Convexity in Newton's Method

von José Antonio Ezquerro Fernández, Miguel Ángel Hernández Verón

242 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

This monograph examines a variety of iterative methods in Banach spaces with a focus on those obtained from the Newton method. Together with the authors’ previous two volumes on the topic of the Newton method in Banach spaces, this third volume significantly extends Kantorovich's initial theory. It accomplishes this by emphasizing the influence of the convexity of the function involved, showing how improved iterative methods can be obtained that build upon those introduced in the previous two volumes. Each chapter presents theoretical results and illustrates them with applications to nonlinear equations, including scalar equations, integral equations, boundary value problems, and more. Convexity in Newton's Method will appeal to researchers interested in the theory of the Newton method as well as other iterative methods in Banach spaces.

• Reihe: Frontiers in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Funktionalanalysis und Abwandlungen
• ISBN: 9783031857539
• Sprache: Englisch
• Erscheinungsdatum: 13.05.2025
• Größe: 24 x 16.8 cm
• Verlag: Springer International Publishing