an error in new versions? triognometric function of A*t
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Please run the following code in MATLAB R2017a
A1=simplify(A1), A2=simplify(A2)
A=[-7,2,0,-1; 1,-4,2,1; 2,-1,-6,-1; -1,-1,0,-4];
syms t, A1=(expm(A*1j*t)-expm(-A*1j*t))/(2*1j);
A2=(expm(A*1j*t)+expm(-A*1j*t))/2;
The results are different from the ones in earlier versions such as R2008a, R2011a. The results in earlier versions are consistent with the commands funm(A*t,'sin'). Obviously the results in the new versions are wrong, or at least not simplified well.
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Stefan Wehmeier
2017-8-25
It is a matter of taste if you prefer results in terms of exp or sin. You could do
simplify(rewrite(A1, 'sin'))
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