bibliography (pages 225-270)

1. Newton-Type Iterations for Nonliner Equations. Newton type iterations, Convergence and Accelerations -- Two Sided Apporoximations -- New Developments and Extensions of Newton -Type Methods -- Derivative-Free iterative Methods -- 2. Higher Order Iterations for Systems of Nonliner Equations. Higher order Newton-Type Iterations -- High Order Derivative-Free Newton -Type Ilerations -- 3. Applications. Newton-Type iterations for Solving Some Problems in Liner Algebra -- Applications og the Newton-Type Iterations for the computational Physics

In Newton-type methods, iteration parameters play a key role. Suitable choices of these parameters not only speed up convergence, but also extend the convergence domain. Moreover, special choices allow us to control the convergence behavior of iterations. Over the last two decades, many papers on this topic have been published, and it is highly desirable to systematically collect these results. This motivates us to write this monograph based on our research results obtained in collaboration with the co-authors. Since the topic is of importance, we believe that this book will be useful to readers, graduate students and researchers interested in the field of applied mathematics, numerical analysis and applied sciences.

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