Titlebook: Advances in Iterative Methods for Nonlinear Equations; Sergio Amat,Sonia Busquier Book 2016 Springer International Publishing Switzerland

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https://doi.org/10.1007/978-3-319-39228-8Iterative methods; Convergence; Efficiency; Ergodic theory; Computational mathematics

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978-3-319-81845-0Springer International Publishing Switzerland 2016

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https://doi.org/10.1007/978-3-319-96848-3ctive branch in research. Many problems in Computational Sciences and other disciplines can be brought in the form of solving a nonlinear equation or system, using Mathematical Modeling. In particular, a large number of problems in Applied Mathematics and Engineering is solved by finding the solutio

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Hospital Management of Migraine such procedures that use some evaluations of the derivative of the nonlinear function. After introducing some elementary concepts, the methods are classified depending on the optimal order reached and also some general families of arbitrary order are presented. Later on, some techniques of complex

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Manfred Wick,Paul Lehmann,Wulf Pinggerae used an homotopy method to obtain approximate zeros of the considered function. The novelty in our approach is the establishment of new convergence results based on a Lipschitz condition with a .-average for the involved operator. In particular, semilocal convergence results (Kantorovich-type resu

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Manfred Wick,Wulf Pinggera,Paul Lehmannlinear equations. Namely, we examine the concept of iterative methods and their local order of convergence, numerical parameters that allow us to assess the order, and the development of inverse operators (derivative and divided differences). We also provide a detailed study of a new computational t