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Apr 18, 2022 at 1:02 comment added Mark L. Stone Yes, this is basically the standard formulation for the spectral norm (squared) of an affine function of the optimization variable. So using a convex optimization tool such as CVXPY, you could just use the built-in spectral norm function applied to A+BXC, and add the other constraints. Then square the optimal objective value.
Apr 17, 2022 at 14:39 history answered DSM CC BY-SA 4.0