Article ID Journal Published Year Pages File Type
4603396 Linear Algebra and its Applications 2008 11 Pages PDF
Abstract

We consider some questions concerning transportation matrices with a certain nonzero pattern. For a given staircase pattern we characterize those row sum vectors R and column sum vectors S such that the corresponding class of transportation matrices with the given row and column sums and the given pattern is nonempty. Two versions of this problem are considered. Algorithms for finding matrices in these matrix classes are introduced and, finally, a connection to the notion of majorization is discussed.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory