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

Abstract

We consider new kinds of max and min matrices, ${left[a_{maxleft(i,jright)}right]}_{i,jgeq1}$ and ${left[a_{maxleft(i,jright)}right]}_{i,jgeq1}$ as generalizations ofthe classical max and min matrices. Moreover, their reciprocal analogues for a given sequence fang have been studied.We derive their LU and Cholesky decompositions and their inverse matrices as well as the LU -decompositions of theirinverses. Some interesting corollaries will be presented.