Given a closed, convex and pointed cone K in R^n , we present a result which infers K-irreducibility of sets of K-quasipositive matrices from strong connectedness of certain bipartite digraphs. The matrix-sets are defined via products, and the main result is relevant to applications in biology and chemistry. Several examples are presented
AbstractSome results are obtained relating topological properties of polyhedral cones to algebraic p...
We call an element A of the n x n copositive cone C-n irreducible with respect to the nonnegative co...
AbstractConditions on the spectrum of a matrix A which are equivalent to the existence of a proper c...
Given a closed, convex and pointed cone K in R^n , we present a result which infers K-irreducibility...
AbstractLet K be a closed, pointed, full cone in a finite dimensional real vector space. We associat...
AbstractLet K1 and K2 be pointed closed convex cones with nonempty interiors in Rn and Rm, respectiv...
AbstractMany of the important applications of the Perron-Frobenius theory of nonnegative matrices as...
[[abstract]]Let K be a full, pointed closed cone in a finite dimensional real vector space. For any ...
Semipositive matrices map a positive vector to a positive vector and as such they are a very broad g...
In this survey we collect and revisit some notions and results regarding the theory of cones and mat...
AbstractThis survey deals with the aspects of archimedian partially ordered finite-dimensional real ...
AbstractIf K is a cone in Rn we let Γ(K) denote the cone in the space Mn of nXn matrices consisting ...
AbstractLet Kn= {x ϵ Rn: (x12 + · +x2n−1)12 ⩽ xn} be the n-dimensional ice cream cone, and let Γ(Kn)...
AbstractLet K be a cone in Rn, K∗ its dual cone. An n×n matrix A is called cross-positive on K if an...
[[abstract]]This is the third of a sequence of papers in an attempt to study the Perron-Frobenius th...
AbstractSome results are obtained relating topological properties of polyhedral cones to algebraic p...
We call an element A of the n x n copositive cone C-n irreducible with respect to the nonnegative co...
AbstractConditions on the spectrum of a matrix A which are equivalent to the existence of a proper c...
Given a closed, convex and pointed cone K in R^n , we present a result which infers K-irreducibility...
AbstractLet K be a closed, pointed, full cone in a finite dimensional real vector space. We associat...
AbstractLet K1 and K2 be pointed closed convex cones with nonempty interiors in Rn and Rm, respectiv...
AbstractMany of the important applications of the Perron-Frobenius theory of nonnegative matrices as...
[[abstract]]Let K be a full, pointed closed cone in a finite dimensional real vector space. For any ...
Semipositive matrices map a positive vector to a positive vector and as such they are a very broad g...
In this survey we collect and revisit some notions and results regarding the theory of cones and mat...
AbstractThis survey deals with the aspects of archimedian partially ordered finite-dimensional real ...
AbstractIf K is a cone in Rn we let Γ(K) denote the cone in the space Mn of nXn matrices consisting ...
AbstractLet Kn= {x ϵ Rn: (x12 + · +x2n−1)12 ⩽ xn} be the n-dimensional ice cream cone, and let Γ(Kn)...
AbstractLet K be a cone in Rn, K∗ its dual cone. An n×n matrix A is called cross-positive on K if an...
[[abstract]]This is the third of a sequence of papers in an attempt to study the Perron-Frobenius th...
AbstractSome results are obtained relating topological properties of polyhedral cones to algebraic p...
We call an element A of the n x n copositive cone C-n irreducible with respect to the nonnegative co...
AbstractConditions on the spectrum of a matrix A which are equivalent to the existence of a proper c...
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