Unitary equivalence to a complex symmetric matrix: geometric criteria

Abstract

We develop several methods, based on the geometric relationship between the eigenspaces of a matrix and its adjoint, for determining whether a square matrix having distinct eigenvalues is unitarily equivalent to a complex symmetric matrix. Equivalently, we characterize those matrices having distinct eigenvalues which lie in the unitary orbit of the complex symmetric matrices.

arXiv comment21 pages. Minor corrections. To appear in Operators and Matrices

Cited by in corpus (2)

• Complex symmetric partial isometries
• Unitary equivalence of a matrix to its transpose