Table of Contents
Table of Contents
Preface
Chapter 1. Definition, Existence and Uniqueness of Equilibrium in Oligopoly Markets
Chapter 2. Numerical Methodology for Solving Oligopoly Problems
Chapter 3. Global Convergence of Iterative Methods with Inverses
Chapter 4. Ball Convergence of Third and Fourth Order Methods for Multiple Zeros
Chapter 5. Local Convergence of Two Methods for Multiple Roots Eight Order
Chapter 6. Choosing the Initial Points for Newton’s Method
Chapter 7. Extending the Applicability of an Ulm-Like Method under Weak Conditions
Chapter 8. Projection Methods for Solving Equations with a Non-differentiable Term
Chapter 9. Efficient Seventh Order of Convergence Solver
Chapter 10. An Extended Result of Rall-Type for Newton’s Method
Chapter 11. Extension of Newton’s Method for Cone Valued Operators
Chapter 12. Inexact Newton’s Method under Robinson’s Condition
Chapter 13. Newton’s Method for Generalized Equations with Monotone Operators
Chapter 14. Convergence of Newton’s method and uniqueness of the solution for Banach Space Valued Equations
Chapter 15. Convergence of Newton’s method and uniqueness of the solution for Banach Space Valued Equations II
Chapter 16. Extended Gauss-Newton Method: Convergence and Uniqueness Results
Chapter 17. Newton’s Method for Variational Problems: Wang’s g-condition and Smale’s a-theory
Chapter 18. Extending the Applicability of Newton’s Method
Chapter 19. On the Convergence of a Derivative Free Method using Recurrent Functions
Chapter 20. Inexact Newton-like Method under Weak Lipschitz Conditions
Chapter 21. Ball Convergence Theorem for Inexact Newton Methods in Banach Space
Chapter 22. Extending the Semi-Local Convergence of a Stirling-Type Method
Chapter 23. Newton’s Method for Systems of Equations with Constant Rank Derivatives
Chapter 24. Extended Super-Halley Method
Chapter 25. Chebyshev-Type Method of Order Three
Chapter 26. Extended Semi-Local Convergence of the Chebyshev-Halley Method
Chapter 27. Gauss-Newton-Type Schemes for Undetermined Least Squares Problems
Glossary of Symbols
