Variants of Newton’s method for functions of several variables
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摘要
Some variants of Newton’s Method are developed in this work in order to solve systems of nonlinear equations, based in trapezoidal and midpoint rules of quadrature. We prove the quadratic convergence of one of these methods. Moreover, different numeric tests confirm theoretic results and allow us to compare these variants with Newton’s classical method.
论文关键词：Newton’s method,Fixed point iteration,Convergence order
论文评审过程：Available online 21 July 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.05.062
