Improving AOR Iterative Methods For Irreducible L-matrices
نویسنده
چکیده
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 theorems.
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 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 کاملA New Preconditioned AOR Iterative Method and Comparison Theorems for Linear Systems
In this paper, a new preconditioned AOR iterative method is proposed with the preconditioner I + Sα. Some comparison theorems are given when the coefficient matrix A of linear system is an irreducible L− matrix. Numerical example shows that our methods are superior to the basic AOR iterative method.
متن کاملOn the modification of the preconditioned AOR iterative method for linear system
In this paper, we will present a modification of the preconditioned AOR-type method for solving the linear system. A theorem is given to show the convergence rate of modification of the preconditioned AOR methods that can be enlarged than the convergence AOR method.
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 کامل