the dittert's function on a set of nonnegative matrices

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ID: 156351
1990
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Abstract
Let Kn denote the set of all n×n nonnegative matrices with entry sum n. For X∈Kn with row sum vector (r1,…,rn), column sum vector (c1,…,cn), Let ϕ(X)=∏iri+∏jcj−perX. Dittert's conjecture asserts that ϕ(X)≤2−n!/nn for all X∈Kn with equality iff X=[1/n]n×n. This paper investigates some properties of a certain subclass of Kn related to the function ϕ and the Dittert's conjecture.
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hwang1990internationalthe Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Suk Geun Hwang;Mun-Gu Sohn;Si-Ju Kim
Journal structural engineering and mechanics
Year 1990
DOI
10.1155/S0161171290000953
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