This book focuses on the approximation of nonlinear equations using
iterative methods. Nine contributions are presented on the
construction and analysis of these methods, the coverage
encompassing convergence, efficiency, robustness, dynamics, and
applications. Many problems are stated in the form of nonlinear
equations, using mathematical modeling. In particular, a wide range
of problems in Applied Mathematics and in Engineering can be solved
by finding the solutions to these equations. The book reveals the
importance of studying convergence aspects in iterative methods and
shows that selection of the most efficient and robust iterative
method for a given problem is crucial to guaranteeing a good
approximation. A number of sample criteria for selecting the
optimal method are presented, including those regarding the order
of convergence, the computational cost, and the stability,
including the dynamics. This book will appeal to researchers whose
field of interest is related to nonlinear problems and equations,
and their approximation.
General
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