  For linear processes with independent identically distributed innovations
that are regularly varying with tail index $\alpha \in (0, 2)$, we study
functional convergence of the joint partial sum and partial maxima processes.
We derive a functional limit theorem under certain assumptions on the
coefficients of the linear processes which enable the functional convergence to
hold in the space of $\mathbb{R}^{2}$--valued c\`adl\`ag functions on $[0, 1]$
with the Skorohod weak $M_{2}$ topology. Also a joint convergence in the
$M_{2}$ topology on the first coordinate and in the $M_{1}$ topology on the
second coordinate is obtained.
