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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Newton's Method: An Updated Approach of Kantorovich's Theory

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

Ezquerro Fernández, José Antonio
Hernández Verón, Miguel Ángel

Paperback

Series: Frontiers in Mathematics

General Mathematics

ISBN10: 3319559753
ISBN13: 9783319559759
Publisher: Birkhauser
Published: Jul 14 2017
Pages: 166
Weight: 0.65
Height: 0.38 Width: 6.69 Depth: 9.61
Language: English

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.

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