Unitary Equivalence to a Complex Symmetric Matrix: A Modulus Criterion

Authors

Stephan Ramon Garcia, Pomona CollegeFollow
Daniel E. Poore '11, Pomona College
Madeline K. Wyse '11, Pomona College

Student Co-author

Pomona Undergraduate

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2011

Keywords

complex symmetric matrix, complex symmetric operators and matrices, unitary equivalence, unitary similarity, unitary orbit, tranpose, UECSM

Abstract

We develop a procedure for determining whether a square complex matrix is unitarily equivalent to a complex symmetric (i.e., self-transpose) matrix. We compare our approach to several existing methods [1, 19, 20] and present a number of examples.

Comments

This article is also available from Operators and Matrices at: http://oam.ele-math.com/05-19/Unitary-equivalence-to-a-complex-symmetric-matrix-a-modulus-criterion

Rights Information

© 2011 Element d.o.o.

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.7153/oam-05-19

Recommended Citation

Garcia, S.R., Poore, D.E., Wyse, M.K., Unitary equivalence to a complex symmetric matrix: a modulus criterion, Operators and Matrices 2 (2011), no. 5, 273-287.