Mild Differentiability Conditions for Newton s Method in Banach Spaces is popular PDF and ePub book, written by José Antonio Ezquerro Fernandez in 2020-07-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Mild Differentiability Conditions for Newton s Method in Banach Spaces can be Read Online from any device for your convenience.
Mild Differentiability Conditions for Newton s Method in Banach Spaces Book PDF Summary
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.
Detail Book of Mild Differentiability Conditions for Newton s Method in Banach Spaces PDF
- Author : José Antonio Ezquerro Fernandez
- Release : 03 July 2020
- Publisher : Springer Nature
- ISBN : 9783030487027
- Genre : Mathematics
- Total Page : 189 pages
- Language : English
- PDF File Size : 11,8 Mb
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