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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.
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This monograph examines a variety of iterative methods in Banach spaces with a focus on those obtained from the Newton method. Convexity in Newton's Method will appeal to... Læs mere
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This book shows the importance of studying semilocal convergence in iterative methods through Newton's method and addresses the most important aspects of the Kantorovich's theory including implicated studies.