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dlanv2 examples
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Man Page Details
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NAME
       DLANV2  -  the Schur factorization of a real 2-by-2 nonsymmetric matrix
       in standard form

SYNOPSIS
       SUBROUTINE DLANV2( A, B, C, D, RT1R, RT1I, RT2R, RT2I, CS, SN )

           DOUBLE         PRECISION A, B, C, CS, D, RT1I, RT1R, RT2I, RT2R, SN

PURPOSE
       DLANV2  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 conju-
       gate eigenvalues.


ARGUMENTS
       A       (input/output) DOUBLE PRECISION
               B       (input/output) DOUBLE PRECISION C        (input/output)
               DOUBLE  PRECISION  D        (input/output)  DOUBLE PRECISION On
               entry, the elements of the input matrix.   On  exit,  they  are
               overwritten by the elements of the standardised Schur form.

       RT1R    (output) DOUBLE PRECISION
               RT1I     (output) DOUBLE PRECISION RT2R    (output) DOUBLE PRE-
               CISION RT2I    (output) DOUBLE PRECISION The real and imaginary
               parts of the eigenvalues. If the eigenvalues are a complex con-
               jugate pair, RT1I > 0.

       CS      (output) DOUBLE PRECISION
               SN      (output) DOUBLE PRECISION Parameters  of  the  rotation
               matrix.

