| 关于非对角占优矩阵之逆阵上界的估计定理 |
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| 引用本文： | 陈恒新.关于非对角占优矩阵之逆阵上界的估计定理[J].应用数学与计算数学学报,1997,11(2):29-36. |
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| 作者姓名： | 陈恒新 |
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| 作者单位： | 华侨大学数学系 泉州 |
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| 摘 要： | 本文给出一些新的、易于检验的判别定理,能通过简便的方法来判别一类非对角占优矩阵A的可逆性、给出‖A~(-1)‖的上界以及解相应扰动方程组(A δA)(X δx)=b δb的误差估计,具有较好的实用价值。
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| 关 键 词： | 逆矩阵 上界 扰动方程 误差估计 |
The Estimate Theorems of Inverse Matrix Upper Bound about the Nondiagonally Dominant Matrix |
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| HENGXIN CHEN.The Estimate Theorems of Inverse Matrix Upper Bound about the Nondiagonally Dominant Matrix[J].Communication on Applied Mathematics and Computation,1997,11(2):29-36. |
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| Authors: | HENGXIN CHEN |
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| Abstract: | This paper gives some new and easy to test criteria, can discriminate invertibility of A class of nondiagonally dominant matrices, and gives the upper bound of |A-1| and the error estimate of solving relevant perturbation equations (A A)(x 6x) = b b by simple and convenient method. Consequently, it has a pood practical value. |
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| Keywords: | inverse matrix upper bound perturbation equation error estimate |
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