma, USA) ,  Angel Alberto Magreñán (Universidad Internacional de La Rioja, Logrono, Spain)
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.521kg
ISBN:  

9780367782290

ISBN 10:   0367782294
Pages:   365
Publication Date:   31 March 2021
Audience:   College/higher education ,  General/trade ,  Tertiary & Higher Education ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Halley’s method. Newton’s method for k-Fréchet differentiable operators. Nonlinear Ill-posed quations. Sixth-order iterative methods. Local convergence and basins of attraction of a two-step Newton like method for equations with solutions of multiplicity greater than one. Extending the Kantorovich theory for solving equations. Robust convergence for inexact Newton method. Inexact Gauss-Newton-like method for least square problems. Lavrentiev Regularization Methods for Ill-posed Equations. King-Werner-type methods of order 1+sqrt(2). Generalized equations and Newton’s method. Newton’s method for generalized equations using restricted domains. Secant-like methods. King-Werner-like methods free of derivatives. Müller’s method. Generalized Newton Method with applications. Newton-secant methods with values in a cone. Gauss-Newton method with applications to convex optimization. Directional Newton methods and restricted domains. Gauss-Newton method for convex optimization. Ball Convergence for eighth order method. Expanding Kantorovich’s theorem for solving generalized equations.

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Ioannis Konstantinos Argyros, Angel Alberto Magreñán

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