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Kaba
Posts:
289
Registered:
5/23/11


Re: Uniqueness of Q
Posted:
Nov 7, 2012 10:39 AM


7.11.2012 17:30, Kaba wrote: > Hi, > > Let Q, U, D, V in R^{n x n}, where Q^T Q = U^T U = V^T V = I, and D is > nonnegative diagonal. Consider the equation > > Q^T UDV^T = VDU^T Q. > > One solution to this equation is Q = UV^T. > > Prove or disprove: this solution is unique.
Disproved: Q = UV^T is also a solution.
Prove or disprove: UV^T and UV^T are the only solutions.
 http://kaba.hilvi.org



