| Nekrasov矩阵线性互补问题误差界的进一步研究 |
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| 引用本文： | 李艳艳. Nekrasov矩阵线性互补问题误差界的进一步研究[J]. 大连民族学院学报, 2020, 21(5): 445-448 |
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| 作者姓名： | 李艳艳 |
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| 作者单位： | 文山学院 数学学院,云南 文山 663099 |
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| 基金项目： | 云南省教育厅科学研究基金项目(2018JS491)。 |
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| 摘 要： | 研究Nekrasov矩阵线性互补问题的误差界,利用Nekrasov矩阵逆的无穷范数上界的估计式,结合主对角元素为正的Nekrasov矩阵的性质和若干不等式性质,给出该矩阵线性互补问题误差界的一些新估计式。数值算例表明了结果的可行性和优越性。
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| 关 键 词： | 线性互补问题 误差界 Nekrasov矩阵 |
Further Study on the Error Bounds for Linear Complementarity Problems of Nekrasov Matrix |
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| LI Yan-yan. Further Study on the Error Bounds for Linear Complementarity Problems of Nekrasov Matrix[J]. Journal of Dalian Nationalities University, 2020, 21(5): 445-448 |
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| Authors: | LI Yan-yan |
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| Affiliation: | School of Mathematics, Wenshan University, Wenshan Yunnan 663099, China |
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| Abstract: | The error bounds for linear complementarity problems of Nekrasov matrix are studied. By using the estimation formula of the infinite norm upper bound of the inverse of the Nekrasov matrix, and combining the properties of the Nekrasov matrix with positive diagonal elements and some inequalities, some new estimators for the error bounds of the linear complementarity problems of the matrix are given. The numerical example shows the feasibility and superiority of the results. |
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| Keywords: | linear complementarity error bounds Nekrasov matrix |
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