An extension of Gander’s result for quadratic equations
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摘要
In the study of iterative methods with high order of convergence, Gander provides a general expression for iterative methods with order of convergence at least three in the scalar case. Taking into account an extension of this result, we define a family of iterations in Banach spaces with R-order of convergence at least four for quadratic equations.
论文关键词：34B15,65J15,Nonlinear equations in Banach spaces,Iterative methods,Semilocal convergence,Majorant sequences,A priori error estimates,R-order of convergence,Quadratic equation,Integral equation,Partial differential equation
论文评审过程：Received 10 September 2008, Revised 14 November 2008, Available online 20 January 2009.
论文官网地址：https://doi.org/10.1016/j.cam.2009.01.010
