TEMPORAL COMPONENTS OF A SEMIGROUP OF NONNEGATIVE MATRICES. A GENERALIZATION OF MINC'S THEOREM ON THE STRUCTURE OF AN IRREDUCIBLE MATRIX

摘要

The notion of a temporal component of a semigroup of block-monomial nonnegative matrices is introduced. For such semigroups, a generalization of Minc’s theorem on the structure of an irreducible matrix is proved.