Unitary equivalence to a complex symmetric matrix: an algorithm.
Tue, 08/18/2009 - 11:53 — SomNambul
link: http://arxiv.org/abs/0908.2201
Abstract
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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