.TH "slanv2.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
slanv2.f \- 
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBslanv2\fP (A, B, C, D, RT1R, RT1I, RT2R, RT2I, CS, SN)"
.br
.RI "\fI\fBSLANV2\fP computes the Schur factorization of a real 2-by-2 nonsymmetric matrix in standard form\&. \fP"
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine slanv2 (realA, realB, realC, realD, realRT1R, realRT1I, realRT2R, realRT2I, realCS, realSN)"

.PP
\fBSLANV2\fP computes the Schur factorization of a real 2-by-2 nonsymmetric matrix in standard form\&.  
.PP
\fBPurpose: \fP
.RS 4

.PP
.nf
 SLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric
 matrix in standard form:

      [ A  B ] = [ CS -SN ] [ AA  BB ] [ CS  SN ]
      [ C  D ]   [ SN  CS ] [ CC  DD ] [-SN  CS ]

 where either
 1) CC = 0 so that AA and DD are real eigenvalues of the matrix, or
 2) AA = DD and BB*CC < 0, so that AA + or - sqrt(BB*CC) are complex
 conjugate eigenvalues.
.fi
.PP
 
.RE
.PP
\fBParameters:\fP
.RS 4
\fIA\fP 
.PP
.nf
          A is REAL
.fi
.PP
.br
\fIB\fP 
.PP
.nf
          B is REAL
.fi
.PP
.br
\fIC\fP 
.PP
.nf
          C is REAL
.fi
.PP
.br
\fID\fP 
.PP
.nf
          D is REAL
          On entry, the elements of the input matrix.
          On exit, they are overwritten by the elements of the
          standardised Schur form.
.fi
.PP
.br
\fIRT1R\fP 
.PP
.nf
          RT1R is REAL
.fi
.PP
.br
\fIRT1I\fP 
.PP
.nf
          RT1I is REAL
.fi
.PP
.br
\fIRT2R\fP 
.PP
.nf
          RT2R is REAL
.fi
.PP
.br
\fIRT2I\fP 
.PP
.nf
          RT2I is REAL
          The real and imaginary parts of the eigenvalues. If the
          eigenvalues are a complex conjugate pair, RT1I > 0.
.fi
.PP
.br
\fICS\fP 
.PP
.nf
          CS is REAL
.fi
.PP
.br
\fISN\fP 
.PP
.nf
          SN is REAL
          Parameters of the rotation matrix.
.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
\fBFurther Details: \fP
.RS 4

.PP
.nf
  Modified by V. Sima, Research Institute for Informatics, Bucharest,
  Romania, to reduce the risk of cancellation errors,
  when computing real eigenvalues, and to ensure, if possible, that
  abs(RT1R) >= abs(RT2R).
.fi
.PP
 
.RE
.PP

.PP
Definition at line 128 of file slanv2\&.f\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.