Newton's Method: an Updated Approach of Kantorovich's Theory (Paperback, 1st ed. 2017)

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. Kantorovich's theory for Newton's method used techniques of functional analysis to prove the semilocal convergence of the method by means of the well-known majorant principle. To gain a deeper understanding of these techniques the authors return to the beginning and present a deep-detailed approach of Kantorovich's theory for Newton's method, where they include old results, for a historical perspective and for comparisons with new results, refine old results, and prove their most relevant results, where alternative approaches leading to new sufficient semilocal convergence criteria for Newton's method are given. The book contains many numerical examples involving nonlinear integral equations, two boundary value problems and systems of nonlinear equations related to numerous physical phenomena. The book is addressed to researchers in computational sciences, in general, and in approximation of solutions of nonlinear problems, in particular.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Frontiers in Mathematics
Release date:	July 2017
First published:	2017
Authors:	Jose Antonio Ezquerro Fernandez • Miguel Angel Hernandez Veron
Dimensions:	240 x 168 x 17mm (L x W x T)
Format:	Paperback
Pages:	166
Edition:	1st ed. 2017
ISBN-13:	978-3-319-55975-9
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations Promotions
LSN:	3-319-55975-3
Barcode:	9783319559759

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