On measures of column indecomposability
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- by D. J. Hartfiel PDF
- Proc. Amer. Math. Soc. 63 (1977), 189-197 Request permission
Abstract:
For any given nonnegative matrix A, this paper develops a notion of the kth measure of column indecomposability of A. The behavior of this measure on products of matrices is investigated. These results are then applied in developing several results on nonhomogeneous Markov chains.References
- D. J. Hartfiel, A result concerning strongly ergodic nonhomogeneous Markov chains, Linear Algebra Appl. 9 (1974), 169–174. MR 359001, DOI 10.1016/0024-3795(74)90035-4
- D. J. Hartfiel, Results on measures of irreducibility and full indecomposability, Trans. Amer. Math. Soc. 202 (1975), 357–368. MR 364303, DOI 10.1090/S0002-9947-1975-0364303-1
- D. J. Hartfiel, Two theorems generalizing the mean transition probability results in the theory of Markov chains, Linear Algebra Appl. 11 (1975), no. 2, 181–187. MR 374172, DOI 10.1016/0024-3795(75)90057-9
- E. Seneta, Non-negative matrices, Halsted Press [John Wiley & Sons], New York, 1973. An introduction to theory and applications. MR 0389944
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 189-197
- MSC: Primary 15A48; Secondary 15A21, 60J10
- DOI: https://doi.org/10.1090/S0002-9939-1977-0485934-1
- MathSciNet review: 0485934