On an analogue of a property of singular M -matrices for the Lyapunov and Stein operators
Andres M. Encinas, Sadrita Mondal, K. C. Sivakumar · Linear and Multilinear Algebra · 2024
A well-known result for a singular irreducible M-matrix A is that the only nonnegative vector that belongs to the range space of A is the zero vector. In this paper, we prove an analogue of this result for the Lyapunov and Stein transformations, which act on the inner product space of real symmetric matrices.