Convergence of GAOR method for doubly diagonally dominant matrices

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摘要

In this paper, we obtain bounds for the spectral radius of the matrix lω,r which is the iterative matrix of the generalized accelerated overrelaxation (GAOR) iterative method. Moreover, we present one convergence theorem of the GAOR method. Finally, we present two numerical examples.

论文关键词:GAOR method,Spectral radius,Convergence,Strictly doubly diagonally dominant matrix,Iterative matrix

论文评审过程:Available online 21 February 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.02.058