  A new error bound for the linear complementarity problem when the matrix
involved is a B-matrix is presented, which improves the corresponding result in
[C.Q. Li et al., A new error bound for linear complementarity problems for
B-matrices. Electron. J. Linear Al., 31:476-484, 2016]. In addition some
sufficient conditions such that the new bound is sharper than that in [M.
Garca-Esnaola and J.M. Pena. Error bounds for linear complementarity problems
for B-matrices. Appl. Math. Lett., 22:1071-1075, 2009] are provided.
