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Journals / Gazi University Journal of Science / 2016 / Cilt: 29 - Sayı: 3

A LATTICE-THEORETIC GENERALIZATION OF THE LEHMER MATRIX

Ercan ALTINIŞIK
Fatih YAĞCI
Mehmet YILDIZ
Pages
675–679
Publication Date
2016-09-30
DOI
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AI Summary & Key Takeaways

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

These formulae are generalization of formulae for the determinant and the inverse of the classical Lehmer matrix and most of its generalizations presented in the literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we present a lattice-theoretic generalization of the Lehmer matrix.
📊
Key Findings & Data:We obtain some certain formulae for the determinant and the entries of the inverse of this new generalization by using lattice-theoretic tools.
💡
Conclusion & Impact:These formulae are generalization of formulae for the determinant and the inverse of the classical Lehmer matrix and most of its generalizations presented in the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:the Lehmer matrix · lattice · meet matrix

Abstract

In this paper, we present a lattice-theoretic generalization of the Lehmer matrix. We obtain some certain formulae for the determinant and the entries of the inverse of this new generalization by using lattice-theoretic tools. These formulae are generalization of formulae for the determinant and the inverse of the classical Lehmer matrix and most of its generalizations presented in the literature.

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Cite This Article

ALTINIŞIK, E., YAĞCI, F., YILDIZ, M. (2016). A LATTICE-THEORETIC GENERALIZATION OF THE LEHMER MATRIX. Gazi University Journal of Science, Cilt: 29 - Sayı: 3, 675–679. https://ajindex.com/articles/254707

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