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# 1-1-2010 Unitary Equivalence to a Complex Symmetric Matrix : Geometric Criteria

@inproceedings{Garcia2010112010UE, title={1-1-2010 Unitary Equivalence to a Complex Symmetric Matrix : Geometric Criteria}, author={Stephan Ramon Garcia}, year={2010} }

- Published 2010

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. Mathematics subject classification (2000): 15A57, 47A30.