Multiparameter eigenvalue probolems: Jordan semilattices of vectors

The notion of a Jordan semilattice of vectors of the multiparameter eigenvalue problems for matrices is introduced as a generalization of a well-known notion of the Jordan chain of vectors. A relationship between a Jordan semilattice of vectors of the linear multiparameter eigenvalue problems and Jordan chains of vectors of eigenvalue problems for matrices is established. Bibliography: 5 titles.