کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641777 1341319 2009 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Preconditioned GAOR methods for solving weighted linear least squares problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Preconditioned GAOR methods for solving weighted linear least squares problems
چکیده انگلیسی

In this paper, we present the preconditioned generalized accelerated overrelaxation (GAOR) method for solving linear systems based on a class of weighted linear least square problems. Two kinds of preconditioning are proposed, and each one contains three preconditioners. We compare the spectral radii of the iteration matrices of the preconditioned and the original methods. The comparison results show that the convergence rate of the preconditioned GAOR methods is indeed better than the rate of the original method, whenever the original method is convergent. Finally, a numerical example is presented in order to confirm these theoretical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 224, Issue 1, 1 February 2009, Pages 242–249
نویسندگان
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