Matronymic/Patronymic

I've changed the Sargon's name structure to consist of one's mother's surname (a matronymic), a nómen, and one's father's surname (a patronymic). However, I'm currently describing them as matronymic and patronymic cognómina, respectively. Granted, I may be misusing the terms in question, but they're the easiest way to describe something similar to my goal. What how would the Romans have said matronymic and patronymic?
 

AoM

nulli numeri
patronymicus
 
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