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求解重根的Halley方法收敛半径的再估计
Recalculation of the Convergence Radius of Halley’s Method for Multiple Roots
【摘要】 利用在假设函数的m+1阶导数满足center-Hlder的条件下,对求解重根的Halley算法的收敛半径进行了再研究.与已有结果相比,所得结果条件更弱,适用性更广.
【Abstract】 In this paper,the condition that the derivative f(m + 1)of function f satisfies the center-Hlder continuous condition is re- intestigated. Comparing with the known result,much weaker condition and a wider range of application are obtained.
【关键词】 重根;
收敛半径;
Halley方法;
center-Hlder条件,Taylor展开式;
【Key words】 Multiple roots; Convergence radius,Halley’s method; Center-Hlder condition; Taylor’ s expansion;
【Key words】 Multiple roots; Convergence radius,Halley’s method; Center-Hlder condition; Taylor’ s expansion;
- 【文献出处】 哈尔滨师范大学自然科学学报 ,Natural Science Journal of Harbin Normal University , 编辑部邮箱 ,2015年04期
- 【分类号】O175
- 【被引频次】1
- 【下载频次】26