Acta Applicandae Mathematicae ( IF 1.6 ) Pub Date : 2024-03-28 , DOI: 10.1007/s10440-024-00644-3 Lei Gao , Xiudan Jia , Xia Jing , Yi Liu
Some global error bounds with undetermined parameters, which are not always valid, for the extended vertical linear complementarity problems (LCP) of CKV-type matrices and CKV-type \(B\)-matrices, are presented by Yan and Wang (Jpn. J. Ind. Appl. Math. 41:129–150, 2024). In this paper, new global error bounds for the extended vertical LCP of CKV-type matrices and CKV-type \(B\)-matrices are given, which depend only on the entries of the involved matrices. Numerical examples show that the new bounds are better than those provided in Zhang et al. (Comput. Optim. Appl. 42(3):335–352, 2009) and Wang et al. (Comput. Appl. Math. 40:148, 2021) in some cases.
中文翻译:
CKV型矩阵和CKV型$B$矩阵的扩展垂直线性互补问题的全局误差界
Yan 和 Wang ( Jpn . J. Ind. Appl. Math. 41:129–150, 2024)。本文给出了CKV型矩阵和CKV型\(B\)矩阵的扩展垂直LCP的新全局误差界,该误差界仅取决于所涉及矩阵的条目。数值例子表明,新的界限比Zhang等人提供的更好。 (Comput. Optim. Appl. 42(3):335–352, 2009)和 Wang 等人。 (Comput. Appl. Math. 40:148, 2021) 在某些情况下。