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https://issues.apache.org/jira/browse/MATH-1176?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
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Luc Maisonobe updated MATH-1176:
--------------------------------
    Fix Version/s: 4.0

> 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
>             Fix For: 4.0
>
>         Attachments: MATH-1176.failing.patch
>
>
> 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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