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On the Convergence of Monotone Lattice Matrices
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
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, China
- 1 School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, China
- 2 The College of Mathematics and Statistics, Chongqing University of Arts and Sciences, Chongqing, China
- 3 School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, China
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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 proper ties 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.
KeywordsDistributive LatticeLattice MatrixConvergence
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