complex symmetric matrix, complex symmetric operator, unitary equivalence, unitary orbit, UECSM
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.
© 2010 Element d.o.o.
Garcia, S.R., Balayan, L., Unitary Equivalence to a Complex Symmetric Matrix: Geometric Criteria, Operators and Matrices 4 (2010), No. 1, 53–76. MR2655004 (2011f:15068). doi: 10.7153/oam-04-02