Iterative Methods and Their Dynamics with Applications: A Contemporary Study
Autor Ioannis Konstantinos Argyros, Angel Alberto Magreñánen Limba Engleză Paperback – 31 mar 2021
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.
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Specificații
ISBN-13: 9780367782290
ISBN-10: 0367782294
Pagini: 365
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.52 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Locul publicării:Boca Raton, United States
ISBN-10: 0367782294
Pagini: 365
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.52 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Locul publicării:Boca Raton, United States
Cuprins
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.
Notă biografică
Ioannis Konstantinos Argyros, Angel Alberto Magreñán
Descriere
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