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A New Extended PR Conjugate Gradient Method for Solving Smooth Minimization Problems

Abbas Y. AL-Bayati, Rana Z. AL-Kawaz

المجلة العراقية للعلوم الاحصائية · 2011

doi:10.33899/iqjoss.2011.27900 (opens in a new tab)

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Abstract

In this paper, we have discussed and investigated an extended PR-CG method which uses function and gradient values.The new method involves the extended CGmethods and have the sufficient descent and globally convergence properties under certain conditions.We have got some important numerical results by improving a standard computer program compared with Wu and Chen (2010) method in this field. طﺮﯾﻘﺔ PR اﻟﻨﺎﻋﻤﺔ اﻟﺘﺼﻐﯿﺮﯾﺔ اﻟﻤﺴﺎﺋﻞ ﻟﺤﻞ اﻟﻤﺘﺮاﻓﻖ اﻟﺘﺪرج ﻓﻲ اﻟﻤﻮﺳﻌﺔ اﻟﻤﺴﺘﺨﻠﺺ ـﺔ ﯾﻘ ﻟطر ـري ﻧظ ـﺗﻘﺎق اﺷ و ـﺻﻲ ﺗﻘ إﻟﻰ ﺗطرﻗﻧﺎ اﻟﺑﺣث ﻫذا ﻓﻲ PR ـﻌﺔ اﻟﻣوﺳ ـﻲ اﻟﺗ ـﺳﺗﺧدم ﺗ ـﯾم ﻗ ـﺷﺗﻘﺔ ـ ـ اﻟﻣ و ـﺔ ـ ـ اﻟداﻟ . ـﺷﻣل ـ ـ ﺗ ـدة ـ ـ اﻟﺟدﯾ ـﺔ ـ ـ ﯾﻘ اﻟطر ـق ـ ـ اﻓ اﻟﻣﺗر ـدرج ـ ـ اﻟﺗ ـق ـ ـ اﺋ طر ـل ـ ـ ﺣﻘ ـﻊ ـ ـ اﻟﻣوﺳ ـﯾ ـ ـ ﺧﺎﺻ ـك ـ ـ وﺗﻣﺗﻠ ﺗﻲ ـﯾﺔ ـ ـ وﺧﺎﺻ ـﺎد ـ ـ اﻟﺣ ـدار ـ ـ اﻻﻧﺣ ـﺷﺎﻣل ـ ـ اﻟ ـﺎرب

Abstract licence: CC BY

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