Convergence and Applications of Newton-type Iterations

• Κύριος συγγραφέας: Argyros, Ioannis K. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2008.
• Θέματα: Mathematics.; Functional analysis.; Computer mathematics.; Numerical analysis.; Numerical Analysis.; Computational Mathematics and Numerical Analysis.; Functional Analysis.

Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods. This monograph provides a comprehensive study of both basic theory and new results in the area. Each chapter contains new theoretical results and imp...

Πίνακας περιεχομένων:

• Operators and Equations
• The Newton Kantorovich (NK) Method
• Applications of the Weaker Version of the NK Theorem
• Special Methods
• Newton-like Methods
• Analytic Computational Complexity We Are Concerned with the Choice of Initial Approximations
• Variational Inequalities
• Convergence Involving Operators with Outer or Generalized Inverses
• Convergence on Generalized Banach Spaces: Improving Error Bounds and Weakening of Convergence Conditions
• Point to Set Mappings
• The Newton Kantorovich Theorem and Mathematical Programming.