Absolutely L – Summing Norms of Diagonal Operators in lr and Limit Orders of Lexp – Summing Operators

We compute the absolutely L – summing norms of the diagonal operators acting on l_r (1 ≤ q, r < ∞) and determine the limit orders of the absolutely L_exp – summing operators.     

矩阵的特征根与特征向量及其相似对角形的统一求法

给出了解决矩阵对角化问题的一个简便方法.应用这个方法,可同时求出A的特征根及特征向量,判断A是否可对角化,在A可对角化时,可直接写出相应的可逆矩阵T,使T-1AT为对角形矩阵.     

Zero Energy Anomaly in One-Dimensional Anderson Lattice with Exponentially Correlated Weak Diagonal Disorder

We calculated numerically the localization length of one-dimensional Anderson model with correlated diagonal disorder. For zero energy point in the weak disorder limit, we showed that the localization length changes continuously as the correlation of the disorder increases. We found that higher order terms of the correlation must be included into the current perturbation result in order to give the correct localization length, and to connect smoothly the anomaly at zero correlation with the perturbation result for large correlation.     

Global C1 Solution to the Initial-boundary Value Problem for Diagonal Hyperbolic Systems with Linearly Degenerate Characteristics

We prove that the Cº boundedness of solution implies the global existence and uniqueness of C¹ solution to the initial-boundary value problem for linearly degenerate quasilinear hyperbolic systems of diagonal form with nonlinear boundary conditions. Thus, if the C¹ solution to the initial-boundary value problem blows up in a finite time, then the solution itself must tend to the infinity at the starting point of singularity.     

木龙河斜拉跨越结构的静态力学分析

利用有限元法对木龙河斜拉跨越结构进行了力学分析. 结果表明: 安装时索 具有一定的预应变可以提高结构的强度和刚度, 但预应变太大反而降低结构的刚度和强度, 预应变存在一个最优值, 且最优值与结构的形式和载荷有关; 在工作载荷或充水载荷作用下, 结构的强度刚刚满足要求; 在极限载荷作用下, 结构的强度不满足要求; 结构中最大应力出 现在左塔架顶端连接索处、右塔架顶端连接索处和管桥架中间上缘杆.     

三维空间中带对角步格路的一个注记

Jr.Stocks讨论了从(0,0,0)到(n,n,n)的带对角步格路的计数问题.本文给出了[4]中主要结果的简单公式,并将其推广到了一般情形.     

Everywhere Regularity for Weak Solutions to Variational Inequalities of Triangular Form

In this paper, we obtain two results of weak solutions to variational inequalities of triangular form under controllable growth and a class of natural growth conditions, i.e. 1^°. L^p-estimate for the gradient; 2^°. C^{1,β}_{loc}(Ω, R^N) regularity.     

Existence of Solutions to Generalized Vector Quasi-variational-like Inequalities with Set-valued Mappings

In this paper, we introduce and study a class of generalized vector quasivariational-like inequality problems, which includes generalized nonlinear vector variational inequality problems, generalized vector variational inequality problems and generalized vector variational-like inequality problems as special cases. We use the maximal element theorem with an escaping sequence to prove the existence results of a solution for generalized vector quasi-variational-like inequalities without any monotonicity conditions in the setting of locally convex topological vector space.     

Nonnegative tensors revisited: plane stochastic tensors

In this paper, we develop and enrich the theory of nonnegative tensors. We define the sign nonsingular tensors and establish the relationship between the combinatorial determinant and the permanent of nonnegative tensors. We generalize the results from doubly stochastic matrices to totally plane stochastic tensors and obtain a probabilistic algorithm for locating a positive diagonal in a nonnegative tensor under certain conditions. We form a normalization algorithm to convert some nonnegative tensors to plane stochastic tensors. We obtain a lower bound for the minimum of the axial N-index assignment problem by means of the set of plane stochastic tensors.     

框填结构等效斜压杆的模型改进及其数值模拟

等效斜压杆理论是模拟混凝土框架填充墙的常用方法之一．为探索该理论在结构抗震动力时程分析模拟中的应用,基于有限元软件ABAQUS,针对某一多层框架砌体填充墙结构案例,建立梁杆单元模型．模型中运用改进后的等效斜压杆宽度计算公式,来定义交叉杆的截面属性,并通过子程序建立材料的非线性本构关系．通过该模型系统分析了其在地震作用下的动力时程响应,并进行了比较研究．计算结果表明,使用等效斜压杆理论对实际框架填充墙进行模拟是可靠的,可以为工程设计提供参考依据．