NAME

       slanv2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slanv2 (A, B, C, D, RT1R, RT1I, RT2R, RT2I, CS, SN)
           SLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric matrix in
           standard form.

Function/Subroutine Documentation

   subroutine slanv2 (real A, real B, real C, real D, real RT1R, real RT1I, real RT2R, real RT2I,
       real CS, real SN)
       SLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric matrix in standard
       form.

       Purpose:

            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.

       Parameters:
           A

                     A is REAL

           B

                     B is REAL

           C

                     C is REAL

           D

                     D is REAL
                     On entry, the elements of the input matrix.
                     On exit, they are overwritten by the elements of the
                     standardised Schur form.

           RT1R

                     RT1R is REAL

           RT1I

                     RT1I is REAL

           RT2R

                     RT2R is REAL

           RT2I

                     RT2I is REAL
                     The real and imaginary parts of the eigenvalues. If the
                     eigenvalues are a complex conjugate pair, RT1I > 0.

           CS

                     CS is REAL

           SN

                     SN is REAL
                     Parameters of the rotation matrix.

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           September 2012

       Further Details:

             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).

Author

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