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https://issues.apache.org/jira/browse/MATH-665?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13100620#comment-13100620
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Luc Maisonobe commented on MATH-665:
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I guess MathUtils.SAFE_MIN would be an appropriate candidate. It was used in 
some LAPACK routines (for SVD if I remember correctly).

> QRDecomposition does not have a singularity threshold
> -----------------------------------------------------
>
>                 Key: MATH-665
>                 URL: https://issues.apache.org/jira/browse/MATH-665
>             Project: Commons Math
>          Issue Type: Bug
>            Reporter: Phil Steitz
>
> QRDecompositionImpl tests elements of rDiag for exact equality to 0 in 
> checking singularity.  A singularity threshold should be defined for this 
> class and used in the singularity test.

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