On the linear algebraic properties of<i> (r,</i><i> n</i>)-min and<i> (r,</i><i> n</i>)-max matrices
Dante Carrasco-Olivera, Can Kizilates, Cristina Manzaneda, Hector F. Miranda
article (Uluslararası, Hakemli) | Yazar(lar): Dante Carrasco-Olivera, Can Kizilates, Cristina Manzaneda, Hector F. Miranda | Yıl: 2025 | Dergi/Kurum: FILOMAT | İndeks: WOS.SCI | DOI: 10.2298/fil2533837c | Anahtar Kelimeler: r-max matrix, r-min matrix, r-circulant matrix, (r,n)-matrix — Özet: This article introduces the
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 representations. These efforts enable us to elucidate several mathematical properties, including determinants, inverses, and certain norms.