| 一种新的迭代方法 |
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| 引用本文： | 霍守诚. 一种新的迭代方法[J]. 中国石油大学学报(自然科学版), 1988, 0(1) |
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| 作者姓名： | 霍守诚 |
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| 作者单位： | 华东石油学院数学教研室 |
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| 摘 要： | 本文应用整函的理论及文献[2]的基本定理,推导出了一种求解方程F(z)=0近似解的新迭代方法,分别得出了当F(z)是亚纯函数、整函数、实函数时的迭代公式,指出这种新的迭代方法包括了牛顿迭代法,并用实例说明了应用这种新的迭代方法求方程的近似解,比应用熟知的牛顿法、迭代法计算简便,收敛较快。
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| 关 键 词： | 方程解 近似值 整函数 亚纯函数 迭代法 |
A KIND OF NEW ITERATION METHOD |
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| Huo Shouchcng. A KIND OF NEW ITERATION METHOD[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1988, 0(1) |
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| Authors: | Huo Shouchcng |
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| Affiliation: | Huo Shouchcng |
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| Abstract: | In this paper, a new iteration method of solving the approximate solutions of F(z)=0 are derived, on the basis of fundamental theories of entire function. The iterative formulas have been obtained for the case of that F(z) =0 is meromorphic functions, entire functions and real functions respectively. The new iteration method is extension of Newton's iteration method and is of more simple calculation and faster convergence than later. A example is given to solve approximate solutions of eguations. |
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| Keywords: | Solution of equation Approximation value Entire function Meromorphie function Iteration method |
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