Newton’s Method: an Updated Approach of Kantorovich’s Theory

• Κύριοι συγγραφείς: Ezquerro Fernández, José Antonio (Συγγραφέας), Hernández Verón, Miguel Ángel (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Σειρά: Frontiers in Mathematics,
• Θέματα: Mathematics.; Integral equations.; Operator theory.; Computer mathematics.; Operator Theory.; Computational Mathematics and Numerical Analysis.; Integral Equations.

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...

Πίνακας περιεχομένων:

• The classic theory of Kantorovich
• Convergence conditions on the second derivative of the operator
• Convergence conditions on the k-th derivative of the operator
• Convergence conditions on the first derivative of the operator.