Entropy invariants: II. The block structure of Stefan matrices

In this paper, by means of the universal order relation of order-preserving star products [Part I], a series of relations between the Stefan matrices of compound sequences and their factor sequences is established. On the basis of these relations, an algebraic method factorizing the characteristic polynomial of Stefan matrices of compound sequences is obtained. Hence, the generality of the first entropy invariant is generally proved for multimodal maps, and the block structure of Stefan matrices of compound sequences is presented.