Matronymic
A matronymic is a personal name based on the name of one's mother, grandmother, or any female ancestor. It is the female equivalent of a patronymic. In most societies, matronymic surnames are far less common than patronyms. In the past, matronymic last names were often given to children of unwed mothers. Other times when a woman was especially well known or powerful, her descendants would adopt a matronym based on her name.
Asia
India
The matrilineal communities in South India and Nepal, namely the Bunts and Newars, have family names which are inherited from their mother. Matronymic names are common in Kerala. Daughters take the names of their mothers as the second part of their name.
Indonesia
The Minangkabau of Indonesia are the largest group of people who use this naming system. People of Enggano Island also use a matronymic system. They also have family name/surname (marga).
Mixed use
Philippine names legally have the maiden name of the child's mother as a middle name following Spanish and Portuguese custom (as opposed to Anglo-American use of secondary or tertiary given names). Filipino children born to unwed mothers, if not claimed by the father nor adopted by anyone else, automatically bear their mother's maiden name and sometimes middle name.