Sun Hongchun, Sun Min, Wang Yiju
1School of Mathematics and Statistics, Linyi University, Linyi, China.
2School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, China.
J Inequal Appl. 2018;2018(1):258. doi: 10.1186/s13660-018-1847-z. Epub 2018 Sep 24.
For the extended linear complementarity problem (ELCP), by virtue of a new residual function, we establish a new type of global error bound under weaker conditions. Based on this, we respectively obtain new global error bounds for the vertical linear complementarity problem and the mixed linear complementarity problem. The obtained results presented in this paper supplement some recent corresponding results in the sense that they can provide some error bounds for a more general ELCP. Their feasibility is verified by some numerical experiments.
对于扩展线性互补问题（ELCP），借助一个新的残差函数，我们在较弱条件下建立了一种新型的全局误差界。基于此，我们分别得到了垂直线性互补问题和混合线性互补问题的新全局误差界。本文给出的结果补充了一些近期的相应结果，因为它们能为更一般的ELCP提供一些误差界。通过一些数值实验验证了它们的可行性。
