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Solve symbolic Sylvester-like equation

Asked by Mohammad on 11 Mar 2019
Latest activity Commented on by madhan ravi
on 12 Mar 2019
I'm looking for a way to solve a symbolic Sylvester-like equation in MATLAB or MAPLE (or any other available tool). In particular, I have the following equation,
where, A has some parameters in it (like below). B is known and I want to solve for X as a function of a.

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Answer by Torsten
on 12 Mar 2019

syms a x11 x12 x21 x22 b11 b12 b21 b22
A=[a+sym('1'), sym('2'); sym('3'),sym('1')];
X=[x11,x12;x21,x22];
B=[b11,b12;b21,b22];
[solx11 solx12 solx21 solx22] = solve([A*X+X*A==B],[x11 x12 x21 x22])

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A = sym([a + x, 1; 3, 1]);
Torsten
on 12 Mar 2019
What is x ?
Why A12 = 1 instead of 2 ?
Ah (typo) , meant to say sym() can be used directly for the whole matrix instead of applying to each values of a matrix.

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