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# Using fsolve in for loop for find solutions to equation

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Litalo on 13 Nov 2020
Commented: Stephan on 14 Nov 2020
for example if i have next functions: (which i need solving in the same time in a for loop for different t12)
x2=C*((sin(x2+x1*sinh(t12))))/(tg((x2+x1*cos(t12)))));
x1=C*(sin((x1+x2*sinh(t12)))))/(tg((x1+x2*cos(t12))));
(C- just constant lets say it equal 1)
t12- i change every loop lets say it linspace(-pi, pi)
so i tried to do it like this:
tt12=linspace(-pi, pi); %angle changing
C=1; %just constant
x1_vec=zeros(1,length(tt12)); x2_vec=zeros(1,length(tt12)) % vector in which i collect sollutions
x1=rand; x2=rand; % initial conditions
for i=1:length(tt12)
t12=tt12(i);
F= @(V) [ V(1)-C*sin(V(1)+V(2)*sinh(t12))/(tan(V(1)+V(2)*cos(t12)));
V(2)-C*sin(V(2)+V(1)*sinh(t12))/(tan(V(2)+V(1)*cos(t12)));
];
InitialGuess=[x1;x2];
XY = fsolve(F, InitialGuess);
x1=XY(1);
x2=XY(2);
x1_vec(i)=x1;
x2_vec(i)=x2;
end
but every loop i get the next message which make it really slow: (since every loop it print it!) what should i do so it will work faster (with no such printing (since i want to use t12 vector of lets say 80000 and then it will be too long if it prints every loop and calculation) ?
Best regards,
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### Accepted Answer

Stephan on 14 Nov 2020
Edited: Stephan on 14 Nov 2020
Add this line before you call fsolve
options = optimoptions('fsolve','Display','off');
and then call fsolve with this options:
XY = fsolve(F, InitialGuess, options);
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Stephan on 14 Nov 2020
You could try to work with parfor.

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