Bound on the Minimum Eigenvalue of H-Matrices Involving Hadamard Products

Bound on the Minimum Eigenvalue of H-Matrices Involving Hadamard Products

We present a new lower bound on the minimum eigenvalue of H-matrices involving Hadamard products τ(A1(α1)∘⋯∘Am(αm)), and we show that our lower bound is larger than the lower bound ∏k=1m[τ(Ak)]αk. Three examples verify our result.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Algebra (Hindawi) 2013-06, Vol.2013 (2013), p.1-4
Hauptverfasser: Du, Kun, Liu, Guo, Gu, Guiding
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We present a new lower bound on the minimum eigenvalue of H-matrices involving Hadamard products τ(A1(α1)∘⋯∘Am(αm)), and we show that our lower bound is larger than the lower bound ∏k=1m[τ(Ak)]αk. Three examples verify our result.
ISSN:2314-4106
2314-4114
DOI:10.1155/2013/102438