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In complex problems it may, however, be very expensive or infeasible to determine the Hessian matrix A.
This motivates quasi-Newton methods which recursively estimate A of A−1
from the measure...
In this paper,the problem of minimizing a convex function subject to linear constraints is considered.An algorithm which is a combination of DFP variable metric method with generalized gradient projec...
A UNIFIED APPROACH TO THE METHOD OF GRADIENT PROJECTION WITH ARBITRARY INITIAL POINT
Gradient projection method arbitrary ini
2007/12/10
摘要 In this paper, we present a family of gradient projection method with arbitrary initial point. The formula of search direction in the method is unitary. The convergent conditions of the method are ...
摘要 In 1983, Du and Sun gave an algorithm which possesses superiorities of both Rosen's gradient projection method and Wolfe's reduced gradient method. However, in order to have theprovable global conv...
Convergence Properties of the Dependent PRP Conjugate Gradient Methods
Conjugate gradient convergence property
2007/8/7
In this paper, a new region of βk with respect to βkPRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent PRP conjugate gradient ...
Although many effective algorithms of the gradient projection type have been proposed for nonlinear programming with nonlinear constraints (see [1-9]), these algorithms must require a regular assumpti...
CONVERGENCE PROPERTIES OF CONJUGATE GRADIENT METHODS WITH STRONG WOLFE LINESEARCH
Conjugate gradient algorithms global co
2007/8/7
In this paper, we investigate the convergence property of the conjugate gradient algorithms which depend on the search directionsd_1=-g_1, d_{k+1}=-g_{k+1}+\beta_k d_k ,k\geq 1, by using different cho...
This paper presents a new conjugate gradient method for unconstrained optimization. This method reduces to the Polak-Ribiere-Polyak method when line searches are exact. But their performances are diff...
OPTIMAL VALUE FUNCTIONS IN MATHEMATICAL PROGRAMMING AND CONVERGENCE FOR GRADIENT PROJECTION METHOD
optimal value function indicator functi
2007/8/7
In [1] we proved a general result on the directional derivative of optimal value functions in mathematical programming problems. In this paper, we prove, in addition to the general theorem, several ot...
期刊信息
篇名
Investigation of continuous wave near infrared optical tomography based on gradient optimization schemes
语种
英文
撰写或编译
撰写
作者
[1]Zhou Jun,Zhang Yonghong,Bai Jing
第一作者单位
Tsinghua university
刊物名称
J...