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Yi-jia Tan 《Southeast Asian Bulletin of Mathematics》2000,24(3):475-479
Let Cn(L) denote the set of all n × n circulant matrices over a distributive lattice L. Then Cn(L) forms a semigroup under the usual matrix product. In this paper, we shall characterize all idempotents in Cn(L), and also estabish the Euler-Fermat theorem for the semigroup Cn(L).AMS Subject Classification (2000): 20MSupported by the Educational Committee of Fujian, China. 相似文献
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Nguyen Thi Hoai Phuong Hoang Tuy Faiz Al-Khayyal 《Computational Optimization and Applications》2006,35(2):135-159
A problem arising in the control of flutter in compression systems via mistuning is formulated as maximizing a quadratic function
with a circulant matrix over a set of vectors whose every component can take one of three values (the three level problem)
or one of two values (the two level problem). 相似文献
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反循环矩阵是一种特殊类型的矩阵,它本身有许多重要的性质,而且与矩阵的对角化问题有联系.本文拟探讨反循环矩阵的对角化问题,以及任一n阶方阵A可对角化时,A与反循环矩阵之间的关系. 相似文献
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广义循环Fuzzy矩阵半群的格林关系等价类 总被引:1,自引:0,他引:1
研究了广义循环Fuzzy矩阵半群Cn(F)上的格林关系.得到的主要结果是:(1)给出了任意一个o-循环Fuzzy矩阵所在的格林关系各等价类及其基数;(2)给出任意一个,一循环Fuzzy矩阵所在的-等价类及其基数. 相似文献
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关于Fuzzy矩阵的广义逆 总被引:2,自引:0,他引:2
本文分别给出了Fuzzy矩阵存在广义{1,3}-逆、广义{1,4}-逆以及Moore-Penrose广义逆Fuzzy矩阵的一些充要条件。又得到求上述广义逆Fuzzy矩阵的一些公式。主要的结果有: 1.Fuzzy矩阵A的广义{1,3}-逆A~((1.3))(广义{1,4}-逆A~((1.4))存在的充要条件是Fuzzy关系方程有解。2.Fuzzy矩阵A的Moore-Penrose广义逆A~T存在的充要条件是Fuzzy关系方程均有解。3.如果B、C分别为Fuzzy关系方程的一个解,那么。 相似文献
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在模糊一致矩阵的基础上,引入了广义模糊一致矩阵.研究了广义模糊一致矩阵的性质及指数排序方法,给出了判定模糊矩阵是广义模糊一致矩阵的充要条件,得到了广义模糊一致矩阵的求排序向量的指数排序方法,以及该指数排序方法是强条件下保序的结论. 相似文献
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本文在(1)的基础上给出了模糊基的另一种构造方法,由此得到了模糊基的判定方法。研究了基的μ值分布状况,最后给出了模糊向量空间维数的计算方法。 相似文献
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本文说明了模糊等价矩阵的结构,然后提出求模糊相似矩阵的最优模糊等价矩阵的一个算法,最后指出最优模糊等价矩阵一定存在,但不唯一。 相似文献
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Let n be a positive integer, and C
n
(r) the set of all n × n r-circulant matrices over the Boolean algebra B = {0, 1},
. For any fixed r-circulant matrix C (C ≠ 0) in G
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, we define an operation “*” in G
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as follows: A * B = ACB for any A, B in G
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, where ACB is the usual product of Boolean matrices. Then (G
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, *) is a semigroup. We denote this semigroup by G
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(C) and call it the sandwich semigroup of generalized circulant Boolean matrices with sandwich matrix C. Let F be an idempotent element in G
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(C) and M(F) the maximal subgroup in G
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(C) containing the idempotent element F. In this paper, the elements in M(F) are characterized and an algorithm to determine all the elements in M(F) is given. 相似文献
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Aleksandra S.Kosti 《Algebra Colloquium》2021,28(4):625-634
Let R be an associative unital ring and not necessarily commutative.We analyze conditions under which every n × n matrix A over R is expressible as a sum A =E1 +…+ Es + N of (commuting) idempotent matrices Ei and a nilpotent matrix N. 相似文献
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模糊互补矩阵的广义一致性变换及其性质研究 总被引:1,自引:0,他引:1
本文给出了模糊互补矩阵广义一致性变换的定义,并论证了模糊互补矩阵经广义一致性变换后所具有的性质;指出相关文献的研究成果只是本文研究结论的特殊情况;深化了对参数β的理解,并给出了该参数取值范围的一个合理区间,从而把模糊一致矩阵及其性质从理论上推广到更大的应用范围之中. 相似文献
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Let Gn(C) be the sandwich semigroup of generalized circulant Boolean matrices with the sandwich matrix C and Gc(Jr~) the set of all primitive matrices in Gn(C). In this paper, some necessary and sufficient conditions for A in the semigroup Gn(C) to be primitive are given. We also show that Gc(Jn) is a subsemigroup of Gn(C). 相似文献
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给出将广义判断矩阵排序向量的计算及一致性检验转化为普通判断矩阵的相应计算的具体算法 . 相似文献
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It is investigated the necessary and sufficient conditions for the generalized quadraticity of a linear combination of any two generalized quadratic matrices. The main result obtained is, in a sense, a generalization of the main results given in [Uç M, Özdemir H, Özban AY. On the quadraticity of linear combinations of quadratic matrices. Linear Multilinear Algebra. 2015;63:1125–1137.] which contains many of the results in the literature related to idempotency or involutivity of the linear combinations of idempotent and/or involutive matrices, to the generalized quadratic matrices. 相似文献