CKV-type $ B $-matrices and error bounds for linear complementarity problems
Xinnian Song, Lei Gao · AIMS Mathematics · 2021
In this paper, we introduce a new subclass of $ P $-matrices called Cvetković-Kostić-Varga type $ B $-matrices (CKV-type $ B $-matrices), which contains DZ-type-$ B $-matrices as a special case, and present an infinity norm bound for the inverse of CKV-type $ B $-matrices. Based on this bound, we also give an error bound for linear complementarity problems of CKV-type $ B $-matrices. It is proved that the new error bound is better than that provided by Li et al. [ 24 ] for DZ-type-$ B $-matrices, and than that provided by M. García-Esnaola and J.M. Peña [ 10 ] for $ B $-matrices in some cases. Numerical examples demonstrate the effectiveness of the obtained results.