Unitary equivalence to a complex symmetric matrix: An algorithm |
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Authors: | James E Tener |
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Institution: | Department of Mathematics, Pomona College '08, Claremont, CA 91711, USA |
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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. |
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Keywords: | Unitary equivalence Complex symmetric matrix |
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