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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
Abstract

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

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