On the lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse

Özel M., Varol D.

GEORGIAN MATHEMATICAL JOURNAL, cilt.28, sa.3, ss.439-443, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1515/gmj-2019-2081
  • Dergi Adı: GEORGIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.439-443
  • Anahtar Kelimeler: Hadamard product, M-matrix, minimum eigenvalue, lower bounds, INEQUALITY
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

Recently, some authors have established a number of inequalities involving the minimum eigen-value for the Hadamard product of M-matrices. In this paper, we improve these results and give some new lower bounds on the minimum eigenvalue for the Hadamard product of an M-matrix A and its inverse A(-1). Finally, it is shown by the numerical examples that our bounds are also better than some previous results.