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[1 ]给出复数域C上多元多项式环 C[x1 ,x2 ,… ,xn]的一类整除性定理 ,本文把它推广为任意代数闭域 k上多元多项式环 k[x1 ,x2 ,… ,xn]的情形 . 相似文献
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把[1]中结果推广到Reinhardt域D=D(k1k2…kp)包括于C^n(1≤p相似文献
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本把[1]的结果推广到更广泛的一类Reinhardt域D=D(k1k2…kp)包含C^n(1≤p相似文献
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杨善双 《数学年刊A辑(中文版)》1987,(6)
本文首先建立了空间环域的两个模偏差定理,其中定理1是平面上相应结果的空间形式,定理2则是文[1]中定理2的加强,然后,利用定理2对三维空间的Grtzsch型区域函数φ_(a(α))的渐近常数进行估计,得到9.1942…<λ_3<9.9903,改进了已知的结果,最后,把这些结果推广到任意n维空间的情形。 相似文献
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<正> [1]中计算了常曲率空间中超曲面的平均曲率的任意函数的变分.本文把[1]的结果推广到常曲率空间的子流形和任意黎曼流形的超曲面.[1]的方法不能处理这两种情况.然后我们利用变分公式导出欧氏空间子流形的一组很一般的积分公式,包括 Minkowski公式,Gardner's 公式和[2]中诸公式作为特例.本文还讨论了变分问题(?) 相似文献
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对任意群G,[1]中研究了G-分次环与可迁有限G-集的冲积.在本文中我们对任意可迁G-集A,讨论了G-分次环R与G-集A的冲积,从而推广了[2][3]中给出的关于G-分次环与群G的冲积的主要结果. 相似文献
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Maya Neytcheva 《Linear algebra and its applications》2011,434(11):2308-2324
We discuss a methodology to construct sparse approximations of Schur complements of two-by-two block matrices arising in Finite Element discretizations of partial differential equations. Earlier results from [2] are extended to more general symmetric positive definite matrices of two-by-two block form. The applicability of the method for general symmetric and nonsymmetric matrices is analysed. The paper demonstrates the applicability of the presented method providing extensive numerical experiments. 相似文献
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该文应用G -函数概念, 获得了迭代矩阵谱半径新的上、下界, 所得结果推广和改进了文献[1--6]中的相应结果.这些结果适合于更广泛的矩阵类, 数值结果也表明在相同的条件下这些新界优于文献[1--6]中的界. 相似文献
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In this article, we consider the maximum cocliques of the 211: M24 ‐graph Λ. We show that the maximum cocliques of size 24 of Λ can be obtained from two Hadamard matrices of size 24, and that there are exactly two maximum cocliques up to equivalence. We verify that the two nonisomorphic designs with parameters 5‐(24,9,6) can be constructed from the maximum cocliques of Λ, and that these designs are isomorphic to the support designs of minimum weights of the ternary extended quadratic residue and Pless symmetry [24,12,9] codes. Further, we give a new construction of Λ from these 5‐(24,9,6) designs. © 2009 Wiley Periodicals, Inc. J Combin Designs 17: 323–332, 2009 相似文献
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Hiroshi Kimura 《Designs, Codes and Cryptography》1996,9(1):71-77
Let D
2p
be a dihedral group of order 2p, where p is an odd integer. Let ZD
2p
be the group ring of D
2p
over the ring Z of integers. We identify elements of ZD
2p
and their matrices of the regular representation of ZD
2p
. Recently we characterized the Hadamard matrices of order 28 ([6] and [7]). There are exactly 487 Hadamard matrices of order 28, up to equivalence. In these matrices there exist matrices with some interesting properties. That is, these are constructed by elements of ZD
6. We discuss relation of ZD
2p
and Hadamard matrices of order n=8p+4, and give some examples of Hadamard matrices constructed by dihedral groups. 相似文献
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We introduce in a general setting, the unitary similitude groups associated to ε-hermitian form over a ring A with involution. We concentrate next in the rank 2 case. The classical presentation of GL(2, F), F a field, originating from its Bruhat decomposition can be extended to these unitary similitude groups. Furthermore, the multiplier associated to ε-hermitian forms affords a signed non commutative version of the classical determinant of 2 by 2 matrices, which we recover exploiting Grassmann's approach to determinants. Finally, we present various examples of our groups and give some categorical properties of them. 相似文献
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关于非负矩阵优势比的界 总被引:1,自引:0,他引:1
令A为一n×n复矩阵,且令这个比率d称为矩阵A的优势比.1964年,Ostrowski得到正矩阵优势比的一个界.1974年,Ostrowski又得到既约非负矩阵优势比的一个界. 在本文中,我们得一个比[4]更好的界,我们的结果还推广到类似于既约非负矩阵的另一类矩阵,即在[1]中定义的准非负矩阵.此外,我们还给出确定本原指标v(A)的一个简单方法,这样可以得到优势比的更佳界. 相似文献
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