.png){kind=icon}
返回
A non-iterative method for solving non-linear equations
.png){kind=icon}
PRE
AI
DOI：10.1016/j.amc.2007.09.006.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In this paper, using a hyperbolic tangent function tanh(beta x), beta > 0, we develop a non- iterative method to estimate a root of an equation f(x) = 0. The problem of finding root is transformed to evaluating an integral, and thus we need not take account of choosing initial guess. The larger the value of beta, the better the approximation to the root. Alternatively we employ the signum function sgn(x) instead of the hyperbolic tangent function, which results in an exact formula for the root. Availability of the present method is shown by some numerical examples for which the traditional Newton's method is not appropriate. (C) 2007 Elsevier Inc. All rights reserved.
Keyword:
Newton's method
hyperbolic tangent function
signum function
non-linear equation
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
机构
暂无机构信息
引用论文
.png){kind=icon}
分享收藏 没有更多内容
没有更多内容