本期实战一个用Newton–Raphson Method求解非线性方程组根的例子。 使用Newton–Raphson方法,求解下述非线性弹簧的两个节点位移。使用1×10-5的收敛误差和初始估计u0= [0,0]T 。同时,估计收敛速度。 考虑两个串联的非线性弹簧,如Fig. 1所示。两个弹簧的刚度取决于弹簧的伸长率,其中 k1 =50+500u [N/m]和k2...
下面是解决非线性弹簧问题的基于改进的Newton–Raphson方法的MATLAB程序。 tol=1.0e-5;iter=0;u=[0.3;0.6];uold=u;c=0;f=[0;100];P=[300*u(1)^2+400*u(1)*u(2)-200*u(2)^2+150*u(1)-100*u(2)200*u(1)^2-400*u(1)*u(2)+200*u(2)^2-100*u(1)+100*u(2)];R=f-P;conv...
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matlab Newton method % Matlab script to illustrate Newton's method % to solve a nonlinear equation % this particular script finds the square root of a number M % (input by the user) % note that the function we are trying to zero is f(x) = x^2 - M....
matlab Newton method % Matlab script to illustrate Newton's method % to solve a nonlinear equation % this particular script finds the square root of a number M % (input by the user) % note that the function we are trying to zero is f(x) = x^2 - M....
MATLAB源代码 代码语言:javascript 代码运行次数:0 运行 AI代码解释 clc,clear x=load('ex4x.dat') y=load('ex4y.dat') [m, n] = size(x); x = [ones(m, 1), x];%增加一列 % find returns the indices of the % rows meeting the specified condition pos = find(y == 1); neg = find...
Matlab Newton‘s method 定义函数 function y=f(x) y=f(x)。%函数f(x)的表达式 end function z=h(x) z=h(x)。%函数h(x)的表达式 end 主程序 x=X;%迭代初值 i=0;%迭代次数计算 while i<= 100%迭代次数 x0=X-f(X)/h(X);%牛顿迭代格式...
MATLAB Online で開く I want to approximate the zeros of the following nonlinear system, using N-R method: f(x,y)=x+y^9/3+x^{243}/9+y^{2187}/27=0; g(x,y)=y+x^{27}/3+y^{243}/9+x^{6561}/27=0. I have tried with the following Ma...
MATLAB function [F, dF] = equation(x) F = x^2 - 2;示例方程为x^2 - 2 = 0 dF = 2*x;方程的导数为2*x end 在这个示例中,我们定义了一个名为equation的函数,该函数接收一个变量x作为输入,并返回方程F(x)和其导数F'(x)的值。请注意,这只是一个示例,实际问题中的方程和导数可能更加复杂。