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NAME
     slanv2 - compute the Schur factorization of  a  real  2-by-2
     nonsymmetric matrix in standard form

SYNOPSIS
     SUBROUTINE SLANV2( A, B, C, D, RT1R, RT1I, RT2R,  RT2I,  CS,
               SN )

     REAL A, B, C, CS, D, RT1I, RT1R, RT2I, RT2R, SN



     #include <sunperf.h>

     void slanv2(float *sa, float *sb, float *sc, float *d, float
               *rt1r,  float  *rt1i,  float  *rt2r,  float *rt2i,
               float *cs, float *sn) ;

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.


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

     RT1R      (output) REAL
               RT1I    (output) REAL RT2R    (output)  REAL  RT2I
               (output)  REAL The real and imaginary parts of the
               eigenvalues. If the  eigenvalues  are  both  real,
               abs(RT1R)  >=  abs(RT2R); if the eigenvalues are a
               complex conjugate pair, RT1I > 0.

     CS        (output) REAL
               SN      (output) REAL Parameters of  the  rotation
               matrix.

Партнёры:

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