On The Convergence Of Fixed Slope Iterations
نویسنده
چکیده
We provide a local as well as a semilocal convergence analysis for a certain class of fixed slope iterations in a Banach space setting. Using a weaker Hölder condition on the operator involved and more precise estimates than in [1], [2] we provide in the semilocal case: finer error estimates on the distances involved and an at least as precise information on the location of the solution; in the local case: a larger radius of convergence. Finally numerical examples are used to compare favorably our results with earlier ones [1], [2]. AMS (MOS) Subject Classification: 65H10, 65G99, 47H17, 49M15.
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تاریخ انتشار 2007