dlapll(l) [redhat man page]

DLAPLL(l)								 )								 DLAPLL(l)

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 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.

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 version 3.0						   15 June 2000 							 DLAPLL(l)

dlapll.f(3)							      LAPACK							       dlapll.f(3)

NAME

       dlapll.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dlapll (N, X, INCX, Y, INCY, SSMIN)
	   DLAPLL

Function/Subroutine Documentation
   subroutine dlapll (integerN, double precision, dimension( * )X, integerINCX, double precision, dimension( * )Y, integerINCY, double
       precisionSSMIN)
       DLAPLL

       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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 DOUBLE PRECISION
		     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:
	   November 2011

       Definition at line 103 of file dlapll.f.

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

Version 3.4.1							  Sun May 26 2013						       dlapll.f(3)