It takes the average reader 3 hours and 15 minutes to read Mild Differentiability Conditions for Newton's Method in Banach Spaces by José Antonio Ezquerro Fernandez
Assuming a reading speed of 250 words per minute. Learn more
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.
Mild Differentiability Conditions for Newton's Method in Banach Spaces by José Antonio Ezquerro Fernandez is 189 pages long, and a total of 48,951 words.
This makes it 64% the length of the average book. It also has 60% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 27 minutes to read Mild Differentiability Conditions for Newton's Method in Banach Spaces aloud.
Mild Differentiability Conditions for Newton's Method in Banach Spaces is suitable for students ages 10 and up.
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