International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 4, Pages 709-716
The Dittert's function on a set of nonnegative matrices
1Department of Mathematics, Teachers College, Kyungpook University, Taegu 702-701, Korea
2Department of Mathematics Education, Andong University, Kyungpook, Andong 760-380, Korea
3Department of Mathematics, Sung Kyun Kwan University, Suwon 440-746, Korea
Received 6 November 1989; Revised 12 January 1990
Copyright © 1990 Suk Geun Hwang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let denote the set of all nonnegative matrices with entry sum . For with row sum vector , column sum vector , Let . Dittert's conjecture asserts that for all with equality iff . This paper investigates some properties of a certain subclass of related to the function and the Dittert's conjecture.