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解线性方程组的SGAOR方法及其应用
引用本文:曾文平. 解线性方程组的SGAOR方法及其应用[J]. 华侨大学学报(自然科学版), 1995, 16(3): 250-257
作者姓名:曾文平
作者单位:华侨大学管理信息科学系
摘    要:推广GAOR方法的理论并提出解线性方程组的SGAOR方法,这是一个类似于分别从AOR(或SOR)方法导出SAOR(或SSOR0R)的方法,理论与计算结果表明该方法是相当有效的。

关 键 词:线性方程组 GAOR方法 SGAOR方法

Symmetric Generalized Accelerated Overrelaxation as a Method for Solving Linear Equation and Its Application
Zeng Wenping. Symmetric Generalized Accelerated Overrelaxation as a Method for Solving Linear Equation and Its Application[J]. Journal of Huaqiao University(Natural Science), 1995, 16(3): 250-257
Authors:Zeng Wenping
Abstract:For solving large linear equations,the author extends the theory underlying the method of GAOR,i. e.,generalized accelerated overrelaxation and presents a method known as symmetric GAOR. This is done in a way similar to the derivation of SAOR or SSOR method from that of AOR or SOR respectively. The validity of the method of symmetric GAOR is confirmed by theoretical and computational results.
Keywords:linear equation  symmetric generalized accelerated overrelaxation  convergence  
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