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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Some interesting corollaries will be presented.
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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.
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Temel Bulgular & Veri:Moreover, their reciprocal analogues for a given sequence $\left\{ a_{n}\right\} $ have been studied.
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Sonuç & Katkı:Some interesting corollaries will be presented.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$LU$-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.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
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