Re: orthonormal eigenvectors
- To: mathgroup at smc.vnet.net
- Subject: [mg67641] Re: orthonormal eigenvectors
- From: hespeler <hespeler at gmx.de>
- Date: Mon, 3 Jul 2006 06:37:54 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
> Hi, I am trying to calculate eigenvalues and the > corresponding ORTHONORMAL eigenvectors of a square, > real, and hermitian matrix (10 X 10 matrix). I use > either Eigenvalues & Eigenvectors or Eigensystem. It > gives me real, distinct eigenvalues and the > corresponding eigenvectors. These eigenvectors are > normalized but not orthogonal to each other. Then I > use GramSchmidt method to make them orthogonal. It > makes them orthogonal, but these new orthogonal > eigenvectors are not consistent with the eigenvalues! > Do you have any idea how to sort out this problem? > I mean, is there any way to get eigenvalues with the > corresponding ORTHONORMAL eigenvectors? > > Thank you in advance. > Hi I do not know if this might help you, but why not to use the schurdecomposition instead of the eigendecomposition? The schur decomposition gives you an orthonormal matrix, just you are searching for and the eigenvalues can be calculated from the digonal or the 2x2 blocks around the diagonal.