Improving the efficiency index of one-point iterative processes
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摘要
From the ideas of improving the speed of convergence and reducing the computational cost of one-point iterations, a new uniparametric family of multipoint iterations is constructed in Banach spaces to solve nonlinear equations. The semilocal convergence and the R-order of convergence of the new iterations are analyzed and numerical tests are also given.
论文关键词：34B15,47H99,65J15,Nonlinear equations in Banach spaces,Semilocal convergence,Recurrence relations,A priori error estimates,R-order of convergence,Multipoint iterations,Boundary value problem
论文评审过程：Received 20 November 2007, Revised 3 March 2008, Available online 18 March 2008.
论文官网地址：https://doi.org/10.1016/j.cam.2008.03.004
