Electronic Journal of Linear Algebra
Row substochastic matrices, Doubly stochastic matrices, Doubly substochastic matrices, Transportation polytopes, Permanents
In this paper, some inequalities for permanents and permanental minors of row substochastic matrices are proved. The convexity of the permanent function on the interval between the identity matrix and an arbitrary row substochastic matrix is also proved. In addition, a conjecture about the permanent and permanental minors of square row substochastic matrices with fixed row and column sums is formulated.
Chen, Zhi; Li, Jiawei; Yang, Lizhen; Zhu, Zelin; and Cao, Lei, "Inequalities for Permanents and Permanental Minors of Row Substochastic Matrices" (2019). Mathematics Faculty Articles. 290.