A new generalization of min and max matrices and their reciprocals counterparts
Carlos M. da Fonseca, Can Kızılateş, Nazlıhan Terzioğlu
Abstract
In this paper, we introduce a new generalization of the min and max matrices called geometric min matrix and geometric max matrix, respectively. We discuss some of their properties, such as determinants, inverses, factorizations, and identities for their characteristic polynomials. Moreover, their reciprocal analogs for these newly established matrices are examined.
Topics & Concepts
MathematicsGeneralizationCombinatoricsDiscrete mathematicsPure mathematicsMathematical analysisMatrix Theory and Algorithmsgraph theory and CDMA systemsAdvanced Optimization Algorithms Research