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

Efruz Özlem Mersin

doi:10.54974/fcmathsci.1859338

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

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.

Keywords

References

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Details

Primary Language

English

Subjects

Algebra and Number Theory

Journal Section

Research Article

Authors

Efruz Özlem Mersin ^*
0000-0001-6260-9063
Türkiye

Publication Date

July 31, 2026

Submission Date

January 8, 2026

Acceptance Date

June 2, 2026

Published in Issue

Year 2026 Volume: 7 Number: 2

DOI

https://doi.org/10.54974/fcmathsci.1859338

IZ

https://izlik.org/JA37XL48BK

Cite

RIS / Bibtex

APA

Mersin, E. Ö. (2026). The q-Analogues of Min and Max Matrices and their Algebraic Properties. Fundamentals of Contemporary Mathematical Sciences, 7(2), 135-155. https://doi.org/10.54974/fcmathsci.1859338

AMA

1.Mersin EÖ. The q-Analogues of Min and Max Matrices and their Algebraic Properties. FCMS. 2026;7(2):135-155. doi:10.54974/fcmathsci.1859338

Chicago

Mersin, Efruz Özlem. 2026. “The Q-Analogues of Min and Max Matrices and Their Algebraic Properties”. Fundamentals of Contemporary Mathematical Sciences 7 (2): 135-55. https://doi.org/10.54974/fcmathsci.1859338.

EndNote

Mersin EÖ (July 1, 2026) The q-Analogues of Min and Max Matrices and their Algebraic Properties. Fundamentals of Contemporary Mathematical Sciences 7 2 135–155.

IEEE

[1]E. Ö. Mersin, “The q-Analogues of Min and Max Matrices and their Algebraic Properties”, FCMS, vol. 7, no. 2, pp. 135–155, July 2026, doi: 10.54974/fcmathsci.1859338.

ISNAD

Mersin, Efruz Özlem. “The Q-Analogues of Min and Max Matrices and Their Algebraic Properties”. Fundamentals of Contemporary Mathematical Sciences 7/2 (July 1, 2026): 135-155. https://doi.org/10.54974/fcmathsci.1859338.

JAMA

1.Mersin EÖ. The q-Analogues of Min and Max Matrices and their Algebraic Properties. FCMS. 2026;7:135–155.

MLA

Mersin, Efruz Özlem. “The Q-Analogues of Min and Max Matrices and Their Algebraic Properties”. Fundamentals of Contemporary Mathematical Sciences, vol. 7, no. 2, July 2026, pp. 135-5, doi:10.54974/fcmathsci.1859338.

Vancouver

1.Efruz Özlem Mersin. The q-Analogues of Min and Max Matrices and their Algebraic Properties. FCMS. 2026 Jul. 1;7(2):135-5. doi:10.54974/fcmathsci.1859338