Preconditioned AOR Iterative Method And Comparison Theorems 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
Improving AOR Iterative Methods 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 کاملComparison results on the preconditioned mixed-type splitting iterative method for M-matrix linear systems
Consider the linear system Ax=b where the coefficient matrix A is an M-matrix. In the present work, it is proved that the rate of convergence of the Gauss-Seidel method is faster than the mixed-type splitting and AOR (SOR) iterative methods for solving M-matrix linear systems. Furthermore, we improve the rate of convergence of the mixed-type splitting iterative method by applying a preconditio...
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 کاملSome comparison results with new effective preconditioners for L-matrices
Based on the work of Wang and Li [A new preconditioned AOR iterative method for L-matrices, J. Comput. Appl. Math. 229 (2009) 47-53], in this paper, a new preconditioner for the AOR method is proposed for solving linear systems whose coefficient matrix is an L-matrix. Several comparison theorems are shown for the proposed method with two preconditioners. It follows from the comparison results t...
متن کامل