04-26-2013
Give real data example on you like your output.
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LEARN ABOUT REDHAT
dlanv2
DLANV2(l) ) DLANV2(l)
NAME
DLANV2 - compute 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 con-
jugate 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 PRECISION RT2I (output) DOUBLE PRECISION The real and imaginary parts
of the eigenvalues. If the eigenvalues are a complex conjugate pair, RT1I > 0.
CS (output) DOUBLE PRECISION
SN (output) DOUBLE PRECISION Parameters of the rotation matrix.
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).
LAPACK version 3.0 15 June 2000 DLANV2(l)