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A New Class AOR Preconditioner for L-Matrices

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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 ∈ Rn×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.
作者 Reza BEHZADI
出处 《数学研究及应用:英文版》 CSCD 2019年第1期101-110,共10页 Journal of Mathematical Research with Applications
作者简介 Reza BEHZADI,E-mail:r.behzadi@shirazu.ac.ir
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