A special case of the basic problem of solving an algebraic equation f (x) = 0 takes the form: find \( \bar x \) such that
where g: ℝ → ℝ is a Lipschitz continuous function.
$$\bar x = g(\bar x)$$
KeywordsLipschitz Constant Unique Fixed Point Quadratic Convergence Point Iteration Lipschitz Continuous Function
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© Springer-Verlag Berlin Heidelberg 2004