The existence and construction of common invariant cones for families of real matrices is considered. The complete results are obtained for 2 x 2 matrices (with no additional restrictions) and for families of simultaneously diagonalizable matrices of any size. Families of matrices with a shared dominant eigenvector are considered under some additional conditions. (C) 2009 Elsevier Inc. All rights reserved
AbstractWe generalize many known results on a nonnegative matrix concerning linear inequalities, Col...
AbstractWe characterize the exposed faces of convex sets C of symmetric matrices, invariant under or...
We characterize the exposed faces of convex sets L% ’ of symmetric matrices, invariant under orthogo...
The existence and construction of common invariant cones for families of real matrices is considered...
AbstractThe existence and construction of common invariant cones for families of real matrices is co...
AbstractWe establish a criterion for a finite family of matrices to possess a common invariant cone....
AbstractMotivated by a differential continuous-time switching model for gene and neural networks, we...
In this survey we collect and revisit some notions and results regarding the theory of cones and mat...
AbstractIt is shown that square matrices A and B have a common invariant subspace W of dimension k⩾1...
AbstractThe main purpose of this paper is to study common invariant subspaces of any matrix in the c...
In this paper, based on algebraic arguments, a new proof of the spectral characterization of those r...
AbstractA finite rational procedure of the Shemesh type is proposed to check whether given complex n...
AbstractRecently, several research efforts showed that the analysis of joint spectral characteristic...
AbstractLet A be an n×n matrix. It is a relatively simple process to construct a homogeneous ideal (...
[[abstract]]For an n x n nonnegative matrix P, an isomorphism is obtained between the lattice of ini...
AbstractWe generalize many known results on a nonnegative matrix concerning linear inequalities, Col...
AbstractWe characterize the exposed faces of convex sets C of symmetric matrices, invariant under or...
We characterize the exposed faces of convex sets L% ’ of symmetric matrices, invariant under orthogo...
The existence and construction of common invariant cones for families of real matrices is considered...
AbstractThe existence and construction of common invariant cones for families of real matrices is co...
AbstractWe establish a criterion for a finite family of matrices to possess a common invariant cone....
AbstractMotivated by a differential continuous-time switching model for gene and neural networks, we...
In this survey we collect and revisit some notions and results regarding the theory of cones and mat...
AbstractIt is shown that square matrices A and B have a common invariant subspace W of dimension k⩾1...
AbstractThe main purpose of this paper is to study common invariant subspaces of any matrix in the c...
In this paper, based on algebraic arguments, a new proof of the spectral characterization of those r...
AbstractA finite rational procedure of the Shemesh type is proposed to check whether given complex n...
AbstractRecently, several research efforts showed that the analysis of joint spectral characteristic...
AbstractLet A be an n×n matrix. It is a relatively simple process to construct a homogeneous ideal (...
[[abstract]]For an n x n nonnegative matrix P, an isomorphism is obtained between the lattice of ini...
AbstractWe generalize many known results on a nonnegative matrix concerning linear inequalities, Col...
AbstractWe characterize the exposed faces of convex sets C of symmetric matrices, invariant under or...
We characterize the exposed faces of convex sets L% ’ of symmetric matrices, invariant under orthogo...