| 矩阵逆阵的上界及相应扰动方程组的误差估计 |
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| 引用本文： | 陈恒新. 矩阵逆阵的上界及相应扰动方程组的误差估计[J]. 华侨大学学报(自然科学版), 1992, 13(4): 448-453 |
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| 作者姓名： | 陈恒新 |
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| 作者单位： | 华侨大学管理信息科学系 |
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| 摘 要： | 本文证明了一类非对角占优矩阵是可逆的,并给出了其逆阵的上界,以及解相应扰动方程组的误差估计.从而使严格对角占优这一类矩阵的有关结论得到扩充,并成为本文定理的特例.
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| 关 键 词： | 逆矩阵 界 扰动方程 误差估计 |
The Upper Bound of Inverse Matrix and the Error Estimate of Relevant Perturbation Equations |
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| Chen Hengxin. The Upper Bound of Inverse Matrix and the Error Estimate of Relevant Perturbation Equations[J]. Journal of Huaqiao University(Natural Science), 1992, 13(4): 448-453 |
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| Authors: | Chen Hengxin |
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| Affiliation: | Department of Management Information Science |
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| Abstract: | A class of nondiagonally dominant matrices are peoved to be invirtible; the upper bound of their inverse matrices and the error estimate for solving their perturbation equations are given. Thus the conclusion in relation to strictly diagonally dominant matrices can be extended and become a special case in the theorems posed by this paper. |
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| Keywords: | inverse matrices bound perturbation equation error estimate |
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