求解一般小于五次多项式方程的统一泛函方法

D. F. Nwosu, O. C. Okoli, Amaka Monica Ezeonyebuchi, A. T. Tiruneh
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引用次数: 0

摘要

本文提出了一种统一的求解方法,该方法结合了一个计算公式,该计算公式将消沉方程的系数与标准多项式方程的系数联系起来。这是为了保证该方法对所有的多项式方程都是有效的。对于这些单变量小于五次的多项式方程,应采用辅助函数待定参数法求解。特别地,我们的工作结果是对几位作者的工作的统一和改进,即只适用于一次多项式方程的情况。最后,通过应用标准公式方法求解高次多项式,改进和推广了上述结果。建议应该努力提供其他更简单和友好的变体方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Unified Functional Method for Solving General Polynomial Equations of Degree Less Than Five
A unified method for solving that incorporate a computational formula that relate the coefficients of the depressed equation and the coefficients of the standard polynomial equation is proposed in this study. This is to ensure that this method is valid for all   It shall apply the undetermined parameter method of auxiliary function to obtain solutions to these polynomial equations of degree less than five in one variable.  In particular, the result of our work is a unification and improvement on the work of several authors in the sense that only applicable for the case of polynomial equation of degree one. Finally, our results improve and generalize the result by applying standard formula methods for solving higher degree polynomials. It is recommended that the effort should be made toward providing other variant methods that are simpler and friendly.
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