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dlartgs

dlartgs.f(3)							      LAPACK							      dlartgs.f(3)

NAME

       dlartgs.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dlartgs (X, Y, SIGMA, CS, SN)
	   DLARTGS generates a plane rotation designed to introduce a bulge in implicit QR iteration for the bidiagonal SVD problem.

Function/Subroutine Documentation
   subroutine dlartgs (double precisionX, double precisionY, double precisionSIGMA, double precisionCS, double precisionSN)
       DLARTGS generates a plane rotation designed to introduce a bulge in implicit QR iteration for the bidiagonal SVD problem.

       Purpose:

	    DLARTGS generates a plane rotation designed to introduce a bulge in
	    Golub-Reinsch-style implicit QR iteration for the bidiagonal SVD
	    problem. X and Y are the top-row entries, and SIGMA is the shift.
	    The computed CS and SN define a plane rotation satisfying

	       [  CS  SN  ]  .	[ X^2 - SIGMA ]  =  [ R ],
	       [ -SN  CS  ]	[    X * Y    ]     [ 0 ]

	    with R nonnegative.  If X^2 - SIGMA and X * Y are 0, then the
	    rotation is by PI/2.

       Parameters:
	   X

		     X is DOUBLE PRECISION
		     The (1,1) entry of an upper bidiagonal matrix.

	   Y

		     Y is DOUBLE PRECISION
		     The (1,2) entry of an upper bidiagonal matrix.

	   SIGMA

		     SIGMA is DOUBLE PRECISION
		     The shift.

	   CS

		     CS is DOUBLE PRECISION
		     The cosine of the rotation.

	   SN

		     SN is DOUBLE PRECISION
		     The sine of the rotation.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 91 of file dlartgs.f.

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

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