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RQ decomposition from QR decomposition

  1. Oct 5, 2008 #1
    What I'm wondering is:

    Q and R in the QR decomposition of A are the same Q and R in the RQ decomposition of which matrix?

    I found some matlab code which will get RQ from QR, but I don't understand how you would do those operations FIRST, then find the QR decomposition.

    Code (Text):
    ReverseRows = [0 0 1; 0 1 0 ; 1 0 0];
    [Q R] = qr((ReverseRows * A)');
    R = ReverseRows * R' * ReverseRows;
    Q = ReverseRows * Q';
    Any tips about the intuition of the relations of these factorizations?

    Thanks,
    Dave
     
  2. jcsd
  3. Oct 5, 2008 #2
    I guess what I was looking for is that QR is Gram-Schmidt applied to the column of A, where RQ is Gram-Schmidt applied to the rows of A.

    Dave
     
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