improvements of two preconditioned aor iterative methods for z-matrices

Authors

mohsen hasani

davod khojasteh salkuyeh

abstract

‎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.‎

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

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.‎

full text

Convergence 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...

full text

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...

full text

Preconditioned Mixed-Type Splitting Iterative Method For Z-Matrices

In this paper, we present the preconditioned mixed-type splitting iterative method for solving the linear systems, Ax = b, where A is a Z-matrix. And we give some comparison theorems to show that the convergence rate of the preconditioned mixed-type splitting iterative method is faster than that of the mixed-type splitting iterative method. Finally, we give a numerical example to illustrate our...

full text

Preconditioned Gauss-seidel Iterative Method for Z-matrices Linear Systems

For Ax = b, it has recently been reported that the convergence of the preconditioned Gauss-Seidel iterative method which uses a matrix of the type P = I + S (α) to perform certain elementary row operations on is faster than the basic Gauss-Seidel method. In this paper, we discuss the adaptive Gauss-Seidel iterative method which uses P = I + S (α) + K̄ (β) as a preconditioner. We present some com...

full text

Convergence 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 ...

full text

My Resources

Save resource for easier access later


Journal title:
bulletin of the iranian mathematical society

Publisher: iranian mathematical society (ims)

ISSN 1017-060X

volume 40

issue 2 2014

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023