کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4603165 | 1336949 | 2006 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A convergence analysis of block accelerated over-relaxation iterative methods for weak block H-matrices to partition π
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
The aim of this paper is to establish the convergence of the block iteration methods such as the block successively accelerated over-relaxation method (BAOR) and the symmetric block successively accelerated over-relaxation method (BSAOR): Let A∈Cπ,nm,m be a weak block H-matrix to partition π , then for 0⩽r⩽ω⩽21+ρ(|BJ(A)|),ρ(BLr,ω)⩽|1-ω|+ωρ(|BJ(A)|),ρ(BSr,ω)⩽[|1-ω|+ωρ(|BJ(A)|)]2,and exact convergence and divergence domains for the block SOR and block SSOR iterative methods are obtained as it has been obtained to H-matrices. Based on these results, the main results in Bai [Parallel Computing 25 (1999)] and Cvetković [Appl. Numer. Math. 41 (2002)] can be improved.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 418, Issue 1, 1 October 2006, Pages 20–32
Journal: Linear Algebra and its Applications - Volume 418, Issue 1, 1 October 2006, Pages 20–32
نویسندگان
Shuhuang Xiang, Shenglei Zhang,