Two-sided approximation for some Newton’s type methods
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摘要
We suggest and analyze a combination of a damped Newton’s method and a simplified version of Newton’s one. We show that the proposed iterations give two-sided approximations of the solution which can be efficiently used as posterior estimations. Some numerical examples illustrate the efficiency and performance of the method proposed.
论文关键词：Nonlinear equations,Newton’s type methods,Two-sided approximations
论文评审过程：Available online 12 April 2014.
论文官网地址：https://doi.org/10.1016/j.amc.2014.03.068
