Author(s) :
Christian Mehl
,
Leiba Rodman
The paper is published :
Linear Algebra Appl., 336: 71-98, 2001
MSC 2000
- 15A63 Quadratic and bilinear forms, inner products
-
15A21 Canonical forms, reductions, classification
Abstract :
We study classes of matrices defined by various normality properties with respect to an indefinite (complex) inner
product. The relationships between many such properties, all of them equivalent to the normality in case of a definite inner product,
are described. In particular, a ``canonical form" is developed for the class of matrices that are polynomials of a selfadjoint matrix.
Keywords :
indefinite inner products,normal matrices