Linear Algebra and Its Applications
The collections of m n-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. (C) 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.