Iterative Methods and Their Dynamics with Applications - Argyros, Ioannis Konstantinos
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Présentation Iterative Methods And Their Dynamics With Applications de Argyros, Ioannis Konstantinos Format Relié
- Livre Loisirs
Résumé :
In this book you can find theory and applications of classical and new iterative root-finding algorithms and families of iterative methods. Some recently discovered graphical tools are presented, studied, and used in order to find the best methods in convergence terms. Moreover, the differences between real and complex behaviors are presented. Finally, some real applications of the methods appear in the last chapter....
Biographie:
Ioannis Konstantinos Argyros, Angel Alberto Magre??n...
Sommaire: Halley's method. Newton's method for k-Fr?chet 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. M?ller'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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