Subject: Pseudo-Hermiticity

From: ChiYung Yam <yamcy^at^yangtze.hku.hk>
Date: Mon, 6 Jun 2005 14:30:47 +0800 (HKT)

Dear all,

I found from the literature that a matrix will have all real
eigenvalues if it is pseudo-hermitian. For pseudo-hermitian, it means

\etta A \etta^{-1} = A^{daggar}

where \etta is a hermitian and invertible matrix and A is the matrix we
are interested in.

However, if given a matrix with complex eigenvalues, how can I make it
pseudo-hermitian with minimal changes to the matrix elements? Is there
any simple way to do it?
Thank you very much

Best regards,
Yam