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Order invariant spectral properties for several matrices
Furtado, Susana Johnson, Charles R. Furtado, Susana
Furtado, Susana
Johnson, Charles R.
Furtado, Susana
Abstract
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.
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2010-01-01
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order_invariant.pdf
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Mathematics
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10.1016/j.laa.2009.04.014