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Titlebook: Newton’s Method: an Updated Approach of Kantorovich’s Theory; José Antonio Ezquerro Fernández,Miguel Ángel Herná Book 2017 Springer Intern

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发表于 2025-3-21 19:39:40 | 显示全部楼层 |阅读模式
书目名称Newton’s Method: an Updated Approach of Kantorovich’s Theory
编辑José Antonio Ezquerro Fernández,Miguel Ángel Herná
视频video
概述Up-to-date account of Kantorovich´s theory for Newton´s method.Starts with a detailed presentation of Kantorovich´s approach and ends with new results and alternative approaches.Contains many numerica
丛书名称Frontiers in Mathematics
图书封面Titlebook: Newton’s Method: an Updated Approach of Kantorovich’s Theory;  José Antonio Ezquerro Fernández,Miguel Ángel Herná Book 2017 Springer Intern
描述.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..
出版日期Book 2017
关键词Newton’s Method; Kantorovich’s Theory; Semilocal Convergence; Majorizing Sequence; Error Estimates; Order
版次1
doihttps://doi.org/10.1007/978-3-319-55976-6
isbn_softcover978-3-319-55975-9
isbn_ebook978-3-319-55976-6Series ISSN 1660-8046 Series E-ISSN 1660-8054
issn_series 1660-8046
copyrightSpringer International Publishing AG 2017
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发表于 2025-3-21 20:52:10 | 显示全部楼层
Book 2017s 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 r
发表于 2025-3-22 04:23:28 | 显示全部楼层
1660-8046 ew results and alternative approaches.Contains many numerica.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 Newto
发表于 2025-3-22 05:37:57 | 显示全部楼层
haffung,Produktion und Distribution zu schaffen. SCM hat zum Ziel, die Kosten und Durchlaufzeiten in der Lieferkette zu senken sowie die Lieferperformance und Kundenzufriedenheit zu erhöhen. Dies erfordert die optimierte Zusammenarbeit in der Wertschöpfungskette mit einem durchgängigen Informationsf
发表于 2025-3-22 09:30:18 | 显示全部楼层
José Antonio Ezquerro Fernández,Miguel Ángel Hernández Verónen vertreten. Fast alle Unternehmensberatungen beziehen logistikrelevante Über- gungen in ihre Untersuchungen ein. Universitäten, Fachhochschulen und Fa- schulen bieten theorie- und praxisorientierte Bildungsgänge zur Logistik an und die Zahl der entsprechenden Publikationen steigt exponentiell. Neb
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sich zunehmend zum entscheidenden Wettbewerbsfaktor. Ausgehend von Methoden zur Analyse des Ist-Zustandes und zur Definition von Zielsystemen werden in diesem didaktisch gut konzipierten Lehrbuch alle wichtigen Konzepte des Logistikmanagements konkret, ausführlich und leicht verständlich erklärt. Z
发表于 2025-3-22 23:44:54 | 显示全部楼层
The classic theory of Kantorovich,le of Banach, and later improved to semilocal quadratic convergence in 1948/49 (the Newton-Kantorovich theorem) [47, 49]. Also in 1949, Mysovskikh [61] gave a much simpler independent proof of semilocal quadratic convergence under slightly different theoretical assumptions, which are exploited in mo
发表于 2025-3-23 01:31:05 | 显示全部楼层
Convergence conditions on the second derivative of the operator,nditions for the operator involved. In Chapter 1, we have seen that the application of the majorant principle of Kantorovich is not easy if condition (A2) is not satisfied. For this, we have introduced a more general definition of majorant function than that given by Kantorovich and, from Theorem 1.
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