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February 1st, 2012, 01:59 AM  #1 
Newbie Joined: Jul 2010 Posts: 26 Thanks: 0  Matrix norm optimization problem
Given matrices C ? R{n×k} and X ? R{n×k}, it is known that X minimizes the following ?CC^T?XX^T?^2, which is a summation of squared elements of matrix CC^TXX^T Can it be proved that such solution X minimizes ?C?X?^2 Perhaps writing the above as a summation might help. (The problem is in Linear Algebra subforum, but moderators could link it to optimization problems) 

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matrix, norm, optimization, problem 
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