Re: Diagonalizing a non-Hermitian Matrix
- To: mathgroup at smc.vnet.net
- Subject: [mg58772] Re: Diagonalizing a non-Hermitian Matrix
- From: AES <siegman at stanford.edu>
- Date: Sun, 17 Jul 2005 13:03:19 -0400 (EDT)
- Organization: Stanford University
- References: <dbd0d3$2ni$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
If you're working with non-Hermitian matrices, you may need to dig into the concepts of adjoint matrices and adjoint eigenvalues; biorthogonality; "nonnormal systems" and "nonnormal modes"; and associated concepts. There are some interesting physical problems in optics and quantum mechanics that involve non-Hermitian (sometimes also labelled "nonnormal") operators and their associated "nonnormal modes". I'm no world-renowned expert on this subject, but <http://www.stanford.edu/~siegman/nonnormal_modes_tamu_2003.pdf> is a 500K PDF-format presentation that will introduce some of the basic concepts.