求解非线性方程的超线性迭代法

U. K. Qureshi, M. Ansari, M. R. Syed
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引用次数: 4

摘要

本文提出了一种求解非线性方程的超线性迭代法。所提出的超线性方法对于求解非线性方程非常有效和方便,并且是一种无导数的两点方法。所提出的迭代方法是由Newton Raphson方法和Taylor级数推导而来的。数值结果表明,超线a法与等分法、正则法和割线法相比收敛速度快。数值问题证明了其假设的正确性和有效性。在整个研究过程中,人们已经认识到,所开发的超线性算法对于估计非线性方程的单根是一个不错的成就。
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Super Linear Iterated Method for Solving Non-Linear Equations
In this paper a super linear iterated method has been suggested for solving non-linear equations. The proposed super linear method is very much effective and convenient for solving non-linear equations, and it is a derivative free two-point method. The proposed iterated method is derived from Newton Raphson Method and Taylor Series. We have observed in numerical outcome is that the super line a rmethod is rapidly converge with the assessment of Bisection Method, Regula-Falsi Method and Secant Method. Its hypothetical out comes and efficacy is inveterate by Numerical problems. Throughout the study, it has been perceived that the developed super linear algorithm is a decent attainment for estimating a single root of nonlinear equations.
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