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

KILIÇ, EMRAH; ARIKAN, TALHA

doi:10.3906/mat-1811-95

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

KILIÇ E., ARIKAN T.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.4, ss.2010-2024, 2019 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 43 Sayı: 4
Basım Tarihi: 2019
Doi Numarası: 10.3906/mat-1811-95
Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.2010-2024
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Hacettepe Üniversitesi Adresli: Evet

Özet

We consider new kinds of max and min matrices, [a(max(i, j))](i,j >= 1) and [a(min(i, j))](i,j >= 1), as generalizations of the classical max and min matrices. Moreover, their reciprocal analogues for a given sequence {a(n)} 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.