add JAMA-like API for decomposition algorithms in linear algebra
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                 Key: MATH-220
                 URL: https://issues.apache.org/jira/browse/MATH-220
             Project: Commons Math
          Issue Type: New Feature
    Affects Versions: 1.2
         Environment: all
            Reporter: Luc Maisonobe
            Assignee: Luc Maisonobe
             Fix For: 2.0


As discussed in thread http://markmail.org/message/a4d454alexugur2m on the 
commons developers mailing list, it would be interesting to use an API similar 
to the one defined by the now defunct JAMA project 
(http://math.nist.gov/javanumerics/jama/).

In order to follow current practice in commons-math, this implies creating 
interfaces corresponding to the JAMA classes, and to provide default 
implementations for them.

The current LU decomposition based solve methods in RealMatrixImpl should be 
removed and replaced by the various sovle implementations provided by all the 
decomposition algorithms (LU, QR ...).

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