On the linear algebraic properties of (r,n)-min and (r,n)-max matrices

Dante Carrasco-Olivera, Can Kızılateş, Cristina Manzaneda, Hector Miranda · Filomat · 2025

This article introduces the (r, n)-min and (r, n)-max matrices, which generalize the concepts of the r-min, r-max, min, and max matrices. Subsequently, our focus is directed towards the discussion of the algebraic structure of the (r, n)-min and (r, n)-max matrices, their reciprocal matrices, and distinct rep-resentations. These efforts enable us to elucidate several mathematical properties, including determinants, inverses, and certain norms.

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