Spectral properties of sums of certain Kronecker products

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Abstract

We introduce two kinds of sums of Kronecker products, and their induced operators. We study the algebraic properties of these two kinds of matrices and their associated operators; the properties include their eigenvalues, their eigenvectors, and the relationships between their spectral radii or spectral abscissae. Furthermore, two projected matrices of these Kronecker products and their induced operators are also studied. © 2009 Elsevier Inc. All rights reserved.

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Feng, J. e., Lam, J., & Wei, Y. (2009). Spectral properties of sums of certain Kronecker products. Linear Algebra and Its Applications, 431(9), 1691–1701. https://doi.org/10.1016/j.laa.2009.06.004

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