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solving similtanous equations in loop

Vincent Gambuzza さんによって質問されました 2019 年 10 月 16 日 20:43
最新アクティビティ Star Strider
さんによって 回答されました 2019 年 10 月 16 日 21:08
given the two vectors
x = [1,2,3,4,5,6,7]
y = [1,2,3,4,5,6,7]
how can i solve the system of equations (this could be any equation)
-3*w*sin(x)+ 5*q*sin(y)-10 = 0
3*w*cos(x) - 5*q*cos(y) = 0
I need to find the variables w and q in matrix form.

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1 件の回答

Star Strider
回答者: Star Strider
2019 年 10 月 16 日 21:08

One approach:
x = [1,2,3,4,5,6,7];
y = [1,2,3,4,5,6,7];
[X,Y] = meshgrid(x,y);
xv = X(:);
yv = Y(:);
% -3*w*sin(x)+ 5*q*sin(y)-10 = 0
% 3*w*cos(x) - 5*q*cos(y) = 0
FM = @(w,q,x,y) [-3*w*sin(x) 5*q*sin(y)-10; 3*w*cos(x) -5*q*cos(y)];
for k = 1:numel(xv)
B(:,k) = fsolve(@(b) FM(b(1),b(2),xv(k),yv(k)), [100;100]);
end
Here ‘B(1,:)’ is ‘w’, and ‘B(2,:)’ is ‘q’. They are due to the matching ‘xv(k)’ ‘yv(k)’ combineations for each ‘k’.
Experiment to get the result you want.

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