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