A contemporary study of iterative methods

Content: 1. The majorization method in the Kantorovich theory 2. Directional Newton methods 3. Newton's method 4. Generalized equations 5. Gauss-Newton method 6. Gauss-Newton method for convex optimization 7. Proximal Gauss-Newton method 8. Multistep modified Newton-Hermitian and Skew-Hermitian Splitting method 9. Secant-like methods in chemistry 10. Robust convergence of Newton's method for cone inclusion problem 11. Gauss-Newton method for convex composite optimization 12. Domain of parameters 13. Newton's method for solving optimal shape design problems 14. Osada method 15. Newton's method to solve equations with solutions of multiplicity greater than one 16. Laguerre-like method for multiple zeros 17. Traub's method for multiple roots 18. Shadowing lemma for operators with chaotic behavior 19. Inexact two-point Newton-like methods 20. Two-step Newton methods 21. Introduction to complex dynamics 22. Convergence and the dynamics of Chebyshev-Halley type methods 23. Convergence planes of iterative methods 24. Convergence and dynamics of a higher order family of iterative methods 25. Convergence and dynamics of iterative methods for multiple zeros