哈密顿矩阵的逆特征值问题

该文探讨了哈密顿矩阵的逆特征值问题, 得到了有解的充要条件、通解的表达式以及最小范数解.并给出了最佳逼近解的求法. 给出了相应的算法, 数值实例说明算法是可行的.     

求解非光滑方程组的Newton-GMRES方法的全局收敛性分析

1引言对于非光滑方程组F(y)=0(1.1)的求解,这里F:D(?)R~n→R~n是一个非光滑映射,目前主要有两种求解方法.一种方法是由Pang提出的.     

Convergence theorems for block splitting iterative methods for linear systems

In this paper, we will present the block splitting iterative methods with general weighting matrices for solving linear systems of algebraic equations Ax=b$\mathit{Ax}=b$ when the coefficient matrix A is symmetric positive definite of block form, and establish the convergence theories with respect to the general weighting matrices but special splittings. Finally, a numerical example shows the advantage of this method.     

Explicit bounds on some new nonlinear integral inequalities with delay

The purpose of the present note is to establish some new delay integral inequalities, which provide explicit bounds on unknown functions and generalize some results of Li et al. [Some new delay integral inequalities and their applications, J. Comput. Appl. Math. 180 (2005) 191–200]. The inequalities given here can be used to investigate the qualitative properties of certain delay differential equations and delay integral equations.     

A stochastic model for risk management in global supply chain networks

With the increasing emphasis on supply chain vulnerabilities, effective mathematical tools for analyzing and understanding appropriate supply chain risk management are now attracting much attention. This paper presents a stochastic model of the multi-stage global supply chain network problem, incorporating a set of related risks, namely, supply, demand, exchange, and disruption. We provide a new solution methodology using the Moreau–Yosida regularization, and design an algorithm for treating the multi-stage global supply chain network problem with profit maximization and risk minimization objectives.     

The ordinary quiver of a weight three block of the symmetric group is bipartite

Suppose F is a field of characteristic p?5, and that B is a p-block of the symmetric group Sn of defect 3. We prove that the Ext¹-quiver of B is bipartite, with the bipartition being described in a simple way using the leg-lengths of p-hooks of partitions.     

算子值酉随机矩阵及其渐近自由性

该文在算子值非交换概率空间上引入半标准酉随机矩阵的概念, 证明了它是算子值Haar酉元的矩阵模型,并给出了半标准酉随机矩阵的渐近自由判定定理.     

血卟啉单甲醚对DNA损伤的拉曼光谱研究

利用激光拉曼光谱技术研究了新型光敏剂血卟啉单甲醚对ＤＮＡ（脱氧核糖核酸）分子的光动力学损伤。结果表明：ＤＮＡ分子由典型Ｂ型构型变成了一种修饰过的Ｂ型。连接碱基对的氢键被部分打断,碱基堆叠也有所与解。碱基本身也遭到了破坏,有脱氨基现象发生。腺嘌呤和胞嘧啶对血咔啉单甲醚的光动力学损伤更敏感。     

A double toroidal analyzer for scanning probe electron energy spectrometer

An ultra-high vacuum(UHV) compatible electron spectrometer employing a double toroidal analyzer has been developed. It is designed to be combined with a custom-made scanning tunneling microscope(STM) to study the spatially localized electron energy spectrum on a surface. A tip–sample system composed of a piezo-driven field-emission tungsten tip and a sample of highly ordered pyrolytic graphite(HOPG) is employed to test the performance of the spectrometer.Two-dimensional images of the energy-resolved and angle-dispersed electrons backscattered from the surface of HOPG are obtained, the performance is optimized and the spectrometer is calibrated. A complete electron energy loss spectrum covering the elastic peak to the secondary electron peaks for the HOPG surface, acquired at a tip voltage of-140 V and a sample current of 0.5 pA, is presented, demonstrating the viability of the spectrometer.