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Newton´s Method: an Updated Approach of Kantorovich´s Theory
Jose Antonio Ezquerro Fernandez
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Description for Newton´s Method: an Updated Approach of Kantorovich´s Theory
Paperback. Series: Frontiers in Mathematics. Num Pages: 166 pages, 13 colour illustrations, biography. BIC Classification: PBKL; PBKS. Category: (P) Professional & Vocational. Dimension: 240 x 168. .
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 ... Read more
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 ... Read more
Product Details
Publisher
Birkhäuser
Format
Paperback
Publication date
2017
Series
Frontiers in Mathematics
Condition
New
Number of Pages
166
Place of Publication
Basel, Switzerland
ISBN
9783319559759
SKU
V9783319559759
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Jose Antonio Ezquerro Fernandez
Jose Antonio Ezquerro is Professor at the Department of Mathematics and Computation at the University of La Rioja in Spain. M. A. Hernandez-Veron is Professor at the Department of Mathematics and Computation at the University of La Rioja in Spain.
Reviews for Newton´s Method: an Updated Approach of Kantorovich´s Theory
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 ... Read more