CLAGS2 man page on IRIX

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CLAGS2(3F)							    CLAGS2(3F)

NAME
     CLAGS2 - compute 2-by-2 unitary 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 ) where	U = ( CSU SNU ), V = ( CSV SNV
     ),

SYNOPSIS
     SUBROUTINE CLAGS2( UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV,
			CSQ, SNQ )

	 LOGICAL	UPPER

	 REAL		A1, A3, B1, B3, CSQ, CSU, CSV

	 COMPLEX	A2, B2, SNQ, SNU, SNV

PURPOSE
     CLAGS2 computes 2-by-2 unitary matrices U, V and Q, such that if ( UPPER
     ) then
	   ( -CONJG(SNU)  CSU )	     ( -CONJG(SNV) CSV )

       Q = (	 CSQ	  SNQ )
	   ( -CONJG(SNQ)  CSQ )

     Z' denotes the conjugate transpose of Z.

     The rows of the transformed A and B are parallel. Moreover, if the input
     2-by-2 matrix A is not zero, then the transformed (1,1) entry of A is not
     zero. If the input matrices A and B are both not zero, then the
     transformed (2,2) element of B is not zero, except when the first rows of
     input A and B are parallel and the second rows are zero.

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

									Page 1

CLAGS2(3F)							    CLAGS2(3F)

     CSU     (output) REAL
	     SNU     (output) COMPLEX The desired unitary matrix U.

     CSV     (output) REAL
	     SNV     (output) COMPLEX The desired unitary matrix V.

     CSQ     (output) REAL
	     SNQ     (output) COMPLEX The desired unitary matrix Q.

									Page 2

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