Can you die of a broken heart?

The recent deaths at the end of 2016 (a year that seems to have taken its share of well-known people from this world) of actresses Carrie Fisher, and a day later her mother Debbie Reynolds, made me recall the deaths of my own parents, who died nine months apart in 2009 (my mother in March, my father in December). It begs a question for me: can someone die of a broken heart? I’ve seen some anecdotal evidence that the death of a spouse/partner or other close person can have an effect on the health of the survivor.