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Convexity in Newton's Method

By Hernández Verón, Miguel Ángel

Convexity in Newton's Method Mathematics

Convexity in Newton's Method

0 - Default Title
Description
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.
Product details
Binding:
Paperback
Number of Pages:
256
Release Date:
2025-05-13
Publication Date:
2025-05-13
Publisher:
Birkhäuser
Languages:
Original: English
ISBN10:
3031857534
ISBN13:
9783031857539
GPSR Manufacturer Reference:
[email protected]
Weight:
436 g
Height:
168 cm
Width:
240 cm
Thickness:
15 cm
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