slags2.f(3)							      LAPACK							       slags2.f(3)

NAME

       slags2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slags2 (UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ)
	   SLAGS2 computes 2-by-2 orthogonal matrices U, V, and Q, and applies them to matrices A and B such that the rows of the transformed A
	   and B are parallel.

Function/Subroutine Documentation
   subroutine slags2 (logicalUPPER, realA1, realA2, realA3, realB1, realB2, realB3, realCSU, realSNU, realCSV, realSNV, realCSQ, realSNQ)
       SLAGS2 computes 2-by-2 orthogonal matrices U, V, and Q, and applies them to matrices A and B such that the rows of the transformed A and B
       are parallel.

       Purpose:

	    SLAGS2 computes 2-by-2 orthogonal matrices U, V and Q, such
	    that if ( UPPER ) then

		      U**T *A*Q = U**T *( A1 A2 )*Q = ( x  0  )
					( 0  A3 )     ( x  x  )
	    and
		      V**T*B*Q = V**T *( B1 B2 )*Q = ( x  0  )
				       ( 0  B3 )     ( x  x  )

	    or if ( .NOT.UPPER ) then

		      U**T *A*Q = U**T *( A1 0	)*Q = ( x  x  )
					( A2 A3 )     ( 0  x  )
	    and
		      V**T*B*Q = V**T*( 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**T denotes the transpose of Z.

       Parameters:
	   UPPER

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

	   A1

		     A1 is REAL

	   A2

		     A2 is REAL

	   A3

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

	   B1

		     B1 is REAL

	   B2

		     B2 is REAL

	   B3

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

	   CSU

		     CSU is REAL

	   SNU

		     SNU is REAL
		     The desired orthogonal matrix U.

	   CSV

		     CSV is REAL

	   SNV

		     SNV is REAL
		     The desired orthogonal matrix V.

	   CSQ

		     CSQ is REAL

	   SNQ

		     SNQ is REAL
		     The desired orthogonal matrix Q.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 152 of file slags2.f.

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

Version 3.4.2							  Tue Sep 25 2012						       slags2.f(3)