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Journals / Fundamentals of Contemporary Mathematical Sciences / 2026 / Volume: 7 Issue: 2

The q-Analogues of Min and Max Matrices and their Algebraic Properties

Efruz Özlem Mersin(AKSARAY ÜNİVERSİTESİ)0000-0001-6260-9063
Pages
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Publication Date
2026-07-31
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AI Summary & Key Takeaways

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

This study makes a significant contribution to the literature on Min and Max matrices by providing a comprehensive analysis of a q -dependent parametric extension of these matrices.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study introduces a new family of matrices, the q -analogues, by generalizing the classical Min and Max matrices with entries from the q -calculus.
📊
Key Findings & Data:The fundamental algebraic properties of these matrices, such as determinant, inverse, characteristic polynomial, LU decomposition, and Frobenius and spectral norms, are systematically investigated.
💡
Conclusion & Impact:This study makes a significant contribution to the literature on Min and Max matrices by providing a comprehensive analysis of a q -dependent parametric extension of these matrices.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Min matrix · Max matrix · q -calculus

Abstract

This study introduces a new family of matrices, the q -analogues, by generalizing the classical Min and Max matrices with entries from the q -calculus. The fundamental algebraic properties of these matrices, such as determinant, inverse, characteristic polynomial, LU decomposition, and Frobenius and spectral norms, are systematically investigated. The results are supported by low-dimensional numerical examples demonstrating the validity of the formulas. This study makes a significant contribution to the literature on Min and Max matrices by providing a comprehensive analysis of a q -dependent parametric extension of these matrices.

🔖

Cite This Article

Mersin, E. Ö. (2026). The q-Analogues of Min and Max Matrices and their Algebraic Properties. Fundamentals of Contemporary Mathematical Sciences, Volume: 7 Issue: 2. https://doi.org/10.54974/fcmathsci.1859338

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