当当前迭代接近解时,该方法表现出二次收敛性。 Fig. 1 非线性方程P(u)=f 的Newton-Raphson方法 设uexact是精确解,un和un+1是Newton–Raphson方法解的两个连续近似值。然后,当存在常数c>0满足 ,则该方法呈二次收敛。由于左手边是第(n+1)次迭代时的误差,右手边是第n次迭代时误差的平方,因此Newton–Raphson...
Efficient full newton-raphson technique for the solution of molecular integral equations - example of the SPC/E water-like system. Molecular Physics, 112(9-10):1246-1256, 2014.Belloni L, Chikina I: Efficient full Newton-Raphson technique for the solution of molecular integral equations--example...
Newton–Raphson方法的算法如下: 其次,如Fig. 1所示,如果起点离精确解太远,该方法可能会在两点之间发散或振荡。当P(u)曲线的曲率在两次连续迭代之间改变其符号时,也会发生这种情况。在这种情况下,Newton–Raphson算法可能会导致无限循环。为了防止无限循环,设置了最大迭代次数,并且当迭代次数达到最大迭代次数时,算法停...
Moreover, we ascertain that the Newton-Raphson method is suitable to locate the optimal solution. From the numerical examples, we know that the Newton-Raphson method is superior to the bisection algorithm. Finally, we point out the problem for choosing the threshold value in the bisection ...
The finite element method has been used to analyse reinforced concrete structures from zero load up to collapse. Modified Newton-Raphson method has been used as the basic solution procedure. In this paper, the performance of various accelerators are discussed and compared with each other. The numer...
对于Newton-Raphson(N-R)迭代法,其特点是最后直接求解的方程为___。 The Newton-Raphson (NR) iterative algorithm is characterized by: that the final direct solution of the equation is ___. A.线性方程 linear B.非线性方程 non linear 点击查看答案&解析手机看题 你可能感兴趣的试题 单项选择题 天麻...
MATLAB Online에서 열기 다운로드 Although this is the most basic non-linear solver, it is surprisingly powerful. It is based on the Newton-Raphson method in chapter 9.6-7 of Numerical Recipes in C. In general for well behaved functions and decent initial guesses, its convergence...
AlgorithmforNewton-RaphsonMethod * http://numericalmethods.eng.usf.edu Step1 Evaluate symbolically. http://numericalmethods.eng.usf.edu * Step2 Useaninitialguessoftheroot,,toestimatethenewvalueoftheroot,,as http://numericalmethods.eng.usf.edu ...
Modified Newton–Raphson solution for dispersion equation of transition water waves is proposed for practical applications. The wave dispersion equation is a nonlinear equation. Therefore, one has to apply a time-consuming trial-and-error method. However, it may be solved by utilizing an iterative ...
This paper presents a numerical solution, using MATLAB, of the electrostatic potential in a pn junction, which obeys Poisson's equation. This numerical method is based on the Newton-Raphson technique and is useful for educational purposes. It can be incorporated in an undergraduate course on semic...