کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4635220 | 1340708 | 2007 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Gauss type preconditioning techniques for linear systems
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Many researchers have considered preconditioners chosen to eliminate the off-diagonal elements of the coefficient matrix of a linear system. In this work, we generalize the left Gauss type preconditioners [Y. Zhang, T.Z. Huang, X.P. Liu, Modified iterative methods for nonnegative matrices and M-matrices linear systems, Comput. Math. Appl. 50 (2005) 1587-1602] which eliminate the strictly lower triangular elements. Right Gauss type preconditioners that eliminate strictly upper triangular elements are proposed in this paper. These Gauss type preconditioners are partly derived from the LU factorization method. Theoretic analysis on spectral radii of the two kinds of Gauss type preconditioners is given. Numerical experiments are used to show the performance of the improved inbuilt left and right Gauss type preconditioning algorithms associated with Jacobi type and Gauss-Seidel type iterative methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 188, Issue 1, 1 May 2007, Pages 612-633
Journal: Applied Mathematics and Computation - Volume 188, Issue 1, 1 May 2007, Pages 612-633
نویسندگان
Yong Zhang, Ting-Zhu Huang, Xing-Ping Liu,