共查询到20条相似文献,搜索用时 15 毫秒
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SomeResultsonFineryMatricesPangMingalan(逄明贤)andLiQngchun(李庆春)(DepartmentofMathematics,JilinTeacher'sCollege,Jilin,132011)Abst... 相似文献
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We obtain a few structural theorems for circulant weighing matrices whose weight is the square of a prime number. Our results provide new schemes to search for these objects. We also establish the existence status of several previously open cases of circulant weighing matrices. More specifically we show their nonexistence for the parameter pairs (n, k) (here n is the order of the matrix and k its weight) = (147, 49), (125, 25), (200, 25), (55, 25), (95, 25), (133, 49), (195, 25), (11 w, 121) for w < 62. 相似文献
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In this paper we systematize and develop some theoretical results about shift, slope and curvature for correlations matrices of interest rates. We provide a general investigation on the relations among some standard features of correlation models for interest rates and the existence of shift, slope and curvature. Our results show how their presence, excluding some peculiar behavior strictly related to low dimensions, can not be directly connected to the usual assumptions on the interest rates correlations structure. We provide some estimates of the distance between a shift and the vector, named pure shift, having all entries equal. We prove also that in a two-factor framework shift and slope are sufficient to justify the usual properties of correlations between rates. 相似文献
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《佛山科学技术学院》2014,6(2):133-145
In this paper, pseudo-similar intuitionistic fuzzy matrix (IFM) is defined with some properties of pseudo-similar and semi-similar IFMs studied. Here it is shown that, the pseudo-similarity relation preserve idempotency and regularity for the IFMs. After characterizations of symmetric IFM are discussed, it is shown that symmetric and idempotent IFMs possess symmetric Moore–Penrose inverse. Some results are investigated regarding the group inverse of IFMs. 相似文献
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关于布尔矩阵行空间基数的若干存在区间 总被引:1,自引:0,他引:1
Let B_n be the set of all n×n Boolean Matrices;R(A) denote the row space of A∈B_n,|R(A)| denote the cardinality of R(A),m,n,k,l,t,i,γ_i be positive integers,S_i,λ_i be non negative integers.In this paper,we prove the following two results: (1)Let n≥13,n-3≥k > S_l,S_(i+1)> S_i,i = 1,2,…,l-1.if k+l≤n,then for any m=2~k+2~(S_(l)) + 2~(S_(l-1))+…+ 2~(S_(1)),there exists A∈B_n,such that |R(A)|= m. (2)Let n≥13,n-3≥k>S_(n-k-1)> S_(n-k-2)>…>S_1>λ_t>λ_(t-1)>…>λ_1,2≤t≤n-k.If existγ_i(k+1≤γ_i≤n-1,i=1,2,…,t-1)γ_i<γ_... 相似文献
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关于中心对称矩阵的几个性质 总被引:2,自引:0,他引:2
利用中心对称矩阵定义及翻转矩阵Vn等技巧,给出中心对称矩阵的一些性质和O≠X∈Cn与VnX同为中心对称矩阵对应于同一特征值的特征向量等结论. 相似文献
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本文重点讨论了布尔矩阵半群中的幂等、广义幂等、素矩阵以及它们之间的联系,对非负矩阵半群上的类零型结构也进行了研究. 相似文献
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本文给出了一个 n×n非负、对称、弱对角占优矩阵 A为完全正的一个充分条件 .我们还给出了较好的算法 ,用以获得关于矩阵 A(当 A为完全正时 )的分解指数的一个上界 . 相似文献
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We construct a number of new supplementary difference sets (SDS) with v odd and . In particular, these give rise to D‐optimal matrices of the four new orders 206, 242, 262, 482, constructed here for the first time. 相似文献
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If is an odd prime, the pseudosquare is defined to be the least positive nonsquare integer such that and the Legendre symbol for all odd primes . In this paper we first discuss the connection between pseudosquares and primality testing. We then describe a new numerical sieving device which was used to extend the table of known pseudosquares up to . We also present several numerical results concerning the growth rate of the pseudosquares, results which so far confirm that , an inequality that must hold under the extended Riemann Hypothesis.
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Chinmay Kumar Giri 《Numerical Functional Analysis & Optimization》2017,38(2):160-180
Different classes of matrix splittings of semi-monotone matrices lead to many comparison results, which are useful tools in examining the convergence rate of iterative methods for solving rectangular systems of linear equations in a faster way. In this context, the theory of alternating iterations for rectangular matrices was introduced recently, in order to arrive at the desired solution of accuracy or at the exact solution. In this article, we expand convergence theory of such alternating iterations and obtain comparison results for such iterations. 相似文献
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Ding Xieping 《数学年刊B辑(英文版)》1983,4(4):413-424
In this paper, we first show several fixed point and or common fixed point theorems for point-valued and set-valued contractive type mappings in compact metric spaces, which satisfy very general contractive condition with strict inequality and may be discontinuous. Our theorems improve and generalize some main results in [1—4].
In the next place, we provide some new results for quite general orbitally contraction and quasi-contraction mappings. They improve, unify and extend some important results in [7-15]. 相似文献