On the spectral properties of square matrices that are strictly sign-regular of some order k

A matrix is called strictly sign-regular of order k (SSR_k) if all its k-by-k minors are nonzero and have the same sign. In this poster, the spectral properties of nonsingular matrices which are SSR_k for a specific value k are studied

The Multiplicative Compound of a Matrix Pencil with Applications to Difference-Algebraic Equations

The multiplicative and additive compounds of a matrix have important applications in geometry, linear algebra, and dynamical systems described by difference equations and by ordinary differential equations. Here, we introduce a generalization of the multiplicative compound to matrix pencils. We analyze the properties of this new compound and describe several applications to the analysis of discrete-time dynamical systems described by difference-algebraic equations