✨
AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Some interesting corollaries will be presented.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:We consider new kinds of max and min matrices, $\left[ a_{\max(i,j)}\right] _{i,j\geq1}$ and $\left[ a_{\min(i,j)}\right] _{i,j\geq1},$ as generalizations of the classical max and min matrices.
📊
Key Findings & Data:Moreover, their reciprocal analogues for a given sequence $\left\{ a_{n}\right\} $ have been studied.
💡
Conclusion & Impact:Some interesting corollaries will be presented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$LU$-decomposition · inverse matrix · Lehmer matrix
Abstract
We consider new kinds of max and min matrices, $\left[ a_{\max(i,j)}\right] _{i,j\geq1}$ and $\left[ a_{\min(i,j)}\right] _{i,j\geq1},$ as generalizations of the classical max and min matrices. Moreover, their reciprocal analogues for a given sequence $\left\{ a_{n}\right\} $ have been studied. We derive their $LU$ and Cholesky decompositions and their inverse matrices as well as the $LU$-decompositions of their inverses. Some interesting corollaries will be presented.
🔖
Cite This Article
KILIÇ, E., ARIKAN, T. (2019). Studying new generalizations of Max-Min matrices with a novel approach. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 2010–2024. https://ajindex.com/articles/208993