Article details

Title: Some Considerations on Irreducible Markov Chains and Nonnegative Matrices
Author(s): Vasile Podaru               

Abstract: Of great importance for the demonstration of some properties of finite and homogeneous Markov chains of first order is the graph associated to the chain and the graph associated to nonnegative matrices. In this paper, we will refer to some properties of the irreducible Markov chains and also to nonnegative matrices using some properties of the mentioned graphs.

Keywords: Markov chains, nonnegative matrices, graphs.

References:
[1] P. GORDON – Théorie de chaînes de Markov finies et ses applications, Dunod, Paris, France, 1965
[2] M. IOSIFESCU – Finite Markov Chains and Applications, Technical Publishing House, Bucharest, Romania, 1977 (in Romanian)
[3] R.G. BUSACKER, T.L. SAATY – Finite Graphs and Networks: An Introduction with Applications, McGraw-Hill, New York, NY, 1965
[4] V. PODARU – Models of the Graph Theory Used in Probabilities and the Optimization of Economic Processes, Ph.D. Thesis, University of Bucharest, Romania, 1981 (in Romanian)