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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