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Advances in the efficiency of computational methods and applications

Author: Ioannis K Argyros
Publisher: River Edge, NJ : World Scientific, ©2000.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This textbook creates a framework for the study of optimal iterative procedures for problems that are solved approximately. Emphasis is given to the efficiency of numerical methods, and there are  Read more...

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Document Type: Book
All Authors / Contributors: Ioannis K Argyros
ISBN: 9810243367 9789810243364
OCLC Number: 44046811
Description: xi, 546 pages : illustrations ; 23 cm
Contents: Divided Differences --
Partially Ordered Topological Spaces --
Divided Difference in a Linear Space --
Divided Differences in a Banach Space --
Divided Differences and Monotone Convergence --
Divided Differences and Frechet-derivatives --
Constants and Functions Appearing in Numerical Methods --
Lipschitz Conditions and Norm Estimate --
Lipschitz Conditions for Uryson Operators --
The Case X = C --
The Case X = L[infinity] --
The Case X = Lp, 1 [left than or equal] p [left than or equal] 2 --
The Case X = Lp, 2 [p [[infinity] --
Convergence and Error Analysis for Iterative Methods --
A Unified Approach for Constructing Inexact Newton-Like Methods --
Semilocal Convergence Results for Newton-Like Methods --
A Fixed Point Proof for Extended Newton-Like Methods --
A Generalization of Edelstein's Theorem on Fixed Points --
Weak Conditions for the Convergence of Iterations --
Monotone Convergence of Implicit Newton-Like Methods --
General Ways of Constructing Accelerating Newton-Like Iterations --
A Generalization of Ostrowski's Theorem on Fixed Points --
Special Topics --
Convergence Rates for Inexact Newton-Like Methods at Singular Points --
Smoothness and Inexact Newton-Like Methods --
Convergence Domains Using Outer or Generalized Inverses --
Convergence in Generalized Banach Spaces --
Convergence of Inexact Newton-Like Methods with a Convergence Structure --
Improving the Rate of Convergence --
Controlling the Residuals of Inexact Newton-Like Methods --
Discretization of Newton-Like Methods.
Responsibility: Ioannis K. Argyros.

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