一族带有两参数的修正型Chebyshev-Halley迭代方法（英文）
发布时间：2018-08-20 17:02
【摘要】：应用(2,1)阶Padé逼近方法,得到不需要计算二阶导数求解非线性方程的修正型Chebyshev-Halley方法的新两参数族,证明该族方法是至少三阶收敛。该族方法的每步迭代需要计算两个函数和一个一阶导数,数值实验表明,该族迭代方法与其它方法相比,在许多方面得到了更好的数值结果。
[Abstract]:In this paper, a new two-parameter family of modified Chebyshev-Halley 's method without calculating the second order derivative for solving nonlinear equations is obtained by using the (2 ~ (1) order Pad 茅 approximation method. It is proved that the family method is at least third-order convergence. Each iteration of this family of methods needs to calculate two functions and one first order derivative. Numerical experiments show that the family iterative method has better numerical results than other methods in many aspects.
【作者单位】： 长春工业大学基础科学学院;空军航空大学基础部;
【基金】：Supported by the National Natural Science Foundation of China(11401046;11301036) the Scientific Research Foundation of the Education Department of Jilin Province(JJKH20170536KJ;JJKH20170537KJ)
【分类号】：O241.6
[Abstract]:In this paper, a new two-parameter family of modified Chebyshev-Halley 's method without calculating the second order derivative for solving nonlinear equations is obtained by using the (2 ~ (1) order Pad 茅 approximation method. It is proved that the family method is at least third-order convergence. Each iteration of this family of methods needs to calculate two functions and one first order derivative. Numerical experiments show that the family iterative method has better numerical results than other methods in many aspects.
【作者单位】： 长春工业大学基础科学学院;空军航空大学基础部;
【基金】：Supported by the National Natural Science Foundation of China(11401046;11301036) the Scientific Research Foundation of the Education Department of Jilin Province(JJKH20170536KJ;JJKH20170537KJ)
【分类号】：O241.6
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