Indices of convexity and concavity. Application to Halley method
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摘要
We define an index to measure the convexity of a convex function f at each point. We use this index to establish conditions on the convergence of the Halley method in the complex plane and in Banach spaces.
论文关键词：26A51,47H10,65J15,Convex function,Nonlinear equations in Banach spaces,Third-order method,Halley method,Majorizing sequences
论文评审过程：Available online 7 July 1999.
论文官网地址：https://doi.org/10.1016/S0096-3003(98)10047-4
