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第一条就是这种方法的核心,称为牛顿迭代公式(Newton's Raphson iterative formula)。与其他方法相比,其逼近速度会更快,尤其是在近似的精度较高时尤为明显。 例题(Example) Find the root of the functionobtained after the first iteration on application ofNewton-Raphson schemeusing an initial guess of. Given ...
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精度用于确定零点的精度。默认值为1.00E-8,指定计算值与实际值之间的最大偏差。 h — h是用于计算给定公式导数的△值。默认值为1E-8。 起始— 开始是区间的开始点。默认值为0.0。 末端— 结束是区间的结束点。默认值为1.0。 公式— 公式是描述函数的字符串。公式可包含任意数量的有效变量。 零— 零点是公式...
The error ε2 = x0 –a2 of the new value a2 is related to the old error ε1 = x0 –a1 by the formula where f”(ξ) is the value of the second derivative of the function f(x) at some point ξ that lies between x0 and a 1. It is sometimes recommended that Newton’s method...
introducesthelaboratoryresearchabout10%DifenoconazoleWDGformulation,confirmationofbestformula,processing craftandtechnicalindexandcarriesonexperimentalproduction. Keywords:Difenoconazole;WDG;formulation 1前言 气-液平衡问题是物理化学中最基本的理论研究课 题之一。以相平衡为基础的过程设计、过程开发、化工分 离计算及设计...
Newton-Raphson Method Letf(x)f(x)be a differentiable function and leta0a0be a guess for a solution to the equationf(x)=0f(x)=0We can product a sequence of pointsx=a0,a1,a2,…x=a0,a1,a2,…via the recursive formulaan+1=an−f(an)f′(an)an+1=an−f(an)f′(an)that are...
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...
Question: Let f(x)=x2-2x+2(a) Find the Newton-Raphson formula pk=g(pk-1).(b) Start with p0=-1.5 and find p1,p2 and p3. Let f(x)=x2-2x+2 (a) Find the Newton-Raphson formula pk=g(pk-1). (b) ...
The general iterative formula for this method would be: (1.48a)xn+1+=xn−f′(xn)f″(xn)+[f′(xn)]2−2f″(xn)f(xn)f″(xn) or (1.48b)xn+1−=xn−f′(xn)f″(xn)−[f′(xn)]2−2f″(xn)f(xn)f″(xn) The choice between Eq. (1.48a) and Eq. (1.48b) will ...