A survey on semi-tensor product of matrices (Q2461356)

A type \((m,n)\) matrix \(A\) and a type \((p,q)\) matrix \(B\) are said to be satisfying the factor dimension condition if \(n\) devides \(p\) or \(q\) devides \(n\). In this paper a product (called semi-tensor product) of matrices satisfying the factor dimension condition is surveyed. The authors list the basic algebraic properties of the semi-tensor product, present motivating examples, and convey applications from different branches of mathematics: logic, abstract algebra, dynamical systems, differential geometry.