A Globally and $R$-Linearly Convergent Hybrid HS and PRP Method and its Inexact Version with Applications

We present a hybrid HS- and PRP-type conjugate gradient method for smooth optimization that converges globally and $R$-linearly for general functions. We also introduce its inexact version for problems of this kind in which gradients or values of the functions are unknown or difficult to compute. Mo...

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Bibliographic Details
Date:2015
Main Authors: Zhou, Weijun, Жу, Веійун
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2019
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal