Definition 3.85 . [02NB]

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Definition 3.85.

Let $\Lambda$ be a polyhedron in $N_{\mathbb{R}}$ and $f\in{\overline{\mathscr{D}}}(\Lambda)$ . The recession function of $f$ is defined as

(3.86)

\operatorname{rec}(f)\colon\operatorname{rec}(\Lambda)\longrightarrow\mathbb{R},\quad u\longmapsto\lim_{\lambda\to\infty}\frac{f(v_{0}+\lambda u)-f(v_{0})}{\lambda}

for any $v_{0}\in\Lambda$ .