کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4635176 | 1340708 | 2007 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Flexible BiCG and flexible Bi-CGSTAB for nonsymmetric linear systems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Flexible versions of the BiCG and Bi-CGSTAB algorithms are presented which allow for the use of a different preconditioner at each step of the algorithm. In particular, inexact solutions of the preconditioned equations are allowed, as well as the use of some (inner) iterative method as a preconditioner. Flexible BiCG is investigated theoretically, and a theorem is presented comparing the residual norms of Flexible BiCG and Flexible QMR that generalizes a well-known relation between the residual norms of BiCG and QMR. Numerical experiments are conducted for Flexible Bi-CGSTAB for several matrices including some indefinite and highly nonsymmetric matrices. These experiments illustrate the applicability of the flexible method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 188, Issue 1, 1 May 2007, Pages 226-233
Journal: Applied Mathematics and Computation - Volume 188, Issue 1, 1 May 2007, Pages 226-233
نویسندگان
Judith A. Vogel,