Eigenvalues of the sum and product of anticommuting matrices

Ponomarenko, Vadim; Selstad, Louis

doi:10.2140/involve.2020.13.625

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Eigenvalues of the sum and product of anticommuting matrices

Vadim Ponomarenko and Louis Selstad

Vol. 13 (2020), No. 4, 625–632

DOI: 10.2140/involve.2020.13.625

Abstract

Improving on a recent result of Zhong, we characterize the eigenvalues of $A B$ and $A + B$ for square matrices $A$ , $B$ satisfying $A B + B A = 0$ .

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Keywords

anticommutative, eigenvalues, matrix spectrum

Mathematical Subject Classification 2010

Primary: 15A18

Milestones

Received: 18 February 2020

Revised: 1 June 2020

Accepted: 2 June 2020

Published: 20 November 2020

Communicated by Chi-Kwong Li

Authors

Vadim Ponomarenko
San Diego State University San Diego, CA United States

Louis Selstad
San Diego State University San Diego, CA United States

Vol. 13, No. 4, 2020