The Dittert's function on a set of nonnegative matrices

Suk Geun Hwang, Mun-Gu Sohn and Si-Ju Kim

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-8

Abstract:

Let K n denote the set of all n × n nonnegative matrices with entry sum n . For X ∈ K n with row sum vector ( r 1 , … , r n ) , column sum vector ( c 1 , … , c n ) , Let ϕ ( X ) = ∏ i r i + ∏ j c j − per X . Dittert's conjecture asserts that ϕ ( X ) ≤ 2 − n ! / n n for all X ∈ K n with equality iff X = [ 1 / n ] n × n . This paper investigates some properties of a certain subclass of K n related to the function ϕ and the Dittert's conjecture.

Date: 1990
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/13/794385.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/13/794385.xml (text/xml)

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:hin:jijmms:794385

DOI: 10.1155/S0161171290000953

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().