slags2(3S)

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

IMPLEMENTATION
     These routines are part of the SCSL Scientific Library and can be loaded
     using either the -lscs or the -lscs_mp option.  The -lscs_mp option
     directs the linker to use the multi-processor version of the library.

     When linking to SCSL with -lscs or -lscs_mp, the default integer size is
     4 bytes (32 bits). Another version of SCSL is available in which integers
     are 8 bytes (64 bits).  This version allows the user access to larger
     memory sizes and helps when porting legacy Cray codes.  It can be loaded
     by using the -lscs_i8 option or the -lscs_i8_mp option. A program may use
     only one of the two versions; 4-byte integer and 8-byte integer library
     calls cannot be mixed.

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.

SEE ALSO
     INTRO_LAPACK(3S), INTRO_SCSL(3S)

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