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On Real Algebras Generated by Positive and Nonnegative Matrices by Kolegov, N. A. is a scholarly article available to read on EtoBox.

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Algebras generated by strictly positive matrices are described up to similarity, including the commutative, simple, and semisimple cases. We provide sufficient conditions for some block diagonal matrix algebras to be generated by a set of nonnegative matrices up to similarity. Also we find all realizable dimensions of algebras generated by two nonnegative semi-commuting matrices. The last result provides the solution to the problem posed by M. Kandi\'{c}, K. \v{S}ivic (2017).

Author

Kolegov, N. A.

Published

2020

Language

EN