Convex combinations of matrices-nonsingularity and schur stability characterizations
L. Elsner, Tomasz Szulc · Linear and Multilinear Algebra · 1998
Using the notion of a block P-matrix, introduced previously by the authors, a characterization of the nonsingularity (Schur stability, respectively) of all convex combinations of nonsingular (Schur stable, respectively) matrices A 1 A 2,…,Ak is derived.