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dlanv2.f(3)				      LAPACK				      dlanv2.f(3)

NAME
       dlanv2.f -

SYNOPSIS
   Functions/Subroutines
       subroutine dlanv2 (A, B, C, D, RT1R, RT1I, RT2R, RT2I, CS, SN)
	   DLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric matrix in
	   standard form.

Function/Subroutine Documentation
   subroutine dlanv2 (double precisionA, double precisionB, double precisionC, double precisionD,
       double precisionRT1R, double precisionRT1I, double precisionRT2R, double precisionRT2I,
       double precisionCS, double precisionSN)
       DLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric matrix in standard
       form.

       Purpose:

	    DLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric
	    matrix in standard form:

		 [ A  B ] = [ CS -SN ] [ AA  BB ] [ CS	SN ]
		 [ C  D ]   [ SN  CS ] [ CC  DD ] [-SN	CS ]

	    where either
	    1) CC = 0 so that AA and DD are real eigenvalues of the matrix, or
	    2) AA = DD and BB*CC < 0, so that AA + or - sqrt(BB*CC) are complex
	    conjugate eigenvalues.

       Parameters:
	   A

		     A is DOUBLE PRECISION

	   B

		     B is DOUBLE PRECISION

	   C

		     C is DOUBLE PRECISION

	   D

		     D is DOUBLE PRECISION
		     On entry, the elements of the input matrix.
		     On exit, they are overwritten by the elements of the
		     standardised Schur form.

	   RT1R

		     RT1R is DOUBLE PRECISION

	   RT1I

		     RT1I is DOUBLE PRECISION

	   RT2R

		     RT2R is DOUBLE PRECISION

	   RT2I

		     RT2I is DOUBLE PRECISION
		     The real and imaginary parts of the eigenvalues. If the
		     eigenvalues are a complex conjugate pair, RT1I > 0.

	   CS

		     CS is DOUBLE PRECISION

	   SN

		     SN is DOUBLE PRECISION
		     Parameters of the rotation matrix.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Further Details:

	     Modified by V. Sima, Research Institute for Informatics, Bucharest,
	     Romania, to reduce the risk of cancellation errors,
	     when computing real eigenvalues, and to ensure, if possible, that
	     abs(RT1R) >= abs(RT2R).

       Definition at line 128 of file dlanv2.f.

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

Version 3.4.2				 Tue Sep 25 2012			      dlanv2.f(3)
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