Local Convergence of the Affine-Scaling Interior-Point Algorithm for Nonlinear Programming

This paper addresses the local convergence properties of the affine-scaling interior-point algorithm for nonlinear programming. The analysis of local convergence is developed in terms of parameters that control the interior-point scheme and the size of the residual of the linear system that provides the step direction. The analysis follows the classical theory for quasi-Newton methods and addresses q-linear, q-superlinear, and q-quadratic rates of convergence.     

Two Generalized Constructions of Relative Difference Sets

We give two generalizations of some known constructions of relative difference sets. The first one is a generalization of a construction of RDS by Chen, Ray-Chaudhuri and Xiang using the Galois ring GR(4, m). The second one generalizes a construction of RDS by Ma and Schmidt from the setting of chain rings to a setting of more general rings.     

多指标决策与评价的新方法——主成份投影法

本文介绍了主成份投影法的原理和实施步骤 ,并对全国 31个省、自治区和直辖市的 1998年经济效益指标进行综合分析和排序     

Local asymptotic normality and asymptotical minimax efficiency of the MLE under random censorship

Here we study the problems of local asymptotic normality of the parametric family of distributions and asymptotic minimax efficient estimators when the observations are subject to right censoring. Local asymptotic normality will be established under some mild regularity conditions. A lower bound for local asymptotic minimax risk is given with respect to a bowl-shaped loss function, and furthermore a necessary and sufficient condition is given in order to achieve this lower bound. Finally, we show that this lower bound can be attained by the maximum likelihood estimator in the censored case and hence it is local asymptotic minimax efficient.     

M—可加细函数的局部和整体线性无关性

讨论具有紧支集M的可加细函数的局部线性无关性和整体线性无关性的等价关系。     

High Pressure Induced Coil-Globule Transitions of Smart Polymers

Summary: In current work time-resolved optical spectroscopy (TROS) has been used to study coil-globule transitions monitored by the local segmental dynamics of anthracene labeled poly (N-isopropymethacrylamide), PNIPMAM as a function of pressure (0.1 MPa–200 MPa) over a temperature range of 283 K to 333 K. The positions of temperature-induced transition were observed to be independent on molecular weight of polymer at low pressures. The positions of pressure-induced transition were observed to be dependent on molecular weight of polymer at temperatures below LCST at atmospheric pressure. Double globule-coil-globule transition was observed to occur with pressure increasing at temperatures nearly above LCST. All these results along with values of intrinsic viscosity evaluated from values of correlation times measured for globules formed at different pressure/temperature conditions suggest the different mechanisms of compactisation governed by pressure and temperature and, correspondently, the different types of final structures. At low pressures with temperature increasing the compact, well-packed globules are forming via initial interactions between neighboring parts of polymer chain and further collapse. Relatively loosened particles are forming with pressurizing at low temperatures. Interaction between remote along the chain units takes part from the first stage of globule formation. And finally, rather solvated and irregularly twisted particles are forming at high pressure and high temperatures, i.e. at conditions, when both processes are involved.     

带孔洞的金属拉伸的分子动力学

在不同负静压下对中心带有一个球形孔洞的面心立方金属铜进行分子动力学模拟,从晶体的形变,原子分布示意图,径向分布函数等方面进行讨论.发现在弱的负压下,孔洞及材料作弹性变形,超过一定阈值时出现塑性变形,并在局部出现相变.在极强的负压下,材料断裂.随拉伸应力的增加,材料经历弹性均匀拉伸——局部fcc到hcp的相变及缺陷的产生——缺陷积累产生微裂纹或空洞——材料断裂的过程.     

A new type of C -numerical range arising in quantum computing

We consider a new type of numerical range motivated by recent applications in quantum computing. We term the object of interest local C -numerical rangeW_loc(C, A) of A. It is obtained by replacing the special unitary group in the definition of the C -numerical range by the so-called local subgroup of SU (2^N ), i.e. by the N -fold tensor product SU (2) ⊗ · · · ⊗ SU(2) of unitary (2 × 2)-matrices. First, it is shown that the local C -numerical range has rather unusual geometric properties compared to the ordinary one, e.g. it is in general neither star-shaped nor simply connected. Then two numerical algorithms, a Newton and a conjugate gradient method on the Lie group SU (2) ⊗ · · · ⊗ SU (2), are demonstrated to maximize the real part of W_loc(C, A) which also gives a Euclidean measure of the so-called pure-state entanglement in quantum computing. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Effective thermoelastic properties of discrete-fiber reinforced materials with transversally-isotropic components

In the present paper, we will illustrate the application of the method of conditional moments by constructing the algorithm for determination of the effective elastic properties of composites from the given elastic constants of the components and geometrical parameters of inclusions. A special case of two-component matrix composite with randomly distributed unidirectional spheroidal inclusions is considered. To this end it is assumed that the components of the composite show transversally isotropic symmetry of thermoelastic properties and that the axes of symmetry of the thermoelastic properties of the matrix and inclusions coincide with the coordinate axis x ₃. As a numerical example a composite based on carbon inclusions and epoxide matrix is investigated. The dependencies of Young’s moduli, Poisson’s ratios and shear modulus from the concentration of inclusions and for certain values which characterize the shape of inclusions are analyzed. The results are compared and discussed in context with other theoretical predictions and experimental data.      

Applying local model approach for tidal prediction in a deterministic model

In recent years, a practice of tidal prediction based on a deterministic model or by a time series forecasting model has been established. A deterministic model can predict tidal movement and capture the dynamics of the flow pattern over the entire domain. However, due to the simplification of model settings and near shore effects, the accuracy of the numerical model can diminish. Time series forecasting is capable of capturing the underlying mechanism that may not be revealed in the deterministic model simulation. However, such data‐driven forecast fails to maintain accuracy with the progress of forecast horizon. In this paper, a scheme that combines the advantages of these two methods is introduced. The model errors are forecasted to different time horizons using a data‐driven approach, and are then superimposed on the simulation results in order to correct the model output. Based on the proposed method, it is found that the accuracy is significantly improved with more than 50% of the errors removed on the average. Copyright © 2008 John Wiley & Sons, Ltd.