dlapll man page on Scientific

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```DLAPLL(1)	    LAPACK auxiliary routine (version 3.2)	     DLAPLL(1)

NAME
DLAPLL - two column vectors X and Y, let	  A = ( X Y )

SYNOPSIS
SUBROUTINE DLAPLL( N, X, INCX, Y, INCY, SSMIN )

INTEGER	  INCX, INCY, N

DOUBLE	  PRECISION SSMIN

DOUBLE	  PRECISION X( * ), Y( * )

PURPOSE
Given two column vectors X and Y, let The subroutine first computes the
QR factorization of A = Q*R, and then computes the SVD  of  the	2-by-2
upper triangular matrix R.  The smaller singular value of R is returned
in SSMIN, which is used as the measurement of the linear dependency  of
the vectors X and Y.

ARGUMENTS
N       (input) INTEGER
The length of the vectors X and Y.

X       (input/output) DOUBLE PRECISION array,
dimension  (1+(N-1)*INCX)  On entry, X contains the N-vector X.
On exit, X is overwritten.

INCX    (input) INTEGER
The increment between successive elements of X. INCX > 0.

Y       (input/output) DOUBLE PRECISION array,
dimension (1+(N-1)*INCY) On entry, Y contains the  N-vector  Y.
On exit, Y is overwritten.

INCY    (input) INTEGER
The increment between successive elements of Y. INCY > 0.

SSMIN   (output) DOUBLE PRECISION
The smallest singular value of the N-by-2 matrix A = ( X Y ).

LAPACK auxiliary routine (versioNovember 2008			     DLAPLL(1)
```
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