A Proof of a Conjecture on Monotonic Behavior of the Largest Eigenvalue of a Number-theoretic Matrix


International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Yunanistan, 22 - 28 Eylül 2014, cilt.1648 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1648
  • Doi Numarası: 10.1063/1.4913173
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan


In this study we investigate the monotonic behavior of the largest eigenvalue of the nxn matrix E-n(T) E-n, where the i j-entry of E-n is 1 if j vertical bar i and 0 otherwise and hence we present a proof of a part of the Mattila- Haukkanen conjecture [16]. MSC2010. 15A18, 15A42, 11A25