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Advances in Iterative Methods for Nonlinear Equations
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This book focuses on the approximation of nonlinear equations using iterative methods, presenting nine contributions on the construction and analysis of the methods, including 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 the 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.
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