Non convex problem

the following objective function is non-convex because of multiplication. How can we solve min \left| A^{\dagger}A-I \right|_F ? and adding auxiliary matrix will be helpful or not ? am trying to solve it using ADMM any other suggestions

As you wrote, that problem is non-convex. How to solve such a non-convex (nonlinear least squares) problem is out of scope of this forum. Perhaps look into YALMIP or seek help at or

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