clear;clc
format;
x0=[0 100 0 0]; % 迭代初始值
eps = 0.00001; % 定位精度要求
for i = 1:20
f = double(subs(fun(x0),{'x1' 'x2' 'x3' 'x4'},{x0(1) x0(2) x0(3) x0(4)}));%方程个数改变之后这里需要改个数
f
df = double(subs(dfun(x0),{'x1' 'x2' 'x3' 'x4'},{x0(1) x0(2) x0(3) x0(4)})); %方程个数改变之后这里需要改个数
x = x0 - f/df;
if(abs(x-x0) < eps)
break;
end
x0 = x; % 更新迭代结果
end
x0(3)=x0(3)*0.85
x0(4)=x0(4)*0.3
disp('定位坐标：');
x0
disp('迭代次数：');
i
x0 = [-10 105 0 0.8];
h = 1e-4;
eps = 1e-6;
m = length(x0);
x0 = transpose(x0);
n = 1;
tol = 1;
for j = 1:10
fx= double(subs(fun(x0),{'x1' 'x2' 'x3' 'x4'},{x0(1) x0(2) x0(3) x0(4)}));%方程个数改变之后这里需要改个数
fx=transpose(fx);
J = zeros(m, m);
for i = 1: m
x1 = x0;
x1(i) = x1(i) + h;
f1=double(subs(fun(x1),{'x1' 'x2' 'x3' 'x4'},{x1(1) x1(2) x1(3) x1(4)}));%方程个数改变之后这里需要改个数
f1=transpose(f1);
J(:,i) = (f1 - fx)/h;
end
lamda = fx/sum(diag(transpose(J) * J));
r = x0 - J*lamda;
fr = double(subs(fun(r),{'x1' 'x2' 'x3' 'x4'},{r(1) r(2) r(3) r(4)}));%方程个数改变之后这里需要改个数
tol = dot(fr, fr);
x0 = r;
end
x0(3)=x0(3)*0.85
x0(4)=x0(4)*0.3
disp('定位坐标：');
x0
disp('迭代次数：');
j
function df = dfun(x)
%UNTITLED 此处显示有关此函数的摘要
% 此处显示详细说明
f=fun(x);
df=[diff(f,'x1');diff(f,'x2');diff(f,'x3');diff(f,'x4')]; %方程个数修改之后这里需要增加或减少：diff(f,'xn')
end
function f = fun(x)
%UNTITLED 此处显示有关此函数的摘要
% 此处显示详细说明
syms x1 x2 x3 x4 %这里面是变量个数，如果有4个方程就写到x4
f1=exp(-100+2*x1+x2)-0.85 * x3^2;
f2=exp(-200+x1+2*x2)-0.3 * x4^2;
f3=x3+x4-1;
f4=2*x3+x4^2-1;%以上四行分别是是四个函数
f=[f1,f2,f3,f4]% %方程个数修改之后这里需要增加或减少：fn
end