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Convergence Properties of the Dependent PRP Conjugate Gradient Methods
Conjugate gradient convergence property
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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 ...
ON THE CONVERGENCE OF CONJUGATEGRADIENT METHODS INVXRIANT TONONLINEAR SCALING
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2007/8/7
In order to construct more efficient methods for unconstrained optimization problems, several authors have considered more general functions than quadratic functionsas a basis for conjugate gradient m...
CONVERGENCE PROPERTIES OF CONJUGATE GRADIENT METHODS WITH STRONG WOLFE LINESEARCH
Conjugate gradient algorithms global co
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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...
A NEW CONJUGATE GRADIENT METHOD AND ITS GLOBAL CONVERGENCE PROPERTIES
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2007/8/7
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...
GLOBAL CONVERGENCE OF UNCONSTRAINED MINIMIZATION METHODS WITH A GENERALIZED BACKTRACKING LINESEARCH PROCEDURE
Backtracking linesearch direction selec
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2007/8/7
This paper presents a generalized backtracking linesearch procedure, which includes the backtracking linesearch and many other linesearches. Under very mild conditions we show the global convergence o...