کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629547 1340582 2012 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A practical PR+ conjugate gradient method only using gradient
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A practical PR+ conjugate gradient method only using gradient
چکیده انگلیسی

In this paper, we consider the Polak–Ribière (or Polak–Ribière plus) conjugate gradient method for solving optimality condition of an unconstrained minimization problem. We give two new steplength rules only using gradient, and under gradient-Lipschitz assumption prove this method’s global convergence correspondingly. Then, we develop a practical Polak–Ribière plus method whose steplength is located by one inequality only using gradient, and report promising numerical results on high accuracy solution for some standard test problems when compared to the state-of-art methods in this research direction. Importantly, our work provides a new idea of devising a practical version of the celebrated Polak–Ribière (or Polak–Ribière plus) method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 4, 1 November 2012, Pages 2041–2052
نویسندگان
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