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Details for article 9 of 12 found articles
| Title: |
Remarks on a conjecture of M. Marcus and H. Minc |
| Author: |
Foregger, Thomas H. |
| Appeared in: |
Linear & multilinear algebra |
| Paging: | Volume 7 (1979) nr. 2 pages 123-126 |
| Year: |
1979 |
| Contents: |
In this note we prove that the following conjecture of Marcus and Minc is true for n=4. For all n×n doubly stochastic matrices S, per ((nJn-S)/(n-1))≤per(S) with equality if and only if S=Jn. It is also shown that for ail 3×3 doubly stochastic matrices S, and all [image omitted] per (S) with equality if and only if [image omitted] and S is (up to permutations of rows and columns) [image omitted] , where P is a full cycle permutation matrix. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 9 of 12 found articles
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