1st Edition
Iterative Methods and Their Dynamics with Applications A Contemporary Study
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.
Biography
Ioannis Konstantinos Argyros, Angel Alberto Magreñán
