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

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KILIÇ E., ARIKAN T.

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

  • 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
  • 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.