Convexity in Newton's Method

José Antonio Ezquerro Fernández

ISBN 10: 3031857534 / ISBN 13: 9783031857539

Published by Springer, Berlin, Springer Nature Switzerland, Birkhäuser, 2025

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 242 pp. Englisch.

Seller Inventory # 9783031857539

Bibliographic Details

• Title: Convexity in Newton's Method
• Publisher: Springer, Berlin, Springer Nature Switzerland, Birkhäuser
• Publication Date: 2025
• Language: English
• ISBN 10: 3031857534
• ISBN 13: 9783031857539
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 168H x 36D millimeters 240 millimeters width by 168 millimeters height by 36 millimeters depth

About this title

Synopsis

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.