Doubly stochastic and combined matrices
Begoña Cantó, Rafael Cantó, María T. Gassó, Ana M. Urbano · Linear and Multilinear Algebra · 2024
In this work, doubly stochastic combined matrices are studied. The combined matrix is known as Relative Gain Array in control theory. In particular, the characterization of all matrices such that their combined matrix is doubly stochastic is studied for real matrices of order 3. In addition, we give necessary and sufficient conditions so that three positive real numbers are the diagonal entries of a doubly stochastic matrix.