Table of Contents
Table of Contents
Preface
Acknowledgements
Chapter 1. A Family of Cubically Convergent Methods
Chapter 2. Characterization of Some Newton-Like Methods
Chapter 3. Newton’s Method Defined on Not Necessarily Bounded Domains
Chapter 4. Local Convergence of a Class of Multi-Point Super–Halley Methods
Chapter 5. ULM’s-Like Method under Weak Convergence Conditions
Chapter 6. Newton like Method Free of Bilinear Operators
Chapter 7. On the Local Convergence of a Secant like Method
Chapter 8. Extending the Applicability of Newton’s Method
Chapter 9. A Derivative Free Solver in Banach Space
Chapter 10. Convergence for Two Optimal Eighth-Order Methods
Chapter 11. Local Convergence of an Eighth-Order Method
Chapter 12. An Efficient Class of Fourth-Order Jarratt-Type Methods
Chapter 13. Unified Local Convergence for a Certain Family of Methods
Chapter 14. Ball Convergence for EI15th-Order Variants of Hansenpatrick’s Family
Chapter 15. Extended Local Convergence of Newton-Type Methods
Chapter 16. Local Analysis of an Ostrowski-Like Method
Chapter 17. Local Convergence for Multipoint Methods
Chapter 18. Choosing Good Starting Points for the Convergence of Newton’s Method
Chapter 19. Local Convergence of a Tri-Parametric Eighth 18DER Method
Chapter 20. Ball Convergence for Ostrowski-Like Method with Accelerated Eighth Order Convergence
Chapter 21. A Traub-Steffensen-Like Composition for Banach Space Valued Operators
Chapter 22. A Novel Traub-Steffensen Three Step Iterative Method Free Of Derivatives
Chapter 23. Extended Semilocal Convergence of the NHSS Method under Generalized Lipschitz Condition
Chapter 24. A Novel Traub-Steffensen Three Step Iterative Method Free Of Derivatives
Chapter 25. Extended Local Convergence of an Efficient Sixth Order Method
Chapter 26. Traub-Steffensen-Type Solvers for Nonlinear Equations
Chapter 27. Unified Local Convergence for Third Order Methods
Chapter 28. Improved Error Bounds for Newton-Type Solvers-I
Chapter 29. Improved Error Bounds for Newton-Type Solvers-II
Chapter 30. Comparing the Extended Yamamoto’s Error Bounds for Newton’s Solver
Chapter 31. Extended Newton’s Method for Nonsmooth Operators
Chapter 32. Extended and Unified Convergence Theory for Iterative Processes
Chapter 33. Comparison of Two Sixth Order Solvers Using the First Derivative
Chapter 34. Efficient Third Convergence Order Method for Solving Nonlinear Systems
Chapter 35. On the Local Convergence of an Efficient Third Convergence Order Method
Chapter 36. Extended Convergence for Newton-Like Solvers
Chapter 37. Ball Convergence of Schröder-Like Methods for Multiple Roots
Chapter 38. Ball Convergence of Eight Order Methods for Multiple Roots
Chapter 39. Fourth Order Newton-Type Methods for Roots of Multiplicity
Chapter 40. Gauss-Newton Solvers with Projections for Solving Least Squares Problems
Chapter 41. Extended Ball Convergence Results for Newton’s Solver under Hölder-Like Conditions
Chapter 42. Ball Convergence for Traub-Steffensen-Chebyshev Solver
Chapter 43. Extended Ball Convergence of the Gauss-Newton Solver for Injective-Overdetermined Systems of Equations
Chapter 44. Extended Ball Convergence for Newton Conditional Gradient Solver
Chapter 45. Extended Ball Convergence of the Gauss- Newton-Like Solver for Injective-Verdetermined Systems of Equations
Chapter 46. Extended Ball Convergence for Inexact Newton-Like Conditional Gradient Solver
Chapter 47. Extended Ball Convergence of the Gauss-Newton Solver
Chapter 48. Extended Semi-Local Convergence of the Gauss-Newton Solver for Convex Composite Optimization
Chapter 49. Extended Local Convergence Analysis of a Proximal Gauss-Newton Procedure
Chapter 50. Extended Local Convergence of the Gauss-Newton Method
Chapter 51. Solvers for Problems with Small Divisors
Chapter 52. A Two Step Iterative Scheme with a Free Parameter
Chapter 53. A Family of Unified High Convergence Order Methods
Chapter 54. Three Step Seventh Order Method for Solving Equations
Chapter 55. A Unified Family of Jarratt-Like Iterative Methods in Banach Space
Chapter 56. Extended Local Convergence for Newton Simpson’s 3/8th Solver
Chapter 57. On the Harmonic Mean and Midpoint Newton’s Solver
Chapter 58. Comparing the Local Convergence of Three Newtonmean-Type Solvers
Chapter 59. Comparing Two High Convergent Order Methods
Chapter 60. Generalized Solvers for Equations
Chapter 61. On the Harmonic Mean and Midpoint Newton’s Solver-II
Chapter 62. Extended Jarratt-Type Solver
Chapter 63. Extended Chebyshev-Type Solver without Second Derivatives
Chapter 64. Newton-Type Solvers Using Fifth Order Quadrature Formulas
Chapter 65. Extending the Local Convergence of an Efficient Sixth Order Method
Chapter 66. Increased and Extended Local Convergence for Some Iterative Methods
Chapter 67. Extended Newton-Traub-Type Methods
Chapter 68. Extended Newton-Traub Methods
Chapter 69. Solvers of Convergence Three and Four with a Free Parameter
Chapter 70. Extended Fourth Order Weighted Newton Solver
Chapter 71. Extended Sixth Order Schemes with Parameters
Chapter 72. Extended Newton-Jarratt Scheme
Chapter 73. Chebyshev-Halley-Type Methods with Parameters
Chapter 74. Ostrowski-Chun Like Schemes with Parametrs
Chapter 75. Extended Seventh Order Method with Divided Differences
Chapter 76. Derivative-Free Methods 1: Order Six
Chapter 77. Derivative-Free Methods II: Order Seven
Chapter 78. High-Order and Efficient Solvers in Banach Spaces
Chapter 79. Derivative Free Method III: Order Seven
Chapter 80. Derivative Free Methods IV: Order Six
Chapter 81. Extended Semilocal Convergence of a Sixth Order Jarratt-Type Method in Banach Space
Chapter 82. Extended Inexact Gauss-Newton-Like Schemes for Injective Overdetermined Equations
Index
