Sequences, wedges and associated sets of complex numbers
Forcing sequences of positive integers
Theorems of the alternative for cones and Lyapunov regularity of matrices
Standard facts about separating linear functionals will be used to determine how two cones and and their duals and may overlap. When is linear and and are cones, these results will be applied to and , giving a unified treatment of several theorems of the alternate which explain when contains an interior point of . The case when is the space of Hermitian matrices, is the positive semidefinite matrices, and yields new and known results about the existence of block diagonal...
-matrices and Lyapunov scalar stability.
Spectral properties of sign symmetric matrices.
On nonnegative sign equivalent and sign similar factorizations of matrices.
One-sided simultaneous inequalities and sandwich theorems for diagonal similarity and diagonal equivalence of nonnegative matrices.
Positive entries of stable matrices.
On the minimum rank of not necessarily symmetric matrices: a preliminary study.
Page 1