Bounds for eigenvalues of arrowhead matrices and their applications to hub matrices and wireless communications

Bruce W. Suter, Lixin Shen

Research output: Contribution to journalArticle

7 Scopus citations


This paper considers the lower and upper bounds of eigenvalues of arrow-head matrices. We propose a parameterized decomposition of an arrowhead matrix which is a sum of a diagonal matrix and a special kind of arrowhead matrix whose eigenvalues can be computed explicitly. The eigenvalues of the arrowhead matrix are then estimated in terms of eigenvalues of the diagonal matrix and the special arrowhead matrix by using Weyl's theorem. Improved bounds of the eigenvalues are obtained by choosing a decomposition of the arrowhead matrix which can provide best bounds. Some applications of these results to hub matrices and wireless communications are discussed.

Original languageEnglish (US)
Article number379402
JournalEurasip Journal on Advances in Signal Processing
StatePublished - Dec 1 2009


ASJC Scopus subject areas

  • Signal Processing
  • Information Systems
  • Hardware and Architecture
  • Electrical and Electronic Engineering

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