کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603095 1631173 2008 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence conditions for splitting iteration methods for non-Hermitian linear systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Convergence conditions for splitting iteration methods for non-Hermitian linear systems
چکیده انگلیسی

Necessary and sufficient convergence conditions are studied for splitting iteration methods for non-Hermitian system of linear equations when the coefficient matrix is nonsingular. When this theory is specialized to the generalized saddle-point problem, we obtain convergence theorem for a class of modified accelerated overrelaxation iteration methods, which include the Uzawa and the inexact Uzawa methods as special cases. Moreover, we apply this theory to the two-stage iteration methods for non-Hermitian positive definite linear systems, and obtain sufficient conditions for guaranteeing the convergence of these methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issues 2–3, 15 January 2008, Pages 453-468