An iterative algorithm is constructed to solve the linear matrix equation pair AXB E, CXD F over generalized reflexive matrix X. When the matrix equation pair AXB E, CXD F is consistent over generalized reflexive matrix X, for any generalized reflexive initial iterative matrix X1, the generalized reflexive solution can be obtained by the iterative algorithm within finite iterative steps in the ...

We outline a method for measuring in an efficient way an overall degree of similarity between different leaf-labelled trees. In particular, we consider rooted trees, either unordered or ordered and not necessarily carrying the same labels. The trees to be compared are first represented in the form of matrices whose entries are in the interval [O,1] and the actual comparison strategy then relies...

In this paper we study the reflexive subobject lattices and reflexive endomorphism algebras in a concrete category. For the category Set of sets and mappings, a complete characterization for both reflexive subobject lattices and reflexive endomorphism algebras is obtained. Some partial results are also proved for the category of abelian groups.