A New Class AOR Preconditioner for L-Matrices  

作　　者：Reza BEHZADI 

机构地区：[1]Department of Mathematics, College of Science, Shiraz University

出　　处：《Journal of Mathematical Research with Applications》2019年第1期101-110,共10页数学研究及应用（英文版）

摘　　要：Hadjidimos(1978) proposed a classical accelerated overrelaxation(AOR) iterative method to solve the system of linear equations, and discussed its convergence under the conditions that the coefficient matrices are irreducible diagonal dominant, L-matrices, and consistently orders matrices. Several preconditioned AOR methods have been proposed to solve system of linear equations Ax = b, where A ∈ R^(n×n) is an L-matrix. In this work, we introduce a new class preconditioners for solving linear systems and give a comparison result and some convergence result for this class of preconditioners. Numerical results for corresponding preconditioned GMRES methods are given to illustrate the theoretical results.Hadjidimos(1978) proposed a classical accelerated overrelaxation(AOR) iterative method to solve the system of linear equations, and discussed its convergence under the conditions that the coefficient matrices are irreducible diagonal dominant, L-matrices, and consistently orders matrices. Several preconditioned AOR methods have been proposed to solve system of linear equations Ax = b, where A ∈ R^(n×n) is an L-matrix. In this work, we introduce a new class preconditioners for solving linear systems and give a comparison result and some convergence result for this class of preconditioners. Numerical results for corresponding preconditioned GMRES methods are given to illustrate the theoretical results.

关 键 词：AOR iterative method L-MATRIX IRREDUCIBLE MATRIX spectral RADIUS PRECONDITIONER ITERATION MATRIX 

分 类 号：O1[理学—数学]