Warning: Imaginary parts of complex X and/or Y arguments ignored

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function main
options=odeset('RelTol',1e-06)
Xo = [1;0];
tspan = [0,5];
[t,X] = ode45(@TestFunction,tspan,Xo,options);
figure
hold on
plot (t,X(:,1));plot (t,X(:,2),':')
legend ('x1','x2');ylabel('x');xlabel('t')
return
function dx_dt=TestFunction(t,x)
%function which returns a rate of change vector
M=[i,i;i,i]
dx_dt=M*x;
return
full error message:
Warning: Imaginary parts of complex X and/or Y arguments ignored
> In ode_plot_6 (line 17)
The program plots the graph, but generates the above error. Please help in eliminating the error message. Thank you.

Accepted Answer

Walter Roberson
Walter Roberson on 24 Feb 2016
You know that in
M=[i,i;i,i]
that the "i" there is going to refer to sqrt(-1) ? You are going to get complex output, and MATLAB cannot display complex output when you use that plotting syntax.
You could use
plot (t, real(X(:,1)), 'b-', t, imag(X(:,1)), 'r-');
plot (t, real(X(:,2)), 'b:', t, imag(X(:,2)), 'r:')
This would plot the real components in blue and the imaginary components in red.

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