Several properties of anti-symmetry sign pattern

Yin Zhen Mei, Peng Wang, Yu Bin Gao

Research output: Contribution to journalArticlepeer-review

Abstract

Let A be a n-order anti-symmetric sign pattern. After characterizing the inertia of sign pattern Ak by using the methods of matrix theory and combinatorial theory, this paper presents several properties of the inertia of A, and a sufficient and necessary condition under which the sign pattern matrix A is orthogonal.

Original languageEnglish
Pages (from-to)202-203
Number of pages2
JournalZhongbei Daxue Xuebao (Ziran Kexue Ban)/Journal of North University of China (Natural Science Edition)
Volume27
Issue number3
StatePublished - Jun 2006
Externally publishedYes

Keywords

  • Entailment orthogonal
  • Inertia
  • Sign pattern
  • Skew symmetry

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