کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1707768 1519469 2015 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A single-step HSS method for non-Hermitian positive definite linear systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
A single-step HSS method for non-Hermitian positive definite linear systems
چکیده انگلیسی

In this paper, based on the Hermitian and skew-Hermitian splitting (HSS) iteration method, a single-step HSS (SHSS) iteration method is introduced to solve the non-Hermitian positive definite linear systems. Theoretical analysis shows that, under a loose restriction on the iteration parameter, the SHSS method is convergent to the unique solution of the linear system. Furthermore, we derive an upper bound for the spectral radius of the SHSS iteration matrix, and the quasi-optimal parameter is obtained to minimize the above upper bound. Numerical experiments are reported to the efficiency of the SHSS method; numerical comparisons show that the proposed SHSS method is superior to the HSS method under certain conditions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 44, June 2015, Pages 26–29
نویسندگان
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