Unitary equivalence to a complex symmetric matrix: low dimensions
Functional Analysis
2012-09-04 v4 Operator Algebras
Abstract
A matrix is \emph{UECSM} if it is unitarily equivalent to a complex symmetric (i.e., self-transpose) matrix. We develop several techniques for studying this property in dimensions three and four. Among other things, we completely characterize nilpotent matrices which are UECSM and we settle an open problem which has lingered in the case. We conclude with a discussion concerning a crucial difference which makes dimension three so different from dimensions four and above
Cite
@article{arxiv.1104.4960,
title = {Unitary equivalence to a complex symmetric matrix: low dimensions},
author = {Stephan Ramon Garcia and Daniel E. Poore and James E. Tener},
journal= {arXiv preprint arXiv:1104.4960},
year = {2012}
}
Comments
15 pages. To appear in Lin. Alg. Appl