k-方体图邻点可区别全色数

本文证明k-方体图(k≥2)的邻点可区别的全色数为k+2.     

THE UPWIND FINITE ELEMENT SCHEME AND MAXIMUM PRINCIPLE FOR NONLINEAR CONVECTION-DIFFUSION PROBLEM

In this paper, a kind of partial upwind finite element scheme is studied for twodimensional nonlinear convection-diffusion problem. Nonlinear convection term approximated by partial upwind finite element method considered over a mesh dual to the triangular grid, whereas the nonlinear diffusion term approximated by Galerkin method. A linearized partial upwind finite element scheme and a higher order accuracy scheme are constructed respectively. It is shown that the numerical solutions of these schemes preserve discrete maximum principle. The convergence and error estimate are also given for both schemes under some assumptions. The numerical results show that these partial upwind finite element scheme are feasible and accurate.     

A REMARK ON THE ORTHOGONALITY OF A CLASS BIDIMENSIONAL NONSEPARABLE WAVELETS

Let M=(11 1-1).In this paper, a necessary condition and an optimal sufficient condition on the orthogonality of M-wavelets are obtained by the introduction of cycle relat to M.     

Upper Bounds for the Laplacian Graph Eigenvalues

We first apply non-negative matrix theory to the matrix K = D A, where D and A are the degree-diagonal and adjacency matrices of a graph G, respectively, to establish a relation on the largest Laplacian eigenvalue λ1 (G) of G and the spectral radius p(K) of K. And then by using this relation we present two upper bounds for λ1(G) and determine the extremal graphs which achieve the upper bounds.     

模糊综合评价模型在教师评价中的应用

教师评价是教育评价的一个重要环节 ,我国教师评价的历史不长 ,所以目前尚未建立起科学的评价体系 ,由于教师评价的多因素性及评价因素的模糊性 ,可以用模糊数学建立综合评价模型 .     

矩阵方程X+A*X-nA=I的正定解

In this paper we give some sufficient conditions and some necessary conditions under which the matrix equation X A^*X^-nA=I has a positive definite solution. An iterative method which converges to a positive definite solution of this equation is constructed. And an error estimate formula on this iterative method is also derived.     

非凸半定规划的增广Lagrangian的微分的计算

迄今为止，还未见出版过有关求解非凸半定规划的算法，但在最近，Chen，et.al(2000)和Sun＆Sun(1999)关于非凸半定规划(SDP)的增广Lagrangian的研究是非常有用的，在本文中，我们证明非凸半定规划的增广Lagrangian是可微的，并且给出它的可微表达式．     

利用有限域上2-幂零矩阵构作Cartesian认证码

给出 2 -幂零矩阵的Jordan标准型在相似变换下的稳定群的结构 ,利用有限域上 2 -幂零矩阵构作了一个Cartesian认证码 ,计算出了该认证码的参数 .在假定编码规则按等概率分布选取的条件下 ,计算出了该认证码被成功的模仿攻击的最大概率PI 及被成功的替换攻击的最大概率PS.     

AFS结构上矩阵的幂等指数估计

在应用AFS结构(M,τ,X)研究故障诊断问题中,需要寻找正整数r使其满足M2γτ=Mγτ.由于复杂系统对应的AFS结构上矩阵Mτ的阶数较大,为了减少计算量,需要估计出最小的γ.本文给出了基于集合M上的布尔矩阵的概念,并得出其传递闭包的相关性质,在集合M上的布尔矩阵与(0,1)布尔矩阵之间建立一种同态映射并给出其证明,最后运用该映射对r的范围进行了估计.     

ON THE CONVERGENCE OFSPLITTINGS FOR A Z-MATRIX

In this paper, first we present a characterization of semiconvergence for nonnegative splittings of a singular Z-mattix, which generalizes the corresponding result of . Second, a characterization of convergence for L1-regular splittings of a singular E-matrix is given, which im-prove the resuh of [3]. Third, convergence of weak nonnegative splittings and regular splittings isdiscussed, and we obtain some necessary and sufficient conditions such that the splittings of a Z-matrix converge,