This monograph is devoted to a comprehensive treatment of iterative methods for solving nonlinear equations with particular emphasis on semilocal convergence analysis. Theoretical results are applied to engineering, dynamic economic systems, input-output systems, nonlinear and linear differential equations, and optimization problems. Accompanied by many exercises, some with solutions, the book may be used as a supplementary text in the classroom for seminars in advanced numerical and functional analysis or computer science.
This book presents iterative methods for solving nonlinear equations. It applies theoretical results to engineering, dynamic economic systems, input-output systems, nonlinear and linear differential equations, and optimization problems.