کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626412 1631786 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new class of nonlinear conjugate gradient coefficients with exact and inexact line searches
ترجمه فارسی عنوان
یک کلاس جدید از ضرایب همبستگی غیر خطی با جستجوهای دقیق و غیر دقیق
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

Conjugate gradient (CG) methods have played an important role in solving large-scale unconstrained optimization. In this paper, we propose a new family of CG coefficients (βk) that possess sufficient descent conditions and global convergence properties. This new βk   is an extension of the already proven βkRMIL from Rivaie et al. [19] (A new class of nonlinear conjugate gradient coefficient with global convergence properties, Appl. Math. Comp. 218(2012) 11323-11332). Global convergence result is established using both exact and inexact line searches. Numerical results show that the performance of the new proposed formula is quite similar to βkRMIL and suited to both line searches. Importantly, the performance of this βk is more efficient and superior than the other well-known βk.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 268, 1 October 2015, Pages 1152–1163
نویسندگان
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