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MULTIPOINT METHODS FOR SOLVING NONLINEAR EQUATIONS by Jovana Dzunic, Ljiljana Petkovic, Beny Neta, Miodrag Petkovic

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Preface

Calculating zeros of a scalar function f ranks among the most significant problems in the theory and practice not only of applied mathematics, but also of many branches of engineering sciences, physics, computer science, finance, to mention only some fields. These problems lead to a rich blend of mathematics, numerical analysis and computing science. Our book mainly concerns itself with a special class of iterative methods for solving nonlinear equations, commonly called multipoint or multi-step methods (both terms appear in literature). Multipoint iterative methods are defined as methods that require evaluation of f and its derivatives at a number of values of the independent variable.

The main goal and motivation in the construction ...

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