As an adjective patronymic
is derived from ancestors; as, a patronymic denomination.
As a noun patronymic
is name acquired from one's father's, grandfather's or earlier male ancestor's first name. Some cultures use a patronymic where other cultures use a surname or family name; other cultures (like Russia) use both a patronymic and a surname.
As a proper noun Ivanovna is
A transliteration of a Russian patronymic, meaning "daughter of Ivan".