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.
Fields of Study & Subjects
Matrix Theory and Algorithms
Advanced Mathematical Theories and Applications
graph theory and CDMA systems
Publication details
- Journal / source
- GAZI UNIVERSITY JOURNAL OF SCIENCE
- Issue
- Advanced Online Publication
- Publication date
- 10 January 2026