Unitary equivalence to a complex symmetric matrix: a modulus criterion

Unitary equivalence to a complex symmetric matrix: a modulus criterion

We develop a procedure for determining whether a square complex matrix is unitarily equivalent to a complex symmetric (i.e., self-transpose) matrix. Our approach has several advantages over existing methods. We discuss these differences and present a number of examples.

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Hauptverfasser: Garcia, Stephan Ramon, Poore, Daniel E, Wyse, Madeline K
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Functional Analysis
Mathematics - Operator Algebras
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Zusammenfassung:We develop a procedure for determining whether a square complex matrix is unitarily equivalent to a complex symmetric (i.e., self-transpose) matrix. Our approach has several advantages over existing methods. We discuss these differences and present a number of examples.
DOI:10.48550/arxiv.1003.2821