On the Convergence of Monotone Lattice Matrices - Applied Mathematics

AM > Vol.4 No.6, June 2013

On the Convergence of Monotone Lattice Matrices ()

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Download as PDF (Size: 98KB) PP. 903-906

DOI: 10.4236/am.2013.46125 3,376 Downloads 5,038 Views

Author(s)

Jing Jiang, Lan Shu, Xin’an Tian

Affiliation(s)

School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, China.
The College of Mathematics and Statistics, Chongqing University of Arts and Sciences, Chongqing, China.

ABSTRACT

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.

KEYWORDS

Distributive Lattice; Lattice Matrix; Convergence

Share and Cite:

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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