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

Authors

EMRAH KILIÇ
TALHA ARIKAN

DOI

10.3906/mat-1811-95

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

First Page

2010

Last Page

2024

Recommended Citation

KILIÇ, EMRAH and ARIKAN, TALHA (2019) "Studying new generalizations of Max-Min matrices with a novel approach," Turkish Journal of Mathematics: Vol. 43: No. 4, Article 16. https://doi.org/10.3906/mat-1811-95
Available at: https://journals.tubitak.gov.tr/math/vol43/iss4/16