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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 ...
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...
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...
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...

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