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slags2

SLAGS2(l)								 )								 SLAGS2(l)

NAME

       SLAGS2 - compute 2-by-2 orthogonal matrices U, V and Q, such that if ( UPPER ) then  U'*A*Q = U'*( A1 A2 )*Q = ( x 0 ) ( 0 A3 ) ( x x ) and
       V'*B*Q = V'*( B1 B2 )*Q = ( x 0 ) ( 0 B3 ) ( x x )  or if ( .NOT.UPPER ) then  U'*A*Q = U'*( A1 0 )*Q = ( x x ) ( A2 A3	)  (  0  x  )  and
       V'*B*Q = V'*( B1 0 )*Q = ( x x ) ( B2 B3 ) ( 0 x )  The rows of the transformed A and B are parallel, where  U = ( CSU SNU ), V = ( CSV SNV
       ), Q = ( CSQ SNQ ) ( -SNU CSU ) ( -SNV CSV ) ( -SNQ CSQ )  Z' denotes the transpose of Z

SYNOPSIS

       SUBROUTINE SLAGS2( UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ )

	   LOGICAL	  UPPER

	   REAL 	  A1, A2, A3, B1, B2, B3, CSQ, CSU, CSV, SNQ, SNU, SNV

PURPOSE

       SLAGS2 computes 2-by-2 orthogonal matrices U, V and Q, such that if ( UPPER ) then U'*A*Q = U'*( A1 A2 )*Q = ( x 0 ) ( 0 A3 ) ( x x  )  and
       V'*B*Q  = V'*( B1 B2 )*Q = ( x 0 ) ( 0 B3 ) ( x x ) or if ( .NOT.UPPER ) then U'*A*Q = U'*( A1 0 )*Q = ( x x ) ( A2 A3 ) ( 0 x ) and V'*B*Q
       = V'*( B1 0 )*Q = ( x x ) ( B2 B3 ) ( 0 x ) The rows of the transformed A and B are parallel, where U = ( CSU SNU ), V = ( CSV SNV ), Q = (
       CSQ SNQ ) ( -SNU CSU ) ( -SNV CSV ) ( -SNQ CSQ ) Z' denotes the transpose of Z.

ARGUMENTS

       UPPER   (input) LOGICAL
	       = .TRUE.: the input matrices A and B are upper triangular.
	       = .FALSE.: the input matrices A and B are lower triangular.

       A1      (input) REAL
	       A2	(input) REAL A3      (input) REAL On entry, A1, A2 and A3 are elements of the input 2-by-2 upper (lower) triangular matrix
	       A.

       B1      (input) REAL
	       B2      (input) REAL B3	    (input) REAL On entry, B1, B2 and B3 are elements of the input 2-by-2 upper (lower) triangular  matrix
	       B.

       CSU     (output) REAL
	       SNU     (output) REAL The desired orthogonal matrix U.

       CSV     (output) REAL
	       SNV     (output) REAL The desired orthogonal matrix V.

       CSQ     (output) REAL
	       SNQ     (output) REAL The desired orthogonal matrix Q.

LAPACK version 3.0						   15 June 2000 							 SLAGS2(l)