Convex sets of Schur stable and stable matrices

We derive characterizations for the Schur stability and the stability of al l convex combinations of k, k greater than or equal to2, given real square matrices. Moreover, we characterize these properties for the set r(A, B) (c (A,B), resp.) of square matrices whose rows (columns, resp.) are independen t convex combinations of the rows (columns, resp.) of two real matrices A a nd B. Our results can be viewed as contributions to the problem of robustne ss of matrix properties. This paper continues our paper [4].