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Newton’s Method: an Updated Approach of Kantorovich’s Theory (Frontiers in Mathematics) - Tapa blanda
Sinopsis
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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Acerca del autor
José Antonio Ezquerro is Professor at the Department of Mathematics and Computation at the University of La Rioja in Spain.
M. A. Hernández-Verón is Professor at the Department of Mathematics and Computation at the University of La Rioja in Spain.
De la contraportada
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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Newton's Method: An Updated Approach of Kantorovich's Theory.
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Cham, Birkhäuser., 2017
ISBN 10: 3319559753
ISBN 13: 9783319559759
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xii, 166 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Sprache: Englisch. Nº de ref. del artículo: 5122BB
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Newton's Method: an Updated Approach of Kantorovich's Theory (Frontiers in Mathematics)
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Newton¿s Method: an Updated Approach of Kantorovich¿s Theory
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Springer International Publishing Jul 2017, 2017
ISBN 10: 3319559753
ISBN 13: 9783319559759
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 180 pp. Englisch. Nº de ref. del artículo: 9783319559759
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Newton¿s Method: an Updated Approach of Kantorovich¿s Theory
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Springer International Publishing, Springer International Publishing, 2017
ISBN 10: 3319559753
ISBN 13: 9783319559759
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783319559759
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Newton?s Method : an Updated Approach of Kantorovich?s Theory
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Newton's Method: an Updated Approach of Kantorovich's Theory (Frontiers in Mathematics)
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Birkh�user 2017-07-14, 2017
ISBN 10: 3319559753
ISBN 13: 9783319559759
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Newton's Method: an Updated Approach of Kantorovich's Theory (Frontiers in Mathematics)
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Newton?s Method : an Updated Approach of Kantorovich?s Theory
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Newton?s Method : an Updated Approach of Kantorovich?s Theory
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Birkhäuser, 2017
ISBN 10: 3319559753
ISBN 13: 9783319559759
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Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
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Newton?s Method : an Updated Approach of Kantorovich?s Theory
Publicado por
Birkhäuser, 2017
ISBN 10: 3319559753
ISBN 13: 9783319559759
Antiguo o usado
Tapa blanda
Librería: GreatBookPricesUK, Woodford Green, Reino Unido
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Condición: As New. Unread book in perfect condition. Nº de ref. del artículo: 29043051
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