  We study the parameter dependence of complex geodesics with prescribed
boundary value and direction on bounded strongly linearly convex domains.As an
important application, we present a quantitative relationship between the
regularity of the pluricomplex Poisson kernel of such a domain, which is a
solution to a homogeneous complex Monge-Amp\`{e}re equation with boundary
singularity, and that of the boundary of the domain. Our results improve
considerably previous ones in this direction due to Chang-Hu-Lee and
Bracci-Patrizio.
