Téléchargez le livre : Newton's Method: an Updated Approach of Kantorovich's Theory

Newton's Method: an Updated Approach of Kantorovich's Theory

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Éditeur :

Birkhäuser


Collection :

Frontiers in Mathematics

Paru le : 2017-07-05

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Description

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.
Pages
166 pages
Collection
Frontiers in Mathematics
Parution
2017-07-05
Marque
Birkhäuser
EAN papier
9783319559759
EAN PDF
9783319559766
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
16
Taille du fichier
1905 Ko
Prix
60,12 €

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