Researchers are faced with the problem of solving a variety of equations in the course of their work in engineering, economics, physics, and the computational sciences. This book focuses on a new and improved local-semilocal and monotone convergence analysis of efficient numerical methods for computing approximate solutions of such equations, under weaker hypotheses than in other works. This particular feature is the main strength of the book when compared with others already in the literature.

The explanations and applications in the book are detailed enough to capture the interest of curious readers and complete enough to provide the necessary background material to go further into the subject.

Contents:

• Linear Spaces
• Divided Differences
• Fundamental Fixed Point Theory
• Solving Equations
• Two-Step Newton Methods and Their Applications
• The Secant Method
• Newton-Like Methods
• Two-Point Newton-Like Methods
• Variational Inequalities
• Special Topics
• Operator Equations and Their Discretizations
• Convergence on Generalized Spaces
• Dynamic Processes

“The bibliography is very rich. The present book will be extremely valuable for graduate students in computational sciences, for researchers and for all practitioners.”