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Journals / Gazi University Journal of Science / 2026 / Volume: 39 Issue: 1

On The Frobenius Norm of Commutators Involving Exponential Matrices

Ahmet Öksüz(NECMETTİN ERBAKAN ÜNİVERSİTESİ)0000-0002-7355-5176
Süleyman Solak(NECMETTIN ERBAKAN UNIVERSITY)0000-0003-4085-277X
Pages
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Publication Date
2026-01-10
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we obtain upper bounds for the Frobenius norms of these commutators.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data:Then, using this new generalization, we derive commutator identities involving iterated exponential matrices.
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Conclusion & Impact:Finally, we obtain upper bounds for the Frobenius norms of these commutators.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Matrix commutators · Matrix exponential · Frobenius norm

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.

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Cite This Article

Öksüz, A., Solak, S. (2026). On The Frobenius Norm of Commutators Involving Exponential Matrices. Gazi University Journal of Science, Volume: 39 Issue: 1. https://doi.org/10.35378/gujs.1712615

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