Convergence and Applications of Newton-type Iterations
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...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
2008, 2008
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| Edition: | 1st ed. 2008 |
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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