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An unconstrained optimization method using nonmonotone second order Goldstein's line search

Science china Mathematics 2007年第10期50卷 1389-1400页

作者： Wen-yu SUN~(1+) Qun-yan ZHOU~(1,2) ~1 School of Mathematics and Computer Science,Nanjing Normal university,Nanjing 210097,china ~2 department of basic courses,jiangsu teachers university of technology,changzhou 213001,china 1. School of Mathematics and Computer Science Nanjing Normal University Nanjing 210097 China 2. department of basic courses Jiangsu Teachers University of Technology Changzhou 213001 China

In this paper, an unconstrained optimization method using the nonmonotone second order Goldstein's line search is proposed. By using the negative curvature information from the Hessian,the sequence generated is shown to converge to a stationary point with the second order optimality conditions. Numerical tests on a set of standard test problems confirm the efficiency of our new method.

关键词： nonmonotone method, direction of negative curvature, line search, descent pair,unconstrained optimization

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四阶非线性特征值问题的正解

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系统科学与数学 2004年第4期24卷 433-442页

作者：周友明江苏技术师范学院基础部常州213015

本文考虑了四阶非线性特征值问题 d4u/dt4=λg(t)f(u,u"),00.利用锥压缩与拉伸不动点定理,获得了上述问题正解的存在性结果.

关键词：非线性特征值问题四阶正解的存在性锥压缩不动点定理拉伸

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Robust Non-fragile Controller Design for Discrete Descriptor Systems with Parameter Uncertainty

Robust Non-fragile Controller Design for Discrete Descriptor...

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第三十届中国控制会议

作者： WO Songlin~1,JIANG Jianqing~2,SHI Guodong~3,LIU Feng~1 1.School of Electrical & Information Engineering,jiangsu teachers university of technology,changzhou,213001,P.R.china 2.department of basic courses,changzhou College of information technology,changzhou,213164,P.R.china 3.School of Information Science &Engineering,changzhou university,changzhou,213164,P.R.china

＜正＞This paper is concerned with the design problem of robust non-fragile controller for discrete descriptor systems with parameter uncertainties and controller gain *** parameter uncertainties and controller gain variations are assumed to be time-invariant and *** conditions for a static state feedback robust controller with additive uncertainty and multiplicative uncertainty are obtained in terms of a set of matrix inequalities,*** these conditions,the problems of robust non-fragile controller for discrete descriptor systems are *** expressions of desired state feedback robust controller are also ***,an illustrative example is provided to demonstrate the applicability of the proposed approach.

关键词： Discrete descriptor systems Non-fragile control Controller gain variation Robust control

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A New Polynomial Interior-Point Algorithm for Monotone Linear Complementarity Problem Based on a Kernel Function

A New Polynomial Interior-Point Algorithm for Monotone Linea...

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第八届中国青年运筹信息管理学者大会

作者： Wang Guo-Qiang Bai Yan-Qin Qian Zhong-Gen department of Mathematics, College of Sciences, Shanghai university, Shanghai, 200444 College of Vocational technology, Shanghai university of Engineering Science, Shanghai, 200437 department of basic Science, jiangsu teachers university of technology, changzhou, 213001

＜正＞In this paper, we present a new polynomial interior-point algorithm for monotone linear complementarity problem based on a kernel function. The proposed function is defined by some more efficient easy to check and mild conditions. These properties enable us to improve the polynomial complexity bound of large-update interior-point method to O（（?）log n log n/ε）, which is the currently best known complexity bound for the algorithm with large-update method.

关键词： linear complementarity problem interior-point method large-update method polynomial complexity

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