On the Frobenius Norm of Commutators Involving Exponential Matrices.

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Bibliographic Details
Title: On the Frobenius Norm of Commutators Involving Exponential Matrices.
Authors: OKSUZ, Ahmet1 ahmet.oksuz42@gmail.com, SOLAK, Suleyman2
Source: Gazi University Journal of Science. 2026, Vol. 39 Issue 1, p177-189. 13p.
Subjects: Commutators (Operator theory), Matrix exponential, Exponential functions, Mathematical bounds, Matrices (Mathematics), Matrix norms
Abstract: In this paper, we first establish a different generalization of the equality proposed by Farhadian for iterated exponentials with the matrix Jn, where Jn 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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:In this paper, we first establish a different generalization of the equality proposed by Farhadian for iterated exponentials with the matrix Jn, where Jn 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. [ABSTRACT FROM AUTHOR]
ISSN:13039709
DOI:10.35378/gujs.1712615