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  • 學位論文

冪矩陣在三次分配網格下的研究

On the Powers of Matrices over 3th Transitive Distributive Lattices

指導教授 : 王牧民

摘要


這篇論文在探討三次分配網格的性質,主要著重於冪矩陣在三次分配網格下的討論。藉此推導出關於三次分配網格的重要性質並且對於三次分配網格的指標和周期的計算有詳盡的說明。最後舉例利用這些性質進行冪矩陣的運算以及找到矩陣收斂。

並列摘要


In this paper,3th transitive distributive lattices are discussed.Some important proposition for the 3th transitive distributive lattices be obtained. Apply them to estimated matrices we have a better method to find the index, period of 3th transitive distributive lattices and find the matrices convergence.

並列關鍵字

Convergence Lattice matrix transitive Period

參考文獻


【1】Yijia Tan, On the powers of matrices over a distributive lattice, Department of Mathematics,(2000)2-14
【2】Yijia Tan, On nilpotent matrices over antirings, Department of Mathematics,(2008)1244-1253
【3】Yijia Tan, On invertible matrices over antirings, Department of Mathematics,(2007)429-443
【6】E.P. Klement, R. Mesiar, E. Pap, Triangular Norms, Kluwer Dordrecht,(2000).
【7】R.A. CuninghameGreen, Minimax algebra, Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, Berlin,(1979).

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