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A New Descent Nonlinear Conjugate Gradient Method for Unconstrained Optimization
《Applied Mathematics》2011年第9期1119-1123,共5页Hao Fan Zhibin Zhu Anwa Zhou 
In this paper, a new nonlinear conjugate gradient method is proposed for large-scale unconstrained optimization. The sufficient descent property holds without any line searches. We use some steplength technique which ...
关键词：Large Scale UNCONSTRAINED Optimization CONJUGATE Gradient Method SUFFICIENT DESCENT Property Globally CONVERGENT 
Modified LS Method for Unconstrained Optimization
《Applied Mathematics》2011年第6期779-782,共4页Jinkui Liu Li Zheng 
In this paper, a new conjugate gradient formula and its algorithm for solving unconstrained optimization problems are proposed. The given formula satisfies with satisfying the descent condition. Under the Grippo-Lucid...
关键词：UNCONSTRAINED Optimization CONJUGATE GRADIENT Method Grippo-Lucidi Line SEARCH Global CONVERGENCE 
Solving Large Scale Unconstrained Minimization Problems by a New ODE Numerical Integration Method
《Applied Mathematics》2011年第5期527-532,共6页Tianmin Han Xinlong Luo Yuhuan Han 
In reference [1], for large scale nonlinear equations , a new ODE solving method was given. This paper is a continuous work. Here has gradient structure i.e. , is a scalar function. The eigenvalues of the Jacobian of;...
关键词：UNCONSTRAINED MINIMIZATION Problem Gradient EQUATIONS QUADRATIC Model Spectral RADIUS ODE Numerical Integration 
A New Technique for Estimating the Lower Bound of the Trust-Region Subproblem
《Applied Mathematics》2011年第4期424-426,共3页Xinlong Luo 
Trust-region methods are popular for nonlinear optimization problems. How to determine the predicted reduction of the trust-region subproblem is a key issue for trust-region methods. Powell gave an estimation of the l...
关键词：TRUST-REGION METHOD UNCONSTRAINED OPTIMIZATION TRUST-REGION Subproblem 
On the Global Convergence of the PERRY-SHANNO Method for Nonconvex Unconstrained Optimization Problems
《Applied Mathematics》2011年第3期315-320,共6页Linghua Huang Qingjun Wu Gonglin Yuan 
In this paper, we prove the global convergence of the Perry-Shanno’s memoryless quasi-Newton (PSMQN) method with a new inexact line search when applied to nonconvex unconstrained minimization problems. Preliminary nu...
关键词：UNCONSTRAINED OPTIMIZATION NONCONVEX OPTIMIZATION GLOBAL CONVERGENCE 
A Retrospective Filter Trust Region Algorithm for Unconstrained Optimization
《Applied Mathematics》2010年第3期179-188,共10页Yue Lu Zhongwen Chen 
In this paper, we propose a retrospective filter trust region algorithm for unconstrained optimization, which is based on the framework of the retrospective trust region method and associated with the technique of the...
关键词：UNCONSTRAINED Optimization RETROSPECTIVE TRUST Region Method MULTI-DIMENSIONAL FILTER Technique 
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