Table of Contents
Preface
Author Contact Information
Chapter 1. Oligopoly
Chapter 2. Extended Recurrence Relations for Newton-Type Method
Chapter 3. A Kantorovich-type Extension for the Inexact Newton Method
Chapter 4. Extended Gauss-Newton Method for Convex Composite Optimization
Chapter 5. Extended Two Step Fourth Order Method
Chapter 6. Extended Semi-local Convergence for a Super-Halley-Type Method for Fourth Order
Chapter 7. Semi-local Convergence of a Deformed Euler-Halley Method
Chapter 8. Deformed Halley Method for Solving Equations
Chapter 9. Extended Semilocal Convergence for Chebyshev-Like Methods
Chapter 10. Extended Local Convergence for a Chebyshev-Halley-Chun Method
Chapter 11. Extended Local Convergence for a Chebyshev-Halley-Chun II Method
Chapter 12. Extended Multipoint Jarratt Method
Chapter 13. Local Convergence for a Chebyshev-Like Method Free of Bilinear Operator
Chapter 14. Extended Local Convergence for a Jarratt-Type Method
Chapter 15. Local Convergence for a Fourth Order Method with Banach Space Valued Operators
Chapter 16. Local Convergence Analysis of a Fourth Order Method II with Banach Space Valued Operators
Chapter 17. Local Convergence Analysis of Fourth Order Methods III with Banach Space Valued Operators
Chapter 18. Local Convergence for a Two-Step Method Free of Derivative
Chapter 19. Two-Step Method with Five Parameters
Chapter 20. On a Jarratt-Type Three-Step Method
Chapter 21. Extended Semi-local Convergence of Halley’s Method
Chapter 22. Extended Newton-type Methods on Riemannian Manifolds for Determining a Singularity of a Vector Field
Chapter 23. Extended Smale’s α-Theory for Inexact Newton Method and the Gamma Condition
Chapter 24. Extended Semi-local Convergence for a Deformed Newton’s Method of Third Order and the Gamma Condition
Chapter 25. Extended Chebyshev-type Method
Chapter 26. Extended Convergence for a Class of High Order Methods
Chapter 27. Newton-type Method Under Uniform Convergence Conditions
Chapter 28. On a Two Step Third Order Solver
Chapter 29. Extended Convergence of Halley’s Method under Kantorovich’s Majorants
Chapter 30. Solution of Polynomial Equations Using Newton’s Method
Glossary of Symbols
