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Unitary equivalence to a complex symmetric matrix: An algorithm
Authors:James E Tener
Institution:Department of Mathematics, Pomona College '08, Claremont, CA 91711, USA
Abstract:We present a necessary and sufficient condition for a 3×3 matrix to be unitarily equivalent to a symmetric matrix with complex entries, and an algorithm whereby an arbitrary 3×3 matrix can be tested. This test generalizes to a necessary and sufficient condition that applies to almost every n×n matrix. The test is constructive in that it explicitly exhibits the unitary equivalence to a complex symmetric matrix.
Keywords:Unitary equivalence  Complex symmetric matrix
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