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RedHat 9 (Linux i386) - man page for slanv2 (redhat section l)

SLANV2(l)					)					SLANV2(l)

NAME
       SLANV2  - compute the Schur factorization of a real 2-by-2 nonsymmetric matrix in standard
       form

SYNOPSIS
       SUBROUTINE SLANV2( A, B, C, D, RT1R, RT1I, RT2R, RT2I, CS, SN )

	   REAL 	  A, B, C, CS, D, RT1I, RT1R, RT2I, RT2R, SN

PURPOSE
       SLANV2 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.

ARGUMENTS
       A       (input/output) REAL
	       B       (input/output) REAL C	    (input/output)  REAL  D	   (input/output)
	       REAL On entry, the elements of the input matrix.  On exit, they are overwritten by
	       the elements of the standardised Schur form.

       RT1R    (output) REAL
	       RT1I    (output) REAL RT2R    (output) REAL RT2I    (output)  REAL  The	real  and
	       imaginary  parts  of  the  eigenvalues. If the eigenvalues are a complex conjugate
	       pair, RT1I > 0.

       CS      (output) REAL
	       SN      (output) REAL Parameters of the rotation matrix.

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).

LAPACK version 3.0			   15 June 2000 				SLANV2(l)


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