Some majorization inequalities for coneigenvalues

Hans De Sterck, Minghua Lin

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1 Citation (Scopus)

Abstract

A new notion of coneigenvalue was introduced by Ikramov in [Kh.D. Ikramov. On pseudo-eigenvalues and singular numbers of a complex square matrix (in Russian). Zap. Nauchn. Semin. POMI, 334:111–120, 2006.]. This paper presents some majorization inequalities for coneigen- values, which extend some classical majorization relations for eigenvalues and singular values, and may serve as a basis for further investigations in this area.

Original languageEnglish
Article number49
Pages (from-to)669-677
Number of pages9
JournalElectronic Journal of Linear Algebra
Volume23
Publication statusPublished - 2012
Externally publishedYes

Keywords

  • Coneigenvalues
  • Conjugate normal matrices
  • Majorization

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