Presentation
Sub-defect of Product of Doubly Substochastic Matrices
Mathematics Faculty Proceedings, Presentations, Speeches, Lectures
Event Name/Location
American Mathematical Society Spring Southeastern Sectional Meeting, Auburn, Alabama, March 15-17, 2019
Document Type
Conference Proceeding
Publication Date
3-15-2019
Disciplines
Abstract
The sub-defect of an n x n doubly substochastic matrix S, denoted by sd(S); is defined to be the smallest integer k such that there exists an (n + k) x (n + k) 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 max{sd(A), sd(B)} ≤ sd(AB) ≤ min{n, sd(A) + sd(B)}.
ORCID ID
0000-0001-7613-7191
ResearcherID
G-7341-2019
Citation Information
Selcuk Koyuncu and Lei Cao. "Sub-defect of Product of Doubly Substochastic Matrices" (2019) Available at: http://works.bepress.com/lei-cao/26/