Ostrowski type methods for solving systems of nonlinear equations
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摘要
Four generalized algorithms builded up from Ostrowski’s method for solving systems of nonlinear equations are written and analyzed. A development of an inverse first-order divided difference operator for functions of several variables is presented, as well as a direct computation of the local order of convergence for these variants of Ostrowski’s method. Furthermore, a sequence that approximates the order of convergence is generated for the examples and it confirms in a numerical way that the order of the methods is well deduced.
论文关键词:Ostrowski’s method,Iterative methods,Divided difference,Order of convergence,Computational efficiency
论文评审过程:Available online 27 August 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2011.08.011