Minimizing convex quadratics with variable precision conjugate gradients

We investigate the method of conjugate gradients, exploiting inaccurate matrix‐vector products, for the solution of convex quadratic optimization problems. Theoretical performance bounds are derived, and the necessary quantities occurring in the theoretical bounds estimated, leading to a practical algorithm. Numerical experiments suggest that this approach has significant potential, including in the steadily more important context of multiprecision computations.     

基于惩罚与补贴的再制造闭环供应链网络均衡模型

为研究我国废旧电子产品(WEEE)立法的问题,分析了供应商、制造商、零售商、需求市场及回收商的行为,分别建立了变分不等式模型,并在此基础上建立了五级再制造闭环供应链网络均衡模型。模型考虑了政府对于制造商的惩罚政策与对于回收商的补贴政策。通过修正投影算法求解算例,仿真分析了旧材料转化率、回收率、惩罚及补贴政策对闭环供应链网络均衡结果的影响。结果表明,随着政府对于回收商的补贴的增加,不但回收商的回收量提高,闭环供应链的新材料需求量、旧材料需求量、销售量均增加;相反,随着政府对于制造商未完成的回收量的罚款增加,回收量、新材料需求量、旧材料需求量、销售量均降低;追求高回收率的政策并不总是有效的;而提高WEEE的旧材料转化率对于闭环供应链有利。     

频率自适应最优权重阵列干涉条纹处理技术

考虑长基线水平阵列波束形成对声场模态呈现的滤波特征,建立了一种随频率改变滤波通带的阵列权矢量设计方法。基于简正波理论,结合声场波束形成特点,在分析了常规波束形成信号LOFAR谱图干涉条纹的清晰度和条纹结构不同于单水听器输出信号条纹现象基础上,采用线性等式约束的二次优化模型,给出了一种频率自适应的最优权重估计。数值仿真验证和试验数据分析表明,利用该方法设计的最优权重阵列波束处理,可以滤波出SRBR(Surface-Reflected Bottom-Reflected)或N-SRBR(Non-Surface-Reflected Bottom-Reflected)模态组成的波束形成信号,信号谱图干涉条纹斜率与理论分析基本一致。     

一种新的自动调焦方法—离轴探测法

本文提出了的种新的自动调焦方法——离轴探测法,此法没用任何附加元件,结构简单、装调容易、线性度好、灵敏度高、调焦范围大、实用性强;介绍了此法的原理、理论计算结果及实验结果;给出了应用实例.     

C_0复杂度的改进及其在证券市场中的应用

系统地分析了Lemple-Ziv复杂性度量方法的应用过程中,将实际信号(时间序列)转变成符号序列的诸多方法中存在的一些问题,提出了更合理兼容法.该方法可以有效地刻划各种时间序列的复杂度.文章最后动态地分析了中国证券市场的复杂性.     

Membrane lipid domains and dynamics as detected by Laurdan fluorescence

2-Dimethylamino-6-lauroylnaphthalene (Laurdan) is a membrane probe of recent characterization, which shows high sensitivity to the polarity of its environment. Steady-state Laurdan excitation and emission spectra have different maxima and shape in the two phospholipid phases, due to differences in the polarity and in the amount of dipolar relaxation. In bilayers composed of a mixture of gel and liquid-crystalline phases, the properties of Laurdan excitation and emission spectra are intermediate between those obtained in the pure phases. These spectral properties are analyzed using the generalized polarization (GP). TheGP value can be used for the quantitation of each phase. The wavelength dependence of theGP value is used to ascertain the coexistence of different phase domains in the bilayer. Moreover, by following the evolution of Laurdan emission vs. time after excitation, the kinetics of phase fluctuation in phospholipid vesicles composed of coexisting gel and liquid-crystalline phases was determined.GP measurements performed in several cell lines did not give indications of coexistence of phase domains in their membranes. In natural membranes, Laurdan parameters indicate a homogeneously fluid environment, with restricted molecular motion in comparison with the phospholipid liquid-crystalline phase. The influence of cholesterol on the phase properties of the two phospholipid phases is proposed to be the cause of the phase behavior observed in natural membranes. In bilayers composed of different phospholipids and various cholesterol concentrations, Laurdan response is very similar to that arising from cell membranes. In the absence of cholesterol, from the steady-state and time-resolved measurements of Laurdan in phospholipid vesicles, the condition for the occurrence of separate coexisting domains in the bilayer has been determined: the molecular ratio between the two phases must be in the range between 30% and 70%. Below and above this range, a single homogeneous phase is observed, with the properties of the more concentrated phase, slightly modified by the presence of the other. Moreover, in this concentration range, the calculated dimension of the domains is very small, between 20 and 50 Å.     

Magnetic susceptibility of lysozyme

We have measured the magnetic susceptibility of hydrated powder of lysozyme by the Faraday method at different values of the applied magnetic field, and of lysozyme aqueous solutions by a superconducting magnetometer at different temperature. We find lysozyme to behave as a normal diamagnetic substance, and not in the abnormal way detected by previous authors.     

Estimating rate constants in a convection-diffusion system with a boundary reaction

While performing biomolecular interaction analysis (BIA), scientistsoften use surface plasmon resonance (SPR) to measure rate constantsof the associated reactions. A mathematical model of a BIAcore^TM,a common SPR device, consists of a convection-diffusion equationin a channel with a reacting surface at the channel ceiling.Asymptotic and singular perturbation techniques are used toanalyse the concentration of the reacting species in two cases:when the reaction occurs much more slowly than diffusion, andwhen the reaction occurs on the same time-scale as diffusion.Linear and nonlinear integral equations result from the analysis;explicit and asymptotic solutions are constructed for physicallyrealizable cases. These expressions provide a direct way toestimate the rate constants from raw data.     

Fast regularized linear sampling for inverse scattering problems

A new numerical procedure is proposed for the reconstruction of the shape and volume of unknown objects from measurements of their radiation in the far field. This procedure is a variant and the linear sampling method has a very acceptable computational load and is fully automated. It is based on exploiting an iteratively computed truncated singular‐value decomposition and heuristics to extract the desired signal from the background noise. Its performance on a battery of examples of different types is shown to be promising. Copyright © 2010 John Wiley & Sons, Ltd.