These to scripts monitor the tex-File you're editing and compile it (and tell mupdf to reload) when you made changes. Just start mupdf with "mupdf-latex-launch file.tex" and start working on your masterpiece.

latex-mupdf-update

#!/bin/bash
# Licensed under GPL <http://www.gnu.org/licenses/>.
# Slightly edited version of the live-latex-update.sh from vim-live-latex-preview
# <https://aur.archlinux.org/packages/vim-live-latex-preview/>

file="$1"
mupid=$(cat /tmp/llmupdf.pid)
windowid=$(xdotool search --pid $mupid --class MuPDF | head -n1)
logfile="${file%.tex}.log"
auxfile="${file%.tex}.aux"
if head -n 5 "$file" | grep -i -q 'xelatex' > /dev/null 2>&1 ; then
    execprog="xelatex"
    echo "XeLaTeX document detected."
else
    execprog="pdflatex" 
    echo "Using PDFLaTeX."
fi 
if ${execprog} -interaction=nonstopmode -halt-on-error -file-line-error -synctex=1 "$file"  ; then
   if cat "$logfile" | grep -i -q "undefined citations\|undefined references" > /dev/null 2>&1 ; then
      if bibtex "$auxfile"  ; then
           if ! ${execprog} -interaction=nonstopmode -halt-on-error -file-line-error -synctex=1 "$file" ; then
                echo -n "failure" > "$HOME/.config/live-latex-preview/lastresult" 2>/dev/null
                echo
                echo "failure"
                exit 1
           fi
      else 
            echo -n "bibfail" > "$HOME/.config/live-latex-preview/lastresult" 2>/dev/null
            echo
            echo "bibfail"
            exit 2
      fi
   fi
   if cat "$logfile" | grep -i -q 'rerun to get' > /dev/null 2>&1 ; then
           if ! ${execprog} -interaction=nonstopmode -halt-on-error -file-line-error -synctex=1 "$file" ; then
              echo -n "failure" > "$HOME/.config/live-latex-preview/lastresult" 2>/dev/null
              echo
              echo "failure"
              exit 1
           fi
   fi
   if [[ $windowid != "999999" ]] ; then
       echo "Updating MuPDF window."
       xdotool key --window $windowid r &> /dev/null
   fi
   echo -n "success" > "$HOME/.config/live-latex-preview/lastresult" 2>/dev/null
   echo
   echo "success"
else
   echo -n "failure" > "$HOME/.config/live-latex-preview/lastresult" 2>/dev/null
   echo
   echo "failure"
   exit 1
fi
exit 0

mupdf-latex-launch

#!/bin/bash
# This script is beerware. HF

update="latex-mupdf-update"
texfile=$(basename "$1")
opwd=$PWD
cd "$(dirname "$1")"
# Initial compilation
$update $texfile
# Start mupdf
mupdf "${texfile%.tex}.pdf" &>/dev/null &
mupid="$!"
echo $mupid>/tmp/llmupdf.pid
# Get inputfiles so we can check if they've been edited
inputs(){
    grep "\\input" $1 | sed 's/^.*\\input{\(.\+\)}.*$/\1.tex/g'
}
while test -d /proc/$mupid; do
    # Wait for changes and update
    inotifywait -e modify,move_self $texfile $(inputs $texfile) -t 5 2>/dev/null && $update "$texfile"
done
echo "MuPDF was closed."
cd "$opwd"