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Journal of Inequalities and Applications

Table 5 Condition (d)

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

j

2 ψ j ′ ′ ( t ) 2 − ψ j ′ (t) ψ j ( 3 ) (t)

1

2 e 2 +4e( ψ 1 ″ (t)−e)−et ψ 1 ( 3 ) (t)+ e 2 p ( g 1 ( t ) − e ) g 1 2 (t) t − 4 r − 4 y 1 (t), where  y 1 (t)= p 2 r 2 g 1 2 (t)+p r 2 g 1 (t)+ r 2 +r(r+1) t r (p g 1 (t)+1+ t r )

2

2+4( ψ 2 ″ (t)−1)−t ψ 2 ( 3 ) (t)+ e 2 p ( g 2 ( t ) − 1 ) g 2 2 (t) t − 4 r − 4 y 2 (t), where  y 2 (t)= p 2 r 2 g 2 2 (t)+p r 2 g 2 (t)+ r 2 +r(r+1) t r (p g 2 (t)+1+ t r )

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