.TH "slags2.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
slags2.f \- 
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBslags2\fP (UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ)"
.br
.RI "\fI\fBSLAGS2\fP 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\&. \fP"
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine slags2 (logicalUPPER, realA1, realA2, realA3, realB1, realB2, realB3, realCSU, realSNU, realCSV, realSNV, realCSQ, realSNQ)"

.PP
\fBSLAGS2\fP 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\&.  
.PP
\fBPurpose: \fP
.RS 4

.PP
.nf
 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.
.fi
.PP
 
.RE
.PP
\fBParameters:\fP
.RS 4
\fIUPPER\fP 
.PP
.nf
          UPPER is LOGICAL
          = .TRUE.: the input matrices A and B are upper triangular.
          = .FALSE.: the input matrices A and B are lower triangular.
.fi
.PP
.br
\fIA1\fP 
.PP
.nf
          A1 is REAL
.fi
.PP
.br
\fIA2\fP 
.PP
.nf
          A2 is REAL
.fi
.PP
.br
\fIA3\fP 
.PP
.nf
          A3 is REAL
          On entry, A1, A2 and A3 are elements of the input 2-by-2
          upper (lower) triangular matrix A.
.fi
.PP
.br
\fIB1\fP 
.PP
.nf
          B1 is REAL
.fi
.PP
.br
\fIB2\fP 
.PP
.nf
          B2 is REAL
.fi
.PP
.br
\fIB3\fP 
.PP
.nf
          B3 is REAL
          On entry, B1, B2 and B3 are elements of the input 2-by-2
          upper (lower) triangular matrix B.
.fi
.PP
.br
\fICSU\fP 
.PP
.nf
          CSU is REAL
.fi
.PP
.br
\fISNU\fP 
.PP
.nf
          SNU is REAL
          The desired orthogonal matrix U.
.fi
.PP
.br
\fICSV\fP 
.PP
.nf
          CSV is REAL
.fi
.PP
.br
\fISNV\fP 
.PP
.nf
          SNV is REAL
          The desired orthogonal matrix V.
.fi
.PP
.br
\fICSQ\fP 
.PP
.nf
          CSQ is REAL
.fi
.PP
.br
\fISNQ\fP 
.PP
.nf
          SNQ is REAL
          The desired orthogonal matrix Q.
.fi
.PP
 
.RE
.PP
\fBAuthor:\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP
\fBDate:\fP
.RS 4
September 2012 
.RE
.PP

.PP
Definition at line 152 of file slags2\&.f\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.