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slapll.f(3)				      LAPACK				      slapll.f(3)

NAME
       slapll.f -

SYNOPSIS
   Functions/Subroutines
       subroutine slapll (N, X, INCX, Y, INCY, SSMIN)
	   SLAPLL measures the linear dependence of two vectors.

Function/Subroutine Documentation
   subroutine slapll (integerN, real, dimension( * )X, integerINCX, real, dimension( * )Y,
       integerINCY, realSSMIN)
       SLAPLL measures the linear dependence of two vectors.

       Purpose:

	    Given two column vectors X and Y, let

				 A = ( X Y ).

	    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.

       Parameters:
	   N

		     N is INTEGER
		     The length of the vectors X and Y.

	   X

		     X is REAL array,
				    dimension (1+(N-1)*INCX)
		     On entry, X contains the N-vector X.
		     On exit, X is overwritten.

	   INCX

		     INCX is INTEGER
		     The increment between successive elements of X. INCX > 0.

	   Y

		     Y is REAL array,
				    dimension (1+(N-1)*INCY)
		     On entry, Y contains the N-vector Y.
		     On exit, Y is overwritten.

	   INCY

		     INCY is INTEGER
		     The increment between successive elements of Y. INCY > 0.

	   SSMIN

		     SSMIN is REAL
		     The smallest singular value of the N-by-2 matrix A = ( X Y ).

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 103 of file slapll.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2				 Tue Sep 25 2012			      slapll.f(3)
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