Name: Mild Differentiability Conditions for Newton's Method in Banach Spaces (en Inglés)
Price: 77.09 USD
Availability: InStock
Author: Ezquerro Fernandez, José Antonio ; Hernández Verón, Miguel Ángel
ISBN: 9783030487010

portada Mild Differentiability Conditions for Newton's Method in Banach Spaces (en Inglés)

Formato

Libro Físico

Autor

José Antonio Ezquerro Fernández

Miguel Ángel Hernández Verón

Editorial

Birkhauser

Idioma

Inglés

N° páginas

178

Encuadernación

Tapa Blanda

Dimensiones

24.4 x 17.0 x 1.0 cm

Peso

0.32 kg.

ISBN13

9783030487010

Categorías

Sistemas numéricos
Análisis funcional y transformaciones

Mild Differentiability Conditions for Newton's Method in Banach Spaces (en Inglés)

José Antonio Ezquerro Fernández (Autor) · Miguel Ángel Hernández Verón (Autor) · Birkhauser · Tapa Blanda

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Reseña del libro "Mild Differentiability Conditions for Newton's Method in Banach Spaces (en Inglés)"

In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator involved. The authors' technique relies on the construction of a scalar sequence, not majorizing, that satisfies a system of recurrence relations, and guarantees the convergence of the method. The application is user-friendly and has certain advantages over Kantorovich's majorant principle. First, it allows generalizations to be made of the results obtained under conditions of Newton-Kantorovich type and, second, it improves the results obtained through majorizing sequences. In addition, the authors extend the application of Newton's method in Banach spaces from the modification of the domain of starting points. As a result, the scope of Kantorovich's theory for Newton's method is substantially broadened. Moreover, this technique can be applied to any iterative method. This book is chiefly intended for researchers and (postgraduate) students working on nonlinear equations, as well as scientists in general with an interest in numerical analysis.