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Topic: Uniqueness of Q
Replies: 5   Last Post: Nov 7, 2012 1:20 PM

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Kaba

Posts: 289
Registered: 5/23/11
Uniqueness of Q
Posted: Nov 7, 2012 10:30 AM
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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
non-negative 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.

--
http://kaba.hilvi.org



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