Kernel function based interior-point methods for horizontal linear complementarity problems

Journal of Inequalities and Applications

Table 1 Kernel functions

j	kernel functions $ψ_{j} (t)$
1	$\frac{e (t^{2} - 1)}{2} + \frac{e^{p (g_{1} (t) - e)} - 1}{p r}$ , $g_{1} (t) = e^{t^{- r}}$ , p ≥ 1, r ≥ 1
2	$\frac{t^{2} - 1}{2} + \frac{e^{p (g_{2} (t) - 1)} - 1}{p r}$ , $g_{2} (t) = e^{t^{- r} - 1}$ , p ≥ 1, r ≥ 1