在维基百科中的定义如下: In numerical analysis, Newton's method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function. It is one example of a root...
5.2 Newton-Raphson method The Newton-Raphson method is one of the most popular and efficient algorithms for finding approximate solutions of a real function. The effectiveness of the Newton-Raphson method is because it does not work on an interval but bases its strategy on an iterative process....
概述 牛顿迭代法(Newton's method)又称为牛顿-拉夫逊(拉弗森)方法(Newton-Raphson method),它是牛顿在17世纪提出的一种在实数域和复数域上近似求解方程的方法。 多数方程不存在求根公式,因此求精确根非常困难,甚至不可能,从而寻找方程的近似根就显得特别重要。 牛顿法的几何意义 上图中 y=f(x) 是一个可微函数...
1)Newton-Raphson methodNewton-Raphson法 1.This paper optimizes the potential parameters of Wilson equation in water- ethanol system via Newton-Raphson method.利用Newton-Raphson法拟合了气-液平衡计算中最困难的二元含水体系(水-乙醇体系)气液平衡组成的Wilson方程参数。 2.Newton-Raphson Method and load ...
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An analog of the Newton–Raphson formula, which applies in the case of multiple roots, has been given by Schrder. It is considered that a zero of exact multiplicityis available, then the Newton–Raphson formula is replaced by Schrder's formula. With this modification, the difficulties because...
We can find these roots of a simple function such as: f(x) = x2-4 simply by setting the function to zero, and solving: f(x) = x2-4 = 0 (x+2)(x-2) = 0 x = 2 or x = -2 The Newton-Raphson method uses an iterative process to approach one root of a function. The ...
Newton's method 1 Newton's method In numerical analysis, Newton's method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function. The algorithm is ...
For a differentiable function f, a solution of the equation f(x)=0 may be approximated by the Newton's Method which, for a starting point x0 proposes to look the next (approximation) x1 to be the x-intercept of the tangent line to the grap...
牛顿法(Newton's method)——求非线性方程(组)零点的一种重要的迭代法。Q-learning学习算法——这是一种通过学习动 … www.admin10000.com|基于263个网页 2. 牛顿迭代法 牛顿迭代法(Newton' s method) 又称为牛顿-拉夫逊方法(Newton-Raphson method) , 它是牛顿在 17 世纪提出的一种在 … ...