Matthew was dependent on unknown sources for the names listed in these verses and gives only ten names (Zerubbabel of verse 13 to Jacob of verse 16) for the five-hundred-year period.
Quoted with permission from Newman, Barclay M. and Stine, Philip C. A Handbook on the Gospel of Matthew. (UBS Handbook Series). New York: UBS, 1988. For this and other handbooks for translators see here .