A Modified Conjugate Gradient Method using multi-step in Unconstrained Optimization

In this paper we proposed a new HS type conjugate gradient method by using two kind of modification, first derived a new non-quadratic model second using structure of the memoryless BFGS quasi-Newton method. The new proposed method always generates a descent condition. We give a sufficient condition...

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Bibliographic Details
Format: Article
Language:Arabic
Published: College of Computer Science and Mathematics, University of Mosul 2011-12-01
Series:المجلة العراقية للعلوم الاحصائية
Online Access:https://stats.mosuljournals.com/article_27917_83cb3c3bb059b1ebdc78754563eb6765.pdf
Description
Summary:In this paper we proposed a new HS type conjugate gradient method by using two kind of modification, first derived a new non-quadratic model second using structure of the memoryless BFGS quasi-Newton method. The new proposed method always generates a descent condition. We give a sufficient condition for the global converges of the proposed general method. Finally, some numerical results are also reported.
ISSN:1680-855X
2664-2956