Table of Contents
Table of Contents
Preface
Author Contact Information
Chapter 1. Majorizing Sequences for Iterative Methods with Applications
Chapter 2. On a Fast Three Step Method for Solving Equations under Weak Conditions
Chapter 3. Ball Convergence of Two Derivative Free Iterative Methods for Solving Equations under Weak Conditions
Chapter 4. Quasi-Newtonian Iterative Processes
Chapter 5. Extended Ball Convergence for a Chebyshev-Halley Family of Methods with One Parameter
Chapter 6. Extending the Applicability of Newton’s Method under the Second Fr´echet-Derivative: Case I
Chapter 7. Extending the Applicability of Newton’s Method Under the k-th (k≥ 2)Fr´echet Derivaitive: Case II
Chapter 8. Convergence under w-Conditions and the k-Fr´echet Derivatives: Case III
Chapter 9. Convergence under w-Conditions on the Second Derivative: Case IV
Chapter 10. Convergence under Lipschitz Conditions: Case V
Chapter 11. Convergence under w-Lipschitz Conditions: Case VI
Chapter 12. Convergence of an Eight Order Four Step Method
Chapter 13. A Fast Three Step Method
Chapter 14. Convergence of a Method Using Derivatives and Divided Differences
Chapter 15. Convergence of a 2k Method
Chapter 16. Convergence of an Eighth Order Method
Chapter 17. Convergence for a Method Containing a Sum of Linear Operators
Chapter 18. Local Convergence of a Two-Step Chebyshev-Type Method
Chapter 19. Local Convergence of a Three Parameter Sixth Order Method
Chapter 20. Local Convergence for a Steffensen-Type Method of Order Eight
Chapter 21. Convergence of a Sixth Order Method
Chapter 22. Roots of Polynomials and their Applications
Chapter 23. Hybrid High Convergence Order Iterative Methods
Chapter 24. Hybrid Newton-Like Methods with High Order of Convergence
Glossary of Symbols
Keywords
Iterative Methods
