用模糊逻辑近似求解线性方程组的准确率

Q4 Mathematics
Awni M. Abu-Saman
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引用次数: 0

摘要

本文提出了一种确定求解线性方程组Ax=b的数值方法的正确率的数值方法。该方法的思想依赖于条件数和奇异率的模糊值而不是清晰值。该程序将在数学代码MATLAB及其Simulink特性上实现。最后通过一个算例说明了该方法的适用性和有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Using fuzzy logic to approximate the accuracy rate in solving a system of linear equations
This paper proposes a numerical procedure for determining rate of accuracy of the numerical method used for solving a system of linear equations Ax=b. The idea of the method depends on the fuzzy value of the condition number and singularity rate instead of the crisp values. The procedure will be implemented on the mathematical code MATLAB and it’s Simulink features. Finally the applicability and efficiency of the procedure is illustrated by a numerical example.
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