Verwandte Artikel zu Newton’s Method: an Updated Approach of Kantorovich&#...
Inhaltsangabe
<P>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.</P>
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Críticas
“The text is easy to follow with full technical details given. Historical remarks are given throughout, which makes the reading especially interesting. The book also contains some numerical examples illustrating the theoretical analysis. It is a useful reference for researchers working on Newton method in Banach spaces.” (Bangti Jin, zbMATH 1376.65088, 2018)
“This book is well written and will be useful to researchers interested in the theory of Newton’s method in Banach spaces. Two of its merits have to be mentioned explicitly: the authors offer all details for the proofs of all the results presented in the book, and, moreover, they also include significant material from their own results on the theory of Newton's method which were carried out over many years of research work.” (Vasile Berinde, Mathematical Reviews, March, 2018)
Reseña del editor
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.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
- VerlagBirkhäuser
- Erscheinungsdatum2017
- ISBN 10 3319559753
- ISBN 13 9783319559759
- EinbandTapa blanda
- SpracheEnglisch
- Auflage1
- Anzahl der Seiten180
Neu kaufen
Diesen Artikel anzeigen
EUR 67,79
EUR 14,07 für den Versand von Vereinigtes Königreich nach USA
Versandziele, Kosten & DauerSuchergebnisse für Newton’s Method: an Updated Approach of Kantorovich&#...
Beispielbild für diese ISBN
Newton's Method: An Updated Approach of Kantorovich's Theory.
Anbieter: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Deutschland
Verkäuferbewertung 4 von 5 Sternen
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. Artikel-Nr. 5122BB
Anzahl: 2 verfügbar
Beispielbild für diese ISBN
Newton's Method: an Updated Approach of Kantorovich's Theory (Frontiers in Mathematics)
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. In English. Artikel-Nr. ria9783319559759_new
Anzahl: Mehr als 20 verfügbar
Foto des Verkäufers
Newton¿s Method: an Updated Approach of Kantorovich¿s Theory
ISBN 10: 3319559753
ISBN 13: 9783319559759
Neu
Taschenbuch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: 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. Artikel-Nr. 9783319559759
Anzahl: 1 verfügbar