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convergence rate.OF VECTOR SUBDIVISION SCHEME

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Applied Mathematics(A Journal of Chinese Universities) 2007年第3期22卷 299-310页

作者： Liu Zhisong Dept. of Math. Zhejiang Univ. Hangzhou 310027 China

In this paper, some characterizations on the convergence rate.of both the homogeneous and nonhomogeneous subdivision schemes in Sobolev space are studied and given.

关键词： refinement equation subdivision scheme refinable function vector convergence rate.

Fast consensus seeking for multi-agent systems

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Journal of Systems Engineering and Electronics 2011年第3期22卷 534-539页

作者： Yingying She Huajing Fang Department of Control Science and Engineering Huazhong University of Science and TechnologyWuhan 430074P.R.China

For multi-agent systems based on the local information,the agents automatically converge to a common consensus state and the convergence speed is determined by the algebraic connectivity of the communication *** study fast consensus seeking problems of multi-agent systems in undirected networks,a consensus protocol is proposed which considers the average information of the agents＇ states in a certain time interval,and a consensus convergence criterion for the system is *** on the frequency-domain analysis and algebra graph theory,it is shown that if the time interval is chosen properly,then requiring the same maximum control effort the proposed protocol reaches consensus faster than the standard consensus *** are provided to demonstrate.the effectiveness of these theoretical results.

关键词： multi-agent systems consensus cooperative control convergence rate.

THE NONCONFORMING FINITE ELEMENT METHOD FOR SIGNORINI PROBLEM

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Journal of Computational Mathematics 2007年第1期25卷 67-80页

作者： Dongying Hua LiehengWang The First Fundamental Department Beijing Information Technology Institute Beijing100101 China LSEC ICMSEC Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China

We present the Crouzeix-Raviart linear nonconforming finite element approximation of the variational inequality resulting from Signorini problem. We show if the displacement field is of H2 regularity, then the convergence rate.can be improved from O（h3/4） to quasi-optimal O（h｜log h｜1/4） with respect to the energy norm as that of the continuous linear finite element approximation. If stronger but reasonable regularity is available, the convergence rate.can be improved to the optimal O（h） as expected by the linear approximation.

关键词： Nonconforming finite element method Signorini problem convergence rate.

SOLVING A CLASS OF INVERSE QP PROBLEMS BY A SMOOTHING NEWTON METHOD

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Journal of Computational Mathematics 2009年第6期27卷 787-801页

作者： Xiantao Xiao Liwei Zhang Department of Applied Mathematics Dalian University of Technology Dalian 116024 China

We consider an inverse quadratic programming （IQP） problem in which the parameters in the objective function of a given quadratic programming （QP） problem are adjusted as little as possible so that a known feasible solution becomes the optimal one. This problem can be formulated as a minimization problem with a positive semidefinite cone constraint and its dual （denoted IQD（A, b）） is a semismoothly differentiable （SC^1） convex programming problem with fewer variables than the original one. In this paper a smoothing Newton method is used for getting a Karush-Kuhn-Tucker point of IQD（A, b）. The proposed method needs to solve only one linear system per iteration and achieves quadratic convergence. Numerical experiments are reported to show that the smoothing Newton method is effective for solving this class of inverse quadratic programming problems.

关键词： Fischer-Burmeister function Smoothing Newton method Inverse optimization Quadratic programming convergence rate.

convergence rate.of Stochastic Approximation Algorithms in the Degenerate.Case

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Convergence Rate of Stochastic Approximation Algorithms in t...

New blind adaptive approach to multiuser detection in CDMA systems

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作者： Han-Fu Chen Laboratory of Systems and Control, Institute of Systems Science, The Chinese Academy of Sciences, Beijing 100080, P. R. China

＜正＞Let f（·） be an unknown function whose root x0 is sought by stochastic approximation. This paper demonstrate. the convergence rate.of stochastic approximation algorithms for the degenerate.case f’（x0 ） = 0. In comparison with the previous work, here no growth rate.restriction is imposed on f（·）, no statistical property is required for the measurement noise, the general step size is considered and the result is obtained for the multidimensional case, which is not a straightforward extension of the one-dimensional result.

关键词： Stochastic approximation convergence rate.

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Journal of Systems Engineering and Electronics 2004年第2期15卷 131-134,146页

作者： LüPingbao XieJianying SchoolofElectronicsandInformation ShanghaiJiaotongUniversityShanghai200030P.R.China

Due to a number of advantages, blind adaptive multiuser detector has become a research hotspot in recent years. But low convergence rate.problem occurs to many blind adaptive algorithms. A new blind adaptive approach to multiuser detection is presented. The simulation results show that by reasonably choosing time varying step size, the proposed detector can not only improve the convergence rate. but also reduce the bit error rate.(BER) of the system, and so it can effectively improve the system performance with less computational cost.

关键词： CDMA multiuser detector blind adaptive bit error rate convergence rate.

STOCHASTIC ADAPTIVE SWITCHING CONTROL BASED ON MULTIPLE MODELS

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Journal of Systems Science & Complexity 2002年第1期15卷 18-34页

作者： ZHANGYanxia GUOLei InstituteofSystemsScience AcademyofMathematicsandsystemsscienceChineseAcademyofSciencesBeijing100080China InstituteofSystemsScience AcademyofMathematicsandsystemsscienceChineseAcademyofSciencesBe

It is well known that the transient behaviors of the traditional adaptive control may be very poor in general, and that the adaptive control designed based on switching between multiple models is an intuitively appealing and practically feasible approach to improve the transient performances. In this paper, we shall prove that for a typical class of linear systems disturbed by random noises, the multiple model based least-squares(LS) adaptive switching control is stable and convergent, and has the same convergence rate.as that established for the standard least-squares-based self-tunning regulators. Moreover, the mixed case combining adaptive models with fixed models is also considered.

关键词： Multiple model switching control least-squares adaptive control convergence rate.

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近似已知函数的求导方法

高等学校计算数学学报 2006年第1期28卷 76-82页

作者：罗兴钧杨素华陈仲英赣南师范学院数学与计算机系中山大学科学计算与计算机应用系

We present a new stable approximate method for differentiation of specified functions. The convergence rate.of the approximate differentiation is improved under some conditions and the improved estimate is O(δ4/5), a... 详细信息

关键词： Ill-posed problems approximate differentiation convergence rate.

关于分块松弛算子中拟边界Jacobi成份的影响

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高等学校计算数学学报 1997年第3期 251-262页

作者：莫则尧李晓梅国防科技大学计算机系国防科技大学计算机系长沙410073

分布式存贮并行计算环境中，高效率的获取一般通过区域分解或数据分割实现大粒度并行;4]。因此，对于有效求解偏微分方程的多重网格算法;,并行计算均采用网格划分进行任务分配;6]以实现大料度并行。通讯的主体存在于松弛算子，其并行度... 详细信息

分布式存贮并行计算环境中，高效率的获取一般通过区域分解或数据分割实现大粒度并行;4]。因此，对于有效求解偏微分方程的多重网格算法;,并行计算均采用网格划分进行任务分配;6]以实现大料度并行。通讯的主体存在于松弛算子，其并行度是影响算法并行效率高低的关键因素。

关键词： Parallel multigird computations block by block relaxation operator Ja-cobi components convergence rate.