کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627112 1631800 2015 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On parameterized generalized skew-Hermitian triangular splitting iteration method for singular and nonsingular saddle point problems
ترجمه فارسی عنوان
در روش تکرار تقسیم مثلثی برش پارامتریک ماتریس-هرمیتی برای مشکلات نقطه ی ساحلی منحصر به فرد و غیرواقعی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
Recently, Krukier et al. (2014) and Dou et al. (2014) have studied the generalized skew-Hermitian triangular splitting (GSTS) iteration method for nonsingular and singular saddle point problems, respectively. In this paper, we further extend the GSTS method to a parameterized GSTS (PGSTS) method for solving non-Hermitian nonsingular and singular saddle point problems. By singular value decomposition technique, we derive conditions of the new iterative method for guaranteeing the convergence for non-Hermitian nonsingular saddle point problems and its semi-convergence for singular saddle point problems, respectively. In addition, the choice of the acceleration parameters in a practical manner is studied. Numerical experiments are provided, which further confirm our theoretical results and show the new method is feasible and effective for non-Hermitian nonsingular or singular saddle point problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 254, 1 March 2015, Pages 340-359
نویسندگان
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