The Dittert's function on a set of nonnegative matrices
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290000953 |