Sub-defect of product of doubly substochastic matrices
Lei Cao, Selcuk Koyuncu · Linear and Multilinear Algebra · 2016
The sub-defect of an doubly substochastic matrix S, denoted by sd(S), is defined to be the smallest integer k such that there exists an doubly stochastic matrix containing S as a submatrix. Let A and B be arbitrary doubly substochastic matrices. We show that AB is also a doubly substochastic matrix and