On The Frobenius Norm of Commutators Involving Exponential Matrices

Abstract

In this paper, we first establish a different generalization of the equality proposed by Farhadian for iterated exponentials with the matrix J_n, where J_n is an n×n matrix with all entries equal to 1. Then, using this new generalization, we derive commutator identities involving iterated exponential matrices. Finally, we obtain upper bounds for the Frobenius norms of these commutators.

Keywords

• Matrix commutators
• Matrix exponential
• Frobenius norm

References

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