# Eigenvectors of decomposed matrix

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1. Nov 17, 2014

### Cuthalion

Hello everyone,

I've got the eigenvectors of a matrix H (Hessenberg matrix) obtained from the decomposition A=QHQ'.
Now I seek the eigenvectors of the matrix A. I've found somewhere that it should be : eigenvector_of_A=Q*eigenvector_of_H but some numerical test with matlab doesn't agree.
For the context: I'm using LAPACK (Fortran) routine to compute the eigenvectors of matrix for simulation purpose.

What's the solution ?