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On the Convergence of Monotone Lattice Matrices

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DOI: 10.4236/am.2013.46125    2,931 Downloads   4,292 Views  


Since lattice matrices are useful tools in various domains like automata theory, design of switching circuits, logic of binary relations, medical diagnosis, markov chains, computer network, traffic control and so on, the study of the properties of lattice matrices is valuable. A lattice matrix A is called monotone if A is transitive or A is monotone increasing. In this paper, the convergence of monotone matrices is studied. The results obtained here develop the corresponding ones on lattice matrices shown in the references.

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The authors declare no conflicts of interest.

Cite this paper

J. Jiang, L. Shu and X. Tian, "On the Convergence of Monotone Lattice Matrices," Applied Mathematics, Vol. 4 No. 6, 2013, pp. 903-906. doi: 10.4236/am.2013.46125.


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