On the Local Convergence and Dynamics of New Iterative Method with Sixth Order Convergence
In this paper,we construct a new sixth order iterative method for solving nonlinear equations.The local convergence and order of convergence of the new iterative method is demonstrated.In order to check the validity of the new iterative method,we employ several chemical engineering applications and academic test problems.Numerical results show the good numerical performance of the new iterative method.Moreover,the dynamical study of the new method also supports the theoretical results.
Nonlinear equationSixth order methodLocal convergenceBasin of attraction
吕博睿、楚雪、王海军
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中国矿业大学数学学院,徐州,221116
中煤科工常州研究院,常州,213000
非线性方程组 六阶方法 局部收敛性 吸引域
National Natural Science Foundation of ChinaKey Program of the National Natural Science Foundation of China
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