QRDecomposition can easily be made to run about twice as fast
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                 Key: MATH-223
                 URL: https://issues.apache.org/jira/browse/MATH-223
             Project: Commons Math
          Issue Type: Improvement
    Affects Versions: 1.2
         Environment: Any
            Reporter: John Mulcahy
            Priority: Minor


The QRDecomposition will run much faster (about twice as fast) if the qr and Q 
matrices are calculated as their transposes and the transposition is sorted out 
in the getQ() method. Using the transposes allows the loops to iterate over 
rows of the transposed matrices rather than columns. It might also be useful to 
cache the Q matrix locally when it is generated in case there are any 
subsequent calls to getQ() as this is the most expensive part of the 
decomposition.

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