whats problem in my code for solve newton Rhapson method for equation 4-x^2-y^2 1-exp(x)-y

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Abdelrahman Ibrahim Hussein 2020-12-3

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https://ww2.mathworks.cn/matlabcentral/answers/676783-whats-problem-in-my-code-for-solve-newton-rhapson-method-for-equation-4-x-2-y-2-1-exp-x-y

评论： Abdelrahman Ibrahim Hussein 2020-12-4

clc
clear
format long
n=10; x(1)=1; y(1)=-1.7;
for i=1:n
    f(x(i),y(i))=4-x(i)^2-y(i)^2;
    g(x(i),y(i))=1-exp(x(i))-y(i);
    fx(i)=4-2*x(i);
    gx(i)=-exp(x(i));
    fy(i)=-2*y(i);
    gy(i)=-1;
    x(i+1)=x(i)-(f(i)*gy(i)-fy(i)*g(i))/(fx(i)*gy(i)-fy(i)*gx(i));
    y(i+1)=y(i)-(fx(i)*g(i)-f(i)*gy(i))/(fx(i)*gy(i)-fy(i)*gx(i));
end

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回答（1 个）

Walter Roberson 2020-12-3

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Suppose we could find some way to make your assignments to f(x,y) and g(x,y) work out. Then what would you do with the results? You never use f(x,y) or g(x,y) in your calculations: you only use f(i) and g(i) . Perhaps you should not be assigning to f(x(i),y(i)) and g(x(i),y(i)) and should be assigning to f(i) and g(i) ?