A Modified Alternating Direction Method for Variational Inequality Problems

The alternating direction method is an attractive method for solving large-scale variational inequality problems whenever the subproblems can be solved efficiently. However, the subproblems are still variational inequality problems, which are as structurally difficult to solve as the original one. To overcome this disadvantage, in this paper we propose a new alternating direction method for solving a class of nonlinear monotone variational inequality problems. In each iteration the method just makes an orthogonal projection to a simple set and some function evaluations. We report some preliminary computational results to illustrate the efficiency of the method. Accepted 4 May 2001. Online publication 19 October, 2001.     

一种基于定向天线的邻节点发现算法

为充分利用定向天线的引入而带来的技术上的优势,提出了一种基于定向天线的自组网邻节点发现算法。通过空闲节点定向快扫描侦听信道,发送节点在相同方向上发送6次HELLO信息来减少隐藏终端问题,同时引入节点信息共享机制。仿真结果表明,该发现算法具有发现速度快,对节点密度有较好的适应性等特点。     

Time and direction of arrival detection and filtering for imaging in strongly scattering random media

We study detection and imaging of small reflectors in heavy clutter, using an array of transducers that emits and receives sound waves. Heavy clutter means that multiple scattering of the waves in the heterogeneous host medium is strong and overwhelms the arrivals from the small reflectors. Building on the adaptive time-frequency filter of [Borcea et al, SIIMS 2011;4(3)], we propose a robust method for detecting the direction of arrival of the direct echoes from the small reflectors, and suppressing the unwanted clutter backscatter. This improves the resolution of imaging. We illustrate the performance of the method with realistic numerical simulations in a non-destructive testing setup.     

关于Schr(o)der函数Borel方向的一个应用

本文应用Borel方向和充满圆的关系得到了方程F(z)=R(f(z))的一个充分必要条件,并给出它关于Schr(o)der方程f(sz)=R(f(z))的-个应用,这里s是一常数且|s|＞,R(w)是次数大于2的有理函数.     

Some computational methods for systems of nonlinear equations and systems of polynomial equations

This paper gives a brief survey and assessment of computational methods for finding solutions to systems of nonlinear equations and systems of polynomial equations. Starting from methods which converge locally and which find one solution, we progress to methods which are globally convergent and find an a priori determinable number of solutions. We will concentrate on simplicial algorithms and homotopy methods. Enhancements of published methods are included and further developments are discussed.     

电扫描恒差比幅测向精度分析

电扫描多波束恒差比幅测向体制在现代雷达截获接收机中有着广泛应用。他是由微波开关依次快速接通各个天线，通过比较相邻天线接收通道上信号幅度的大小来实现测向的。文章首先以任两个相邻天线和全向参考天线接收及信号处理过程，详细推导了电扫描恒差比幅测向方程。然后以该方程为基础，根据该方程中各个观测量相互独立的特点，方位测量误差的均方根值可由测向方程的全微分求得，并将其作为电扫描恒差比幅测向的精度，由该精度公式可以看出，电扫描恒差比幅测向有很高的精度，并且在不同的角度上，其精度保持稳定。     

沿法线方向改进非DEA有效DMU

现有的非DEA有效DMU的改进方法造成DMU的投入或产出的波动太大,因而难以进行改进.提出了沿法线方向改进非DEA有效DMU的新方法.可以使非DEA有效DMU尽快到达有效前沿面,成为DEA有效,减小了波动幅度,并结合12所重点理工高校效评价的实际,验证了本方法的优势.     

激光测距新方法研究

传统相位式激光测距存在着后续信号处理复杂 ,器件性能要求高的缺陷 ,本文通过信号分析 ,提出一种新的非合作目标激光测距方法 ,消除了传统相位式激光测距的缺陷     

Function S-rough Sets and Their Law Characteristic

Function S-rough sets(Function Singular rough sets) are defined by R-function equivalence class which has dynamic characteristic, and a function is s law, function S-rough sets have law characteristic. Function S-rough sets has these forms: function one direction S-rough sets, function two direction S-rough sets and dual of function one direction S-rough sets. This paper presents the law characteristic of function one direction S-rough sets and puts forward the theorems of law-chain-attribute and law-belt. Function S-rough sets is s new research direction of the rough sets theory.