No, GSL does not currently have routines to find eigenvectors
of a general complex matrix. Your best bet is to use LAPACK.

On Thu, Jul 30, 2009 at 04:49:36PM +0200, BERTRAND Joel wrote:
>       Hello,
>
>       I'm trying to obtain a SCHUR decomposition of a complex matrix. I  
> haven't found any solution with GSL. On a real matrix, I can obtain a  
> real SCHUR decomposition with gsl_eigen_nonsymm_Z() and  
> gsl_blas_dgemm(). Is there any solution to obtain a complex Schur  
> decomposition with GSL ?
>
>       Thanks in advance,
>
>       JKB
>
>
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