but their foundation is obtainable from various references (e.g. [Cinl75] for the more ele-
mentary results in Appendix A, [Sene81] for the Appendix B material on the Perron-
Frobenius Theorem and [Sene81, IsMa76] for the Appendix A ergodicity related
definitions and theorems). These results are invoked freely in the following sections,
either by specific reference to definition/theorem number, or if the context makes it
appropriate, they are simply assumed.
Appendix C is provided as background for the Section 9.5 discussion on coefficient
identities and extending the stationary distribution representation development. With the
exception of Section C.4, the material presented in Appendix C is obtainable from
advanced algebra texts (e.g. [MoSt64]). The symmetric/alternating polynomial general-
ization in Section C.4 is original.
Appendix D collects the computer program listings for the programs employed in
generating the results reported in Section 5. The programs presented there were devel-
oped and executed on the Cray Y-MP operated by the Computer Science Directorate at
Eglin AFB, Fl.