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

• Veröffentlicht in: Український математичний журнал
• Datum: 2015
• 1. Verfasser: Zhou, W.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2015
• Schlagworte: Статті
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/165669
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: A Globally and R-Linearly Convergent Hybrid HS and PRP Method and its Inexact Version with Applications / W. Zhou // Український математичний журнал. — 2015. — Т. 67, № 6. — С. 752–762. — Бібліогр.: 25 назв. — англ.

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. More...