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Apr 24, 2018 at 3:39 history edited Turbo CC BY-SA 3.0
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Apr 24, 2018 at 2:20 answer added Mark L. Stone timeline score: 3
Apr 23, 2018 at 19:04 comment added Mark L. Stone You could numerically globally maximize the Frobenius norm, subject to element-wise bound constraints on V. For instance, using YALMIP's bmibnb global optimizer, in the most rudimentary specification, V = sdpvar(n,n,'full'); optimize([-epsilon <= V(:) - U(:) <= epsilon,-norm(VAV' - B,'fro'),sdpsettings('solver'','bmibnb')) . You could use the BARON solver instead, in this case by changing 'bmibnb' to 'baron'. You can specify relative and absolute optimality gaps which control how tightly the global optimum is found. Bigger gap, which can be found easier, means the bound isn't as tight.
Apr 23, 2018 at 18:21 comment added Turbo Frobenius norm would help.
Apr 23, 2018 at 18:17 comment added Mark L. Stone For 1., would you be content with a bound for Frobenius norm?
Apr 23, 2018 at 11:56 review Close votes
Apr 26, 2018 at 17:47
Apr 23, 2018 at 9:28 history edited Turbo CC BY-SA 3.0
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Apr 23, 2018 at 8:37 history asked Turbo CC BY-SA 3.0