| 奇异模糊线性系统的扰动分析 |
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| 引用本文： | 田增锋,胡良剑.奇异模糊线性系统的扰动分析[J].模糊系统与数学,2009,23(5). |
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| 作者姓名： | 田增锋 胡良剑 |
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| 作者单位： | 田增锋(浙江万里学院,基础学院,浙江,宁波,315101);胡良剑(东华大学,应用数学系,上海,200051) |
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| 摘 要： | 当模糊线性系统的系数矩阵奇异时, 分析了模糊线性系统的右端向量和系数矩阵的扰动对模糊线性系统解的计算造成的影响,用矩阵的谱范数给出了相对误差的界.
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| 关 键 词： | 模糊线性系统 谱范数 广义逆 扰动分析 |
Perturbation Analysis of Singular Fuzzy Linear Systems |
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| Abstract: | The influence on computational solutions of fuzzy linear systems with singular coefficients matrix caused by slight perturbation of the coefficients and right hand vector is studied.Moreover, the relative error bounds of computational solution of fuzzy linear systems is given by using spectral norm of matrix. |
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| Keywords: | Fuzzy Linear System Spectral Norm of Matrix Generalized Inverse of Matrix Perturbation Analysis |
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