A Iterative Scheme for the SoLution of Nonlinear Equation

Wang Yuntong

doi:10.13374/j.issn1001-053x.1987.01.017

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Wang Yuntong. A Iterative Scheme for the SoLution of Nonlinear Equation[J]. Chinese Journal of Engineering, 1987, 9(1): 109-112. doi: 10.13374/j.issn1001-053x.1987.01.017

Citation:

Wang Yuntong. A Iterative Scheme for the SoLution of Nonlinear Equation[J]. Chinese Journal of Engineering, 1987, 9(1): 109-112. doi: 10.13374/j.issn1001-053x.1987.01.017

Wang Yuntong. A Iterative Scheme for the SoLution of Nonlinear Equation[J]. Chinese Journal of Engineering, 1987, 9(1): 109-112. doi: 10.13374/j.issn1001-053x.1987.01.017

Citation:

Wang Yuntong. A Iterative Scheme for the SoLution of Nonlinear Equation[J]. Chinese Journal of Engineering, 1987, 9(1): 109-112. doi: 10.13374/j.issn1001-053x.1987.01.017

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A Iterative Scheme for the SoLution of Nonlinear Equation

doi: 10.13374/j.issn1001-053x.1987.01.017

Wang Yuntong

Received Date: 1986-05-02
Available Online: 2021-10-28

Abstract

Abstract

Using fractional linear function (also called pseudolinear function) to approximate a function f (x) at a specific point Xo, a iteration scheme for the solution of equation f (x)=0 is developed the variant of the method includes the well-known Hally method. Under the appropriate condition the quadratie convergence is proved.
- fractional linear function,
- approximation,
- the solution of equation,
- Taylor expansion,
- quadratic convergence