Table of Contents

Preface

Chapter 1: A Newton-Traub-Like Fifth Convergence Order Method in Hilbert Space
Chapter 2: Correcting and extending the applicability of two fast algorithms for solving systems
Chapter 3: Extended Directional Newton-Type Methods
Chapter 4: Extended Kantorovich Theorem for Generalized Equations and Variational Inequalities
Chapter 5: Extended the Applicability of Newton’s Method for Equations with Monotone Operator
Chapter 6: Improved Local Convergence for a Proximal Gauss-Newton Solver
Chapter 7: Improved Error Estimates for Some Newton-type Methods
Chapter 8: Two Non Classical Quantum Logic of Projections in Hilbert space
Chapter 9: Extended Fourth Order Newton-Like Method under w-continuity for Solving Equations
Chapter 10: On the semi-local convergence of Halley’s method: An extension
Chapter 11: Semi local convergence criterion of Newton’s algorithm for singular systems under constant rank derivatives: An extension
Chapter 12: Extending the Gauss-Newton-Algorithm under l-average continuity conditions
Chapter 13: On the solution of generalized equations in Hilbert space
Chapter 14: Newton’s algorithm on Riemannian manifolds: Extended Kantorovich’s theorem
Chapter 15: Extended Gauss-Newton-Kurchatov Algorithm for least squares problems
Chapter 16: Extended Gauss-Newton Algorithm for convex composite optimization
Chapter 17: Extended local convergence of Newton’s Algorithm on Riemannian manifolds
Chapter 18: Uniqueness of the solution of equations in Hilbert space: I
Chapter 19: Uniqueness of the solution of equations in Hilbert space: II
Chapter 20: Extended Newton’s Algorithm on Riemannian manifolds with values in a cone
Chapter 21: Extended Gauss-Newton Algorithm on Riemannian manifolds under L- average Lipschitz conditions
Chapter 22: New Results on Berezin Number Inequalities in Reproducing Kernel Hilbert Space

Glossary of Symbols

Index