Convergence of splitting and Newton methods for complementarity problems: An application of some sensitivity results

This paper is concerned with two well-known families of iterative methods for solving the linear and nonlinear complementarity problems. For the linear complementarity problem, we consider the class of matrix splitting methods and establish, under a finiteness assumption on the number of solutions, a necessary and sufficient condition for the convergence of the sequence of iterates produced. A rate of convergence result for this class of methods is also derived under a stability assumption on the limit solution. For the nonlinear complementarity problem, we establish the convergence of the Newton method under the assumption of a pseudo-regular solution which generalizes Robinson's concept of a strongly regular solution. In both instances, the convergence proofs rely on a common sensitivity result of the linear complementarity problem under perturbation.This work was based on research supported by the National Science Foundation under grant ECS-8717968.     

Ketu and the second invariant of a quadratic space

Using the Chern classes defined by Grothendieck, we map aK-theoretic invariant of invertible symmetric matrices defined by Giffen to the Clifford invariant.According to Herrmann Graßman'sWörterbuch zum Rig-veda, Ketu may not be connected with K₂ but es bezeichnet das, was sich sichtbar oder kenntlich macht ...     

Solid-state synthesis and properties of SmCoO3

In this paper, perovskite oxide SmCoO₃ was prepared by the solid-state reaction method using Co₂O₃ and Sm₂O₃ as raw materials. The structure and properties of the samples were investigated by XRD, Raman spectral techniques, and DC measurements and so on. The results of XRD and Raman spectra showed that the mixtures of Co₂O₃ and Sm₂O₃ can react to produce a single phase perovskite oxide SmCoO₃ around 1353 K. The single-phase SmCoO₃ changes from an insulator to a semi-conductor and transition occurs around 470 K. The thermal expansion coefficient (2.17 × 10⁻⁵ K⁻¹) of the single-phase SmCoO₃ is approximately equal to that of doped LaGaO₃, but much bigger than that of SDC(Ce_0.85Sm_0.15O₂) above 873 K.     

Synthesis and Electrochemical Studies of Spinel LiNi1−xMnxVO4

Spinel compound LiNi_1−xMn_xVO₄ (0≤x≤0.4) had been prepared by using the moist chemical method. X-ray diffraction spectra showed that the lattice constant increased with x in the LiNi_1−xMn_xVO₄, XPS spectra indicating that Li1s had a chemical shift towards lesser binding energy, and manganese in LiNi_1−xMn_xVO₄ existing as the mixed valence of Mn²⁺ and Mn³⁺. The electrochemical charge and discharge testing at a current density of 0.1 mA/cm² between the potentials of 4.0 and 3.0 V vs Li/Li⁺ in 1 mol/dm³ LiPF₆/EC+DEC (1:1 by volume) at 25°C showed that LiNi_1−xMn_xVO₄ cell has a better rechargeability, but a lower cell voltage of 4.0 V vs Li/Li⁺ than that without the doping sample, and the capacity and the cycle efficiency of the Li/LiNi_1−xMn_xVO₄ cells increased with x in the LiNi_1−xMn_xVO₄.     

Study of the bandwidth characteristic of a non-reflection-type gyrotron TWA

With a set of equations for the self-consistent large-signal interaction derived in this paper, the bandwidth characteristics of a non-reflection-type gyrotron-TWA using a tapered waveguide and tapered magnetic field system have been analysed. Numerical calculations indicate that under defined conditions an instantaneous bandwidth of nearly 10 % at a center frequency of 35 GHz with a length of the order of only8 cm of the rf interaction region could be achieved.     

基于小波变换的循环伏安弱信号特征信息提取

本研究采用连续小波变换(continuous wavelet transform，CWT)技术处理循环伏安弱信号，通过研究苯酚、对苯二酚和对硝基苯酚的共存体系循环伏安弱信号，表明CWT可以成功地识别出极弱信号中的指纹特征信息，并且经处理得到的对应的小波系数峰比原始信号更窄，更高，由此可以成功地确定弱峰的数目和位置。由循环伏安信号所得的结果，有力地证实CWT是循环伏安弱信号识别的有力工具，对于理解弱响应体系电化学机理具有重要作用。     

有机官能化MSU-x孔分子筛的界面特征

MSU- x是自 M41S系列介孔分子筛问世以来所合成的另一类新型介孔分子筛材料 ,它具有三维立体交叉排列的 " worm- like"孔道结构特征及采用中性模板剂、廉价无毒等诸多合成优点 [1～ 4],有着潜在的应用价值 .为了改善纯硅的介孔材料的表面和孔道性质 ,扩大其应用领域 ,除了在骨架引入金属离子或在其孔道中负载催化活性物质外 ,对介孔材料进行有机官能化制备无机-有机杂化材料改善其骨架和孔道性质是当前研究的热点之一 [5].正是由于活性有机基团的存在 ,使得这些材料可直接用于催化反应 ,或作为中间介质成为其它络合离子的主体 .由于有机基…     

药物不良反应的特点与预防

药物不良反应已成为全社会关注的热点，及时了解有关不良反应的情况并采取必要的预防措施，以保证患者用药安全，维护患者身体健康是医务工作者刻不容缓的任务。     

侧链对聚对苯撑乙炔溶解性和光谱性能的影响

利用钯催化反应合成了一类侧链含不同烷氧取代基(甲氧基，辛烷氧基，十二烷氧基)的聚时苯撑乙炔，讨论了侧链烷氧取代基对聚对苯撑乙炔的分子量和溶解性的影响，比较了聚合物的紫外吸收光谱和荧光光谱特征。     

络合氢化物Ti-NaAlH4的制备与储氢特性

采用Ti粉为催化剂前驱体、预处理Al粉和NaH为合成原料, 通过机械球磨-加氢方法合成出络合氢化物Ti-NaAlH4, 系统研究了球磨保护气氛、球磨时间和氢化加氢压力等制备参数对其储氢性能的影响. 结果表明, 制备方法对Ti-NaAlH4储氢特性有很大影响. 与氩气保护气氛相比, 在氢气气氛中球磨制备的复合物具有更高的吸放氢性能. 在氢气保护气氛下, 随着球磨时间从6 h增至24 h, 复合物的吸氢容量和吸氢速率先增后减, 12 h时达到最佳值, 而复合物的放氢容量和放氢速率则逐渐增高; 进一步延长球磨时间会使颗粒发生团聚, 从而导致吸氢性能下降. 随着氢化加氢压力从7.5 MPa升至13.5 MPa, 复合物的吸氢容量(质量分数)由2.83%逐渐增至4.21%. 复合物球磨后出现的Na3AlH6中间氢化物相表明, 在氢气下掺Ti球磨对NaH和Al的氢化反应起到很好的促进作用.