In this paper we introduce the concept of an (n(i),..., n(k)) block co
cyclic pair of nonnegative matrices which is a generalization of the c
oncept of a cocyclic pair given by Johnson and Bru (Linear Algebra App
l. 141 (1990) (227-240), as well as of the concept of a block cocyclic
pair given by Bru et al. (Linear Algebra Appl. 236 (1996) 231-143). T
hen we generalize the results of Johnson and Bru concerning the cocycl
ic pair and also the results of Bru et al. concerning the block cocycl
ic pair. (C) 1998 Elsevier Science Inc. All rights reserved.