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期刊An adaptive trust region method and its convergence被引量:19
《中国科学:数学英文版》2002年第5期620-631,共12页章祥荪 张菊亮 廖立志 
The authors would like to thank Prof Y.-X. Yuan for providing the source programsfor ref. [16]. Zhang Xiangsun was supported by the National Natural Science Foundation of China (Grant No. 39830070) ; Hong Kong Baptist University; Zhang Juliang was su
In this paper, a new trust region subproblem is proposed. The trust radius in the new subproblem adjusts itself adaptively. As a result, an adaptive trust region method is constructed based on the new trust region sub...显示全部
关键词:TRUST REGION method  UNCONSTRAINED optimization  global convergence  SUPERLINEAR convergence. 
期刊Conjugate Gradient Methods with Armijo-type Line Searches被引量:17
《应用数学学报:英文版》2002年第1期123-130,共8页Yu-Hong DAIState Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 
Supported by the National Natural Science Foundation of China (No.19801033 and 10171104).
Abstract Two Armijo-type line searches are proposed in this paper for nonlinear conjugate gradient methods.Under these line searches, global convergence results are established for several famous conjugate gradientmet...显示全部
关键词:UNCONSTRAINED optimization CONJUGATE GRADIENT method LINE SEARCH global convergence 
期刊convergence of a smoothing algorithm for symmetric cone complementarity problems with a nonmonotone line search被引量:8
《中国科学:数学英文版》2009年第4期833-848,共16页HUANG ZhengHai HU ShengLong HAN JiYe 
supported by National Natural Science Foundation of China (Grant Nos. 10571134, 10671010);Natural Science Foundation of Tianjin (Grant No. 07JCYBJC05200)
In this paper, we propose a smoothing algorithm for solving the monotone symmetric cone complementarity problems (SCCP for short) with a nonmonotone line search. We show that the nonmonotone algorithm is globally conv...显示全部
关键词:complementarity problem SYMMETRIC CONE Euclidean JORDAN ALGEBRA SMOOTHING algorithm global convergence 
期刊LONG-TIME BEHAVIOR OF FINITE DIFFERENCE SOLUTIONS OF A NONLINEAR SCHRODINGER EQUATION WITH WEAKLY DAMPED被引量:7
《计算数学:英文版》2001年第4期393-406,共14页Fa-yong Zhang Shu-juan Lu 
The research was supported by the National Natural Science Fundation of China.
A weakly demped Schrodinger equation possessing a global attractor are considered. The dynamical properties of a class of finite finite difference scheme are analysed. The exsitence of global attractor is proved for t...显示全部
关键词:global ATTRACTOR Nonlinear SCHRODINGER equation Finite DIFFERENCE method Stibility and convergence. 
期刊convergence Analysis of a Kind of Deterministic Discrete-Time PCA Algorithm
《理论数学进展(英文)》2021年第5期408-426,共19页Ze Zhu Wanzhou Ye Haijun Kuang 
We proposed a generalized adaptive learning rate (GALR) PCA algorithm, which could be guaranteed that the algorithm’s convergence process would not be affected by the selection of the initial value. Using the determi...显示全部
关键词:GALR PCA Algorithm DDT Method global convergence Online Data 
期刊global convergence property of s-dependent GFR conjugate gradient method被引量:6
《科学通报:英文版》1998年第23期1959-1965,共7页WANG Changyu 1,2 and ZHANG Yuzhong\+1 1. Institute of Operations Research in Qufu Normal University, Qufu 273165, China 2. Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China 
An \%S\%_dependent GFR method and a generalized conjugate gradient method are designed. Two estimated values of upper bounds for the ratio of β k to β FR k are given. The two convergence theorems are proved. The glo...显示全部
关键词:steplength linear SEARCH global convergence CONJUGATE gradient. 
期刊一种修正的HS共轭梯度法及全局收敛性被引量:5
《高等学校计算数学学报》2010年第2期150-156,共7页王开荣 刘金魁 邹黎敏 
1引言考虑无约束极小化问题:(?),(1)其中f(x)连续可微,其梯度函数用g(x)表示.共轭梯度法求解(1)的常用迭代格式为:x_(k+1)=x_k+α_kd_k,(2)(?)(3)其中g_k=▽f(x_k),α_k≥0是由某种线搜索得到的步长因子;d_k为搜索方向,β_k为标量,β_k...显示全部
关键词:unconstrained optimization conjugate gradient method Hestenes-Stiefel method Wolfe line search global convergence 
期刊A SQP Method for Inequality Constrained Optimization被引量:4
《应用数学学报:英文版》2002年第1期77-84,共8页Ju-liang ZHANG, Xiang-sun ZHANGInstitute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 
Supported by the National Natural Sciences Foundation of China (No.39830070 and 10171055).
Abstract In this paper, a new SQP method for inequality constrained optimization is proposed and the globalconvergence is obtained under very mild conditions.
关键词:SQP method global convergence INEQUALITY CONSTRAINED optimization NONDIFFERENTIABLE EXACT PENALTY function 
期刊On filter-successive linearization methods for nonlinear semidefinite programming被引量:4
《中国科学:数学英文版》2009年第11期2341-2361,共21页LI ChengJin SUN WenYu 
supported by National Natural Science Foundation of China (Grant No. 10871098);Science Foundation of Jiangsu Province (Grant No. BK2006214)
In this paper we present a filter-successive linearization method with trust region for solutions of nonlinear semidefinite programming. Such a method is based on the concept of filter for nonlinear programming introd...显示全部
关键词:SEMIDEFINITE PROGRAMMING nonlinear optimization successive LINEARIZATION METHOD FILTER METHOD global convergence 
期刊global exponential stability of almost periodic solution for a large class of delayed dynamical systems被引量:4
《中国科学:数学英文版》2005年第8期1015-1026,共12页LU Wenlian CHEN Tianping 
We are grateful to the reviewers for their helpful comments.This work was supported by the National Natural Science Foundation of China(Grant Nos.69982003&60074005);also supported by Graduate Student Innovation Foundation of Fudan University.
Research on delayed neural networks with variable self-inhibitions, interconnection weights, and inputs is an important issue. In this paper, we discuss a large class of delayed dynamical systems with almost periodic ...显示全部
关键词:DELAYED DYNAMICAL systems  ALMOST periodic solution  global EXPONENTIAL convergence. 
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