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STABILIZED BARZILAI-BORWEIN METHOD被引量：2
《Journal of Computational Mathematics》2019年第6期916-936,共21页Oleg Burdakov Yuhong Dai Na Huang 
Part of this work was done during Oleg Burdakovs visit to the Chinese Academy of Sciences;which was supported by the Visiting Scientist award under the Chinese Academy of Sciences President's International Fellowship Initiative for 2017;The second author was supported by the Chinese Natural Science Foundation(No.11631013);the National 973 Program of China(No.2015CB856002).
The Barzilai-Borwein(BB)method is a popular and efficient tool for solving large-scale unconstrained optimization problems.Its search direction is the same as for the steepest descent(Cauchy)method,but its stepsize ru...
关键词：UNCONSTRAINED optimization SPECTRAL ALGORITHMS STABILIZATION CONVERGENCE analysis. 
DESCENT DIRECTION STOCHASTIC APPROXIMATION ALGORITHM WITH ADAPTIVE STEP SIZES
《Journal of Computational Mathematics》2019年第1期76-94,共19页Zorana Luzanin Irena Stojkovska Milena Kresoja 
A stochastic approximation (SA)algorithm with new adaptive step sizes for solving unconstrained minimization problems in noisy environment is proposed.New adaptive step size scheme uses ordered statistics of fixed num...
关键词：UNCONSTRAINED OPTIMIZATION STOCHASTIC OPTIMIZATION STOCHASTIC APPROXIMATION NOISY function Adaptive step size DESCENT direction Linear regression model 
THE SECOND-ORDER OPTIMALITY CONDITIONS FOR VARIABLE PROGRAMMING
《Journal of Computational Mathematics》2008年第5期756-766,共11页Yanping Wang Chuanlong Wang 
NSF of Shanxi Province,20051009
We study in this paper the continuity of the objective function for variable program- ming. In particular, we study the second-order optimality conditions for unconstrained and constrained variable programming. Some n...
关键词：Second-order optimality condition UNCONSTRAINED CONSTRAINED Variable programming. 
A GLOBALLY DERIVTIVE-FREE DESCENT METHOD FOR NONLINEAR COMPLEMENTARITY PROBLEMS被引量：2
《Journal of Computational Mathematics》2000年第3期251-264,共14页Hou-duo Qi (Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, China) Yu-zhong Zhang (Institute of Operation Research, QuFu Normal Univer 
the National Natural Science Foundation of China
Based on a class of functions, which generalize the squared Fischer-Burmeister NCP function and have many desirable properties as the latter function has, we reformulate nonlinear complementarity problem (NCP for shor...
关键词：Complementarity problem NCP-function unconstrained minimization method derivative-free descent method 
Unconstrained Methods for Generalized Complementarity Problems被引量：3
《Journal of Computational Mathematics》1997年第3期253-264,共12页J.M. Peng Y. Yuan(State Key Laboratory of Scientific and Engineering Conputing, ICMSEC, Chinese Academy of Sciences, Beijing, China) 
In this paper, the generalized complementarity problem is formulated as an unconstrained optimization problem. Our results generalize the results of [9]. The dimensionality of the unconstrained problem is the same as ...
关键词：In PX MATH 
UNCONSTRAINED METHODS F0R GENERALIZED NONLINEAR COMPLEMENTARITY AND VARIATIONAL INEQUALITY PROBLEMS被引量：2
《Journal of Computational Mathematics》1996年第2期99-107,共9页J.M. Peng(LSEC Institute of Computational Mathematics and Scientific/Engineering Cmputing,Chinese Academy of Sciences, Beijing, China) 
In this papert we construct unconstrained methods for the generalized nonlinearcomplementarity problem and variational inequalities. Properties of the correspon-dent unconstrained optimization problem are studied. We ...
关键词：MATH UNCONSTRAINED METHODS F0R GENERALIZED NONLINEAR COMPLEMENTARITY AND VARIATIONAL INEQUALITY PROBLEMS 
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