%0 Journal Article %T Unitary equivalence to a complex symmetric matrix: geometric criteria %A Stephan Ramon Garcia %A Levon Balayan %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0907.2728v2