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. F
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. F
Ioannis Konstantinos Argyros, Angel Alberto Magreñán
Inhaltsangabe
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.
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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