Remigius of Auxerre
Catena Aurea · Matthäusevangelium 1
6–8. David the king begat Solomon of her that had been the wife of Urias; and Solomon begat Roboam; and Roboam begat Abia; and Abia begat Asa; and Asa begat Josaphat. The Evangelist has now finished the first fourteen generations, and is come to the second, which consists of royal personages, and therefore beginning with David, who was the first king in the tribe of Judah, he calls him David the king.
Let us enquire why Matthew does not mention Bathsheba by name as he does the other women. Because the others, though deserving of much blame, were yet commendable for many virtues. But Bathsheba was not only consenting in the adultery, but in the murder of her husband, hence her name is not introduced in the Lord’s genealogy.