Further insight into the Shamanskii modification of Newton method

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摘要

In this paper, a new Wolfe-type line search is proposed, and the global and superlinear of the Shamanskii method with the new line search are proved under mild assumptions. Furthermore, the iterative scheme of the Shamanskii method is also generalized.

论文关键词:Unconstrained optimization,Shamanskii method,Global and superlinear convergence

论文评审过程:Available online 7 February 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2005.11.167