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Global Error Bounds for the Extended Vertical Linear Complementarity Problems of CKV-Type Matrices and CKV-Type \(B\)-Matrices

  • Lei Gao,
  • Xiudan Jia,
  • Xia Jing,
  • Yi Liu

摘要

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 $B$ -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 $B$ -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.