On The Convergence Of The Relaxation Methods For Positive Definite Linear Systems
Zhong-zhi Bai 1, Tin-zhu Huang 21 ICMSEC, Chinese Academy of Sciences, P.O.Box 2719, Beijing 100080, China
2 Department of Applied Mathematics, The University of Electronic Science and Technology of China, Chengdu 610054, China
We establish the convergence theories of the symmetric relaxation methods for the system of linear equations with symmetric positive definite coefficient matrix, and more generally, those of the unsymmetric relaxation methods for the system of linear equations with positive definite matrix.
Key words: System of linear equations; Relaxation method; Convergence theory Positive definite matrix.