Order invariant spectral properties for several matrices

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The collections of mn -by-n matrices over a field such that the products in any of the m ! orders share a common similarity class (resp. spectrum, trace) are studied. The spectral and trace order invariant properties are characterized and the similarity invariant one is related to them in several cases. A complete explicit description is given in case m = 3 and n = 2. © 2009 Elsevier Inc. All rights reserved.




Furtado, S., & Johnson, C. R. (2010). Order invariant spectral properties for several matrices. Linear Algebra and Its Applications, 432(8), 1950–1960. https://doi.org/10.1016/j.laa.2009.04.014

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