Doubly stochastic matrices with some equal diagonal sums |
| |
Authors: | Eva Achilles |
| |
Institution: | Department of Mathematics University of Houston Houston, Texas 77004, USA |
| |
Abstract: | Let A be doubly stochastic, and let τ1,…,τm be m mutually disjoint zero diagonals in A, 1?m?n-1. E. T. H. Wang conjectured that if every diagonal in A disjoint from each τk (k=1,…,m) has a constant sum, then all entries in A off the m zero diagonals τk are equal to (n?m)-1. Sinkhorn showed the conjecture to be correct. In this paper we generalize this result for arbitrary doubly stochastic zero patterns. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|