On an extension of Fu-Markham matrix theory result to simple Euclidean Jordan algebras

Bo Zhong (), Yongqiang Chen () and Jiyuan Tao ()
Additional contact information
Bo Zhong: Beijing Jiaotong University
Yongqiang Chen: Henan Normal University
Jiyuan Tao: Loyola University Maryland

Annals of Operations Research, 2016, vol. 243, issue 1, No 15, 245-248

Abstract: Abstract In matrix theory, Fu and Markham showed using majorization technique that if a Hermitian matrix satisfies certain conditions, then the matrix must be block-diagonal. In this paper, we extend this result to the setting of simple Euclidean Jordan algebras by using the Cauchy interlacing theorem and the Schur complement Cauchy interlacing theorem.

Keywords: Euclidean Jordan algebra; Cauchy interlacing theorem; Schur complement Cauchy interlacing theorem (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10479-013-1464-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:annopr:v:243:y:2016:i:1:d:10.1007_s10479-013-1464-7

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1007/s10479-013-1464-7

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().