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arXiv · 0908.2201

Unitary equivalence to a complex symmetric matrix: an algorithm

James E. Tener
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Abstract

We present a necessary and sufficient condition for a 3 by 3 matrix to be unitarily equivalent to a symmetric matrix with complex entries, and an algorithm whereby an arbitrary 3 by 3 matrix can be tested. This test generalizes to a necessary and sufficient condition that applies to almost every n by n matrix. The test is constructive in that it explicitly exhibits the unitary equivalence to a complex symmetric matrix.

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James E. Tener. 2009-08-15. Unitary equivalence to a complex symmetric matrix: an algorithm. https://arxiv.org/abs/0908.2201

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