Table of Contents
Table of Contents
Dedication
Preface
Chapter 1. Convergence of Halley’s Method Under Centered Lipschitz Condition on the Second Fréchet Derivative
Chapter 2. Semilocal Convergence of Steffensen-type Algorithms
Chapter 3. Some Weaker Extensions of the Kantorovich Theorem for Solving Equations
Chapter 4. Improved Convergence Analysis of Newton’s Methods
Chapter 5. Extending the Applicability of Newton’s Method
Chapter 6. Extending the Applicability of Newton’s Method for Sections in Riemannian Manifolds
Chapter 7. Two-step Newton Methods
Chapter 8. Discretized Newton-Tikhonov Method
Chapter 9. Relaxed Secant-type Methods
Chapter 10. Newton-Kantorovich Method for Analytic Operators
Chapter 11. Iterative Regularization Methods for Ill-posed Hammerstein Type Operator Equations
Chapter 12. Local Convergence of a Fifth Order Method in Banach Space
Chapter 13. Local Convergence of the Gauss-Newton Method
Chapter 14. Expanding the Applicability of the Gauss-Newton Method for Convex Optimization Under a Majorant Condition
Chapter 15. An Analysis of Lavrentiev Regularization Methods and Newton-type Iterative Methods for Nonlinear Ill-posed Hammerstein-type Equations
Chapter 16. Local Convergence of a Multi-point-parameter Newton-like Methods in Banach Space
Chapter 17. On an Iterative Method for Unconstrained Optimization
Chapter 18. Inexact two-point Newton-like Methods Under General Conditions
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Index
