对称矩阵值函数空间的滤波器设计

利用矩阵值小波分析理论探讨对称矩阵值函数空间上的多分辨分析理论.另外,文章还给出了有限长对称矩阵值滤波器的设计.     

基于电阻平衡条件的比例运算电路

为使比例运算电路的设计具有通用性,给出了任意比例系数的加减法运算电路,分析了比例系数与平衡电阻、反馈电阻的关系,将运算放大器输入端电阻的平衡条件转化为输入
信号比例系数的关系,并探索了输入端电阻平衡,比例系数取值关系变化时,加减法运算电路构成形式的变化情况,给出一些新的电路设计方案。扩大了比例运算电路的应用范围。     

Nonmonotonic Reduced Projected Hessian Method Via an Affine Scaling Interior Modified Gradient Path for Bounded-Constrained Optimization

The authors propose an affine scaling modified gradient path method in association with reduced projective Hessian and nonmonotonic interior backtracking line search techniques for solving the linear equality constrained optimization subject to bounds on variables. By employing the QR decomposition of the constraint matrix and the eigensystem decomposition of reduced projective Hes- sian matrix in the subproblem, the authors form affine scaling modified gradient curvilinear path very easily. By using interior backtracking line search technique, each iterate switches to trial step of strict interior feasibility. The global convergence and fast local superlinear/quadratical convergence rates of the proposed algorithm are established under some reasonable conditions. A nonmonotonic criterion should bring about speeding up the convergence progress in some ill-conditioned cases. The results of numerical experiments are reported to show the effectiveness of the proposed algorithm.     

中原油田储层结垢预测

详细分析研究了中原油田地层产出水、注入水和各种处理水的离子组成及特点，并采用结垢指数法、饱和系数法和饱和指数法对储层结垢进行了预测．结果表明：中原油田文一污、文二污、濮一污泵前注入水和各种处理水等在油藏条件下都有结垢趋势存在，结垢物质主要为ＣａＣＯ３、ＣａＳＯ４、ＢａＳＯ４、ＳｒＳＯ４，其中ＣａＣＯ３的结垢趋势最大，ＣａＳＯ４、ＢａＳＯ４、ＳｒＳＯ４的结垢趋势相对较小；随着储层温度增加；ＣａＣＯ３、ＣａＳＯ４、ＳｒＳＯ４的结垢趋势增加；ｐＨ值增加，ＣａＣＯ３的结垢趋势增加．     

r重正交平衡多小波的对称性的一个结果

给出了关于r重正交，平衡多小波的对称性的一个基本结果，为r重多小波的参数化构造提供了有效途径。     

空间信息尺度变换在铁路数据处理中的应用

铁路地理信息系统是一个具有等级结构的复杂系统,包含了各种尺度的空间信息,这就需要在实际应用中进行空间信息的多尺度变换。本文通过分析铁路空间信息的多尺度特征,结合信息自动综合方法,给出了铁路空间信息多尺度变换的方法。     

一组尺度化的解非线性方程组的Bro-ABS一类方法(英文)

提出了一组尺度化的Broyden-ABS算法. 算法中Jacobian矩阵的行向量为一组可变的尺度化Broyden公式所递推,在迭代过程中,行递推一直保持Jacobian矩阵的稀疏性. 文章的最后一节,在标准假设下,证明了该方法的超线性和收敛性     

Radial basis functions for exploratory data analysis: An iterative majorisation approach for Minkowski distances based on multidimensional scaling

This paper considers the use of radial basis functions for exploratory data analysis. These are used to model a transformation from a high-dimensional observation space to a low-dimensional one. The parameters of the model are determined by optimising a loss function defined to be the stress function in multidimensional scaling. The metric for the low-dimensional space is taken to be the Minkowski metric with order parameter 1<-p<-2. A scheme based on iterative majorisation is proposed.