Improvements of preconditioned AOR iterative method for L-matrices
نویسندگان
چکیده
منابع مشابه
Improvements of two preconditioned AOR iterative methods for Z-matrices
In this paper, we propose two preconditioned AOR iterative methods to solve systems of linear equations whose coefficient matrices are Z-matrix. These methods can be considered as improvements of two previously presented ones in the literature. Finally some numerical experiments are given to show the effectiveness of the proposed preconditioners.
متن کاملimprovements of two preconditioned aor iterative methods for z-matrices
in this paper, we propose two preconditioned aor iterative methods to solve systems of linear equations whose coefficient matrices are z-matrix. these methods can be considered as improvements of two previously presented ones in the literature. finally some numerical experiments are given to show the effectiveness of the proposed preconditioners.
متن کاملPreconditioned AOR Iterative Method And Comparison Theorems For Irreducible L-matrices
A preconditioned AOR iterative method is proposed with the preconditioner I + S∗ αβ. Some comparison theorems are given when the coefficient matrix of linear system A is an irreducible L−matrix. The convergence rate of AOR iterative method with the preconditioner I + S∗ αβ is faster than the convergence rate with the preconditioner I + Sα by Li et al. Numerical example verifies comparison theor...
متن کاملConvergence Analysis of Some New Preconditioned AOR Iterative Methods for L-matrices
In this paper, we present a new preconditioner which generalizes two known preconditioners proposed by Wang et al. (2009) and A. J. Li (2011), and prove that the convergence rate of the AOR method with the new preconditioner is faster than the preconditioners introduced by Wang et al. Moreover, we propose other two new preconditioners and study the convergence rates of the new preconditioned AO...
متن کاملConvergence Analysis of Preconditioned AOR Iterative Method for Linear Systems
MHmatrices appear in many areas of science and engineering, for example, in the solution of the linear complementarity problem LCP in optimization theory and in the solution of large systems for real-time changes of data in fluid analysis in car industry. Classical stationary iterative methods used for the solution of linear systems have been shown to convergence for this class of matrices. In ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2007
ISSN: 0377-0427
DOI: 10.1016/j.cam.2006.08.019