Matrix equation as constraint

Hi there,

How should I write this equation as a constraint?

Many thanks.

[Walter Roberson]

I think you would have to use nonlinear constraints for that if you are using fmincon directly.

[Benj D]

Thank you. But then the gradient function for each equation would be a constant. I don't know... it's weird to me.

[Walter Roberson]

That is not obvious to me? Could you expland on that?

[Benj D]

I was going to explain, but the question has been answered. Thank you anyway.

Answer 1

[Torsten]

Here are the constraints to be put in Aeq and beq if you use "fmincon".

n = 5;
p = 3;
A = sym('A',[n,p]);
X = sym('X',[n,p]);
eqn = A.'*X + X.'*A == 0;
[Aeq,beq] = equationsToMatrix(eqn(:),X)

Aeq = 

beq = 

[Benj D]

Thank you, Torsten. That was genius.