Studying new generalizations of Max-Min matrices with a novel approach

Authors : Emrah Kiliç, Talha Arikan

Pages : 2010-2024

View : 9 | Download : 5

Publication Date : 9999-12-31

Article Type : Makaleler

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.
Keywords : $LU$-decomposition, inverse matrix, Lehmer matrix, min and max matrices