Schur complement-based error bounds for linear complementarity problems of BRπ-matrices
Lei Gao, Qilong Liu · Filomat · 2025
An error bound for BR?-matrices linear complementarity problems (LCPs) is given by Garc?a- Esnaola and Pe?a in the paper (Calcolo, 54(3), 813-822, 2017). However, this bound is not effective for BR?-matrices with a non-positive vector ?. In this paper, based on the Schur complement, some error bounds involving a parameter for LCPs of BR?-matrices with a non-positive vector ? are presented, and the optimal values of these error bounds are also determined. Numerical examples are performed to illustrate the effectiveness of the obtained bounds.