alberto trivellato created MATH-1176:
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             Summary: QRDecomposition does not detect the matrix singularity
                 Key: MATH-1176
                 URL: https://issues.apache.org/jira/browse/MATH-1176
             Project: Commons Math
          Issue Type: Bug
    Affects Versions: 3.3
            Reporter: alberto trivellato
            Priority: Minor


QRDecomposition fails this test. The default contructor sets the threshold=0, 
so we will never have abs(Rii) <= 0

public void testSimpleRankDeficient() throws Exception {
                double[][] A = new double[][] { 
                                { 1, 2, 3 }, 
                                { 4, 5, 6 },
                                { 7, 8, 9 }};
                //this matrix is singular                       
                
                RealMatrix M2 = MatrixUtils.createRealMatrix(A);
                QRDecomposition qr2 = new QRDecomposition(M2);
                assertFalse(qr2.getSolver().isNonSingular());//this fails
}



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