A positive barzilai-borwein-like stepsize and an extension for symmetric linear systems

Yu Hong Dai*, Mehiddin Al-Baali, Xiaoqi Yang

*المؤلف المقابل لهذا العمل

نتاج البحث

22 اقتباسات (Scopus)

ملخص

The Barzilai and Borwein (BB) gradient method has achieved a lot of attention since it performs much more better than the classical steepest descent method. In this paper, we analyze a positive BB-like gradient stepsize and discuss its possible uses. Specifically, we present an analysis of the positive stepsize for two-dimensional strictly convex quadratic functions and prove the R-superlinear convergence under some assumption. Meanwhile, we extend BB-like methods for solving symmetric linear systems and find that a variant of the positive stepsize is very useful in the context. Some useful discussions on the positive stepsize are also given.

اللغة الأصليةEnglish
عنوان منشور المضيفSpringer Proceedings in Mathematics and Statistics
ناشرSpringer New York LLC
الصفحات59-75
عدد الصفحات17
مستوى الصوت134
رقم المعيار الدولي للكتب (المطبوع)9783319176888
المعرِّفات الرقمية للأشياء
حالة النشرPublished - 2015
الحدث3rd International Conference on Numerical Analysis and Optimization: Theory, Methods, Applications and Technology Transfer, NAOIII-2014 - Muscat
المدة: يناير ٥ ٢٠١٤يناير ٩ ٢٠١٤

Other

Other3rd International Conference on Numerical Analysis and Optimization: Theory, Methods, Applications and Technology Transfer, NAOIII-2014
الدولة/الإقليمOman
المدينةMuscat
المدة١/٥/١٤١/٩/١٤

ASJC Scopus subject areas

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