Table of Contents
Table of Contents
Preface
Chapter 1. Local Convergence for a Family of Super-Halley Methods
Chapter 2. A Unified Local Convergence Analysis of Newton-Like Methods
Chapter 3. Ball Convergence Theorems for Fourth-Order Variants of Newton’s Method
Chapter 4. Local Convergence Theorems for Some Third and Fourfth Order Methods
Chapter 5. Ball Convergence of Potra-Ptak-Type Method
Chapter 6. Householder-Type Iterative Free from Second Derivative
Chapter 7. Convergence for a Newton-Jarratt-Like Composition
Chapter 8. Convergence for a Novel Iterative Method Free from the Second Derivative
Chapter 9. Ball Convergence Theorems for Fourth-Order Variants of Newton’s Method
Chapter 10. J. Chen’s One Step Third-Order Iterative Methods
Chapter 11. Ball Convergence for a Sixteenth Order Iterative Methods
Chapter 12. Convergence for a Jarratt-Like Method for Solving Equations
Chapter 13. Convergence of a Sixth Order Ostrowski-Like Method for Solving Equations
Chapter 14. Convergence for a Householder-Like Method
Chapter 15. Local Convergence of the Two-Step Chebyshev-Like Method
Chapter 16. Comparison between Two Sixth Order Newton-Jarratt Method
Chapter 17. Newton’s Method Using Gauss-Legendre Formulas
Chapter 18. Composite Newton-Traub Method
Chapter 19. Convergence of a Four Step Ninth Order Method
Chapter 20. Convergence of an Eighth-Order Method in Banach Space
Chapter 21. Convergence for a General Family of Optimal Fourth-Order Methods
Chapter 22. Gauss-Newton Method Using Restricted Convergence Domains
Chapter 23. Proximal Gauss-Newton Method Using Restricted Convergence Domains
Chapter 24. Hybrid High Convergence Order Iterative Methods
Chapter 25. High Convergence Order Methods on Riemannian Manifolds
Chapter 26. Convergence Analysisconvergence Analysis of a Muller Secant-Type Method
Chapter 27. Convergence of Bilinear Operator
Chapter 28. Convergence Analysis for Semi-Smooth Newton-Type Methods
Chapter 29. Hybrid High Convergence Order Iterative Methods
Chapter 30. the King-Werner Method of Order
Chapter 31. Extending the Applicability of King-Werner-Type Methods
Chapter 32. Achieving Higher Order of Convergence for Solving Systems of Equations
Chapter 33. Gauss-Newton Method for Convex Composite Optimization
Chapter 34. High Order Method Based on the Decomposition Technique
Chapter 35. Kantorovich-Type Extensions for Newton Method
Chapter 36. Divided Difference-Based Iterative Methods
Chapter 37. Convergence for the Osada Method
Chapter 38. Convergence for Newton-Kantorovich-Like Theorems
Chapter 39. Unified Convergence of Fourth Order Solvers
Chapter 40. Extending the Kantorovich Theorem
Chapter 41. Two-Step Iterative Methods Free of Derivatives
Chapter 42. Inexact Newton-Type Methods
Chapter 43. Ball Convergence Theorems for Fourth-Order Variants of Newton’s Method
Index
