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SLANV2(3F)							    SLANV2(3F)

NAME    [Toc]    [Back]

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

SYNOPSIS    [Toc]    [Back]

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

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

PURPOSE    [Toc]    [Back]

     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    [Toc]    [Back]

     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 both real,	abs(RT1R) >= abs(RT2R);	if the
	     eigenvalues are a complex conjugate pair, RT1I > 0.

     CS	     (output) REAL
	     SN	     (output) REAL Parameters of the rotation matrix.
SLANV2(3F)							    SLANV2(3F)

NAME    [Toc]    [Back]

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

SYNOPSIS    [Toc]    [Back]

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

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

PURPOSE    [Toc]    [Back]

     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    [Toc]    [Back]

     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 both real,	abs(RT1R) >= abs(RT2R);	if the
	     eigenvalues are a complex conjugate pair, RT1I > 0.

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


									PPPPaaaaggggeeee 1111
[ Back ]
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