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lm(): What is qraux returned by QR decomposition in LINPACK / LAPACK

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rich.main3 is a linear model in R. I understand the rest of the elements of the list but I don't get what qraux is. The documentation states that it is

a vector of length ncol(x) which contains additional information on \bold{Q}".

What additional information does it mean?

str(rich.main3$qr)qr   : num [1:164, 1:147] -12.8062 0.0781 0.0781 0.0781 0.0781 .....- attr(*, "dimnames")=List of 2  .. ..$ : chr [1:164] "1""2""3""4" ...  .. ..$ : chr [1:147] "(Intercept)""S2""S3""x1" ...  ..- attr(*, "assign")= int [1:147] 0 1 1 2 3 4 5 6 7 8 ...  ..- attr(*, "contrasts")=List of 3  .. ..$ S    : chr "contr.treatment"  .. ..$ ID   : chr "contr.treatment"  .. ..$ Block: chr "contr.treatment" $ qraux: num [1:147] 1.08 1.06 1.16 1.21 1.27 ... $ pivot: int [1:147] 1 2 3 4 5 6 7 8 10 11 ... $ tol  : num 1e-07 $ rank : int 21 - attr(*, "class")= chr "qr"

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