多值线性算子的Moore-Penrose齐性算子部分

利用拟线性投影定义了多值线性算子的Moore-Penrose齐性算子部分.经过研究这种齐性算子部分与图的关系,证得了多值线性算子的Moore-Penrose齐性算子部分为某单值齐性算子的图象.从而对正交算子部分与度量算子部分的结论进行了实质推广.     

基于K-Means动态聚类的投影寻踪分类模型

投影寻踪分类模型作为一种多因素影响问题的综合评价方法,已经被研究者广泛应用在各个领域并取得了良好的效果.然而模型本身还存在密度窗宽不确定以及模型无分类规则等尚需解决的问题.针对这些问题,提出一个基于K-Means动态分类的投影寻踪分类模型,定义了一个新的投影指标.实证分析说明了该模型的可靠性和可操作性.     

Coexistence of normal, super-, and hyper-deformation in nuclei: A study with angular momentum projection method

Angular-momentum-projected energy surface calculations for A ≈ 110 nuclei indicate three distinct energy minima occurring at different angular-momenta. These correspond to normal, super-, and hy- per-deformed shapes coexisting in one nucleus. 110Pd is studied in detail, with a quantitative prediction on super- and hyper-deformed spectra by the Projected Shell Model calculation. It is found that several other neighboring nuclei in the A-110 mass region, with the neutron number around 64, also exhibit clear s...     

Ensemble projection of 1―3℃ warming in China

Studies on the influences of climate change on biogeochemical cycles and on the key vulnerabilities and the risk from climate change suggest that annual surface temperature rise of 1 ℃, 2℃ and 3℃ above the present level would lead to changes in extreme weather and climate events, food production, fresh water resources, biodiversity, human mortality, etc. Here two sets of simulations as performed with seventeen atmosphere-ocean general circulation models （AOGCMs） for the Fourth Assessment Report of the Intergovernmental Panel on Climate Change （IPCC AR4）, i.e. the model outputs from the 20th Century Climate in Coupled Models （20C3M） and from the Special Report on Emissions Scenarios （SRES） emission scenarios B1, A1B and A2, are used to analyze spatial and temporal characteristics of the above values in China over the 21st century. The results indicate that the rate of warming varies from region to region. The above values are reached much later （earlier） when emission amount is lower （higher）, and spread of the time when the lower （higher） value is exceeded is narrower （wider） among the three scenarios. As far as the spatial pattern is concerned, the above values are crossed much earlier in northern China and the Tibetan Plateau with respect to the Yangtze-Huaihe River Valley and South China.     

一种新的电磁层析成像激励系统

针对局部线圈激励模式和空间线圈激励模式存在的不足,根据理论分析和仿真研究提出了一种新的电磁层析成像激励系统,能方便地构成了不同的激励电流分布,在此系统上实现的似乎平行场激励方案,可以产生较多的独立投影方法,并能获得比较均匀的灵敏度分布,改善了系统图像重建的质量。     

斜投影光流场刚体三维运动和结构计算

本文研究从斜投影光流点及加速度恢复刚体三维运动速度、加速度及结构参数的唯一性和约束,建立了光流运动方程组,证明了利用斜投影光流场中四个光流点及其加速度可完全确定刚体的三维角速度和角加速度参数,平移速度和平移加速度不能确定但存在三个约束关系即允许有三个自由度,虽然不能确定刚体位置,但可以充分确定刚体结构形状大小。     

不确定观测ARMA信号滤波器设计

将具有不确定观测的ARMA信号滤波问题转化为具有不确定观测的状态空间模型的状态和白噪声滤波问题.利用射影理论,推导出了在线性最小方差意义下状态滤波器和白噪声滤波器.进而获得具有不确定观测的ARMA信号滤波器.对于存在不确定观测的ARMA信号,以往在完整观测数据下的AMRA 信号滤波算法已经失去最优性.当不存在观测数据丢失时,算法等同于以往最优ARMA信号滤波器.仿真例子说明了其有效性.     

求解矩阵方程组的斜投影法

利用广义逆Ａ（２）Ｔ,Ｓ的性质给出了求解矩阵方程组的斜投影法     

斜投影算子及其在信号极化滤波中的应用

以斜投影理论为基础,给出了存在多个干扰子空间的斜投影算子计算方法,并且将斜投影算子与极化滤波相结合,提出了基于斜投影算子的极化滤波方法,该方法在完全抑制干扰的同时对目标信号不造成任何损失.     

On the Convergence of a New Hybrid Projection Algorithm

For unconstrained optimization, a new hybrid projection algorithm is presented m the paper. This algorithm has some attractive convergence properties. Convergence theory can be obtained under the condition that Δ↓f（x） is uniformly continuous. If Δ↓f（x） is continuously differentiable pseudo-convex, the whole sequence of iterates converges to a solution of the problem without any other assumptions. Furthermore, under appropriate conditions one shows that the sequence of iterates has a cluster-point if and only if Ω＊ ≠ θ. Numerical examples are given at the end of this paper.