GLOBAL CONVERGENCE OF NONMONOTONIC TRUST REGION ALGORITHM FOR NONLINEAR OPTIMIZATION

§ 1　 IntroductionIn this paper we study the following nonlinear equality constrained optimization prob-lem:minimize f(x) ,subjectto h(x) =0 ,(P)where h(x) =(h1 (x) ,h2 (x) ,...,hm(x) ) T,f and hi(i=1 ,2 ,...,m) are Rn→R twice conti-nously differentiable(m≤n) .Many authors have studied the problem(P) with trustregion method(see,references[1～ 3 ] ) .These methods have the same property:to enforce strict monotonicity for meritfunction at every iteration.Paper[4 ] shows thatstrictmonotonic …     

Synergetic effects during sputter-assisted depth profiling: Growth-dominated topography development on InP and a model of the atomic mechanism

Growth-dominated extreme topography development on ionbombarded wafers of InP is reported and is explained in terms of the micro region model presented in summary form. This model postulates the existence of an ion-bombardment-produced ensemble of crystallites and non-crystalline aggregations of atoms (composed of the substrate material, of dopant and of oxygen from the native oxide layer) where the majority of InP micro regions is so small (nanometer dimensions) that most interstitials created in collision events between bombarding ions and atoms of the micro region can reach an interfacial boundary rather than recombine with a vacancy from the same or another collision event. These atoms are then transported via interfacial boundaries and over the surface to screw dislocations where crystal stubs proceed to grow until the damage rate by ion bombardment overtakes the growth rate. Ion-bombardment-induced compressive stresses favour diffusion towards the surface. Temperature transients within micro regions assist both interfacial diffusion and damage repair. The topography is a result of competition between growth and sputtering. Different growth rates cause different topographies. The development of an extreme topography can be suppressed by oxygen flooding of the sputtered surface, by simultaneous electron beam scanning, as well as by Cs⁺ ion bombardment.     

Estimation of the proton energy spectrum in knee region by analog read-out of ARGO-YBJ experiment

Based on the six months data set of ARGO-YBJ experiment with analog read-out and its Monte Carlo simulation,we study the difference between different primaries induced showers by using the space-time information of the charged particles in Extensive Air Showers.With five parameters which can efficiently pick out primary proton induced showers as inputs of an artificial neural network,the proton spectrum from 100 TeV to 10 PeV can be obtained.     

基于三维评价的区域不平衡发展研究——以福建省外商投资环境为例

从一定时空粒度三维评价切入,决策矩阵预处理后,利用频率法变换为概率,再根据玻尔兹曼熵函数与对立概念变换为有序度,使不同时间截面、不同对象时间序列间均可比较.经时空权变灵敏分析,利用公因子方差赋权法确定权矩阵,建立三维评价模型,提出基于三维评价的诊断和表达区域不平衡发展的方法、定量指标.根据2000～2007年福建统计年鉴,从1999～2006年福建省地级市外商投资环境三维评价切入,分析福建省外商投资环境不平衡发展特征.     

Superlinearly convergent affine scaling interior trust-region method for linear constrained LC<Superscript>1</Superscript> minimization

We extend the classical affine scaling interior trust region algorithm for the linear constrained smooth minimization problem to the nonsmooth case where the gradient of objective function is only locally Lipschitzian. We propose and analyze a new affine scaling trust-region method in association with nonmonotonic interior backtracking line search technique for solving the linear constrained LC1 optimization where the second-order derivative of the objective function is explicitly required to be locally Lipschitzian. The general trust region subproblem in the proposed algorithm is defined by minimizing an augmented affine scaling quadratic model which requires both first and second order information of the objective function subject only to an affine scaling ellipsoidal constraint in a null subspace of the augmented equality constraints. The global convergence and fast local convergence rate of the proposed algorithm are established under some reasonable conditions where twice smoothness of the objective function is not required. Applications of the algorithm to some nonsmooth optimization problems are discussed.     

具有电子旋转方向的旋转间断的稳定性

用一维混合粒子编码研究了具有电子旋转方向的对称和非对称旋转间断的稳定性。发现在相对窄的过渡层厚度下,具有电子旋转方向的旋转间断是不稳定的,它趋向于发展成离子旋转方向的旋转间断和一些MHD波。这个发展过程部分地受到电子温度的限制。当过渡层厚度增加到足够宽时,电子旋转方向的旋转间断变成稳定的。本文简单地讨论了导致这种旋转间断不稳定的可能原因。     

Chebyshev pseudospectral method for computing numerical solution of convection–diffusion equation

A method for computing highly accurate numerical solutions of 1D convection–diffusion equations is proposed. In this method, the equation is first discretized with respect to the spatial variable, transforming the original problem into a set of ordinary differential equations, and then the resulting system is integrated in time by the fourth-order Runge–Kutta method. Spatial discretization is done by using the Chebyshev pseudospectral collocation method. Before describing the method, we review a finite difference-based method by Salkuyeh [D. Khojasteh Salkuyeh, On the finite difference approximation to the convection–diffusion equation, Appl. Math. Comput. 179 (2006) 79–86], and, contrary to the proposal of the author, we show that this method is not suitable for problems involving time dependent boundary conditions, which calls for revision. Stability analysis based on pseudoeigenvalues to determine the maximum time step for the proposed method is also carried out. Superiority of the proposed method over a revised version of Salkuyeh’s method is verified by numerical examples.     

三峡库区奉节县三马山移民小区岩体的变形及其机制

三马山小区巴东组三段泥质灰岩由于岩溶溶蚀作用已全部发生了变形 ,根据变形程度的差别 ,可将变形区分为三个地带 ,即上部轻度溶蚀沉降地带 (Ⅰ ) ,中部溶蚀沉降地带 (Ⅱ )和下部沿江滑坡 (Ⅲ )。建筑设施主要分布在中部溶蚀沉降地带 ,应注意防水。下部沿江滑坡治理难度大 ,不适于移民迁建。     

Conjugated turbulent heat transfer with axial conduction in wall and convection boundary conditions in a parallel-plate channel

The steady-state conjugated turbulent heat transfer with axial conduction in the wall and convection boundary conditions is solved with the generalized integral transform technique for the flow of Newtonian fluid in parallel-plate duct. A lumped wall model that neglects transverse temperature gradients in the solid but that takes into account the axial heat conduction along the wall is adopted. Highly accurate results are presented for the fluid bulk and wall temperatures and Nusselt number. The effects of the conjugation parameter, Biot number, and the dimensionless channel length on Nusselt number and fluid bulk and wall temperatures are systematically investigated.