6 But wherefore did he not say, “the Son of Abraham,” and then “the Son of David?” It is not, as some suppose, that he means to proceed upward from the lower point, since then he would have done the same as Luke, but now he does the contrary. Why then has he made mention of David? The man was in the mouths of all, both from his distinction, and from the time, for he had not been so very long since dead, like Abraham. And though God made promises to both, yet the one, as old, was passed over in silence, while the other, as fresh and recent, was repeated of all. Themselves, for instance, say, “Does not Christ come of the seed of David, and out of Bethlehem, the town where David was?” And no man called Him Son of Abraham, but all Son of David; and that because this last was more in the recollection of all, both on account of the time, as I have already said, and because of his royalty. On this principle again all the kings whom they had in honor after his time were named from him, both by the people themselves and by God. For both Ezekiel and other prophets besides speak of David as coming and rising again; not meaning him that was dead, but them who were emulating his virtue. And to Hezekiah He says, “I will defend this city, for my own sake and for my servant David's sake.” And to Solomon too He said, that for David's sake He rent not the kingdom during his lifetime. For great was the glory of the man, both with God and with men.
On account of this he makes the beginning at once from him who was more known, and then runs up to his father; accounting it superfluous, as far as regards the Jews, to carry the genealogy higher up. For these were principally the persons held in admiration; the one as a prophet and a king, the other as a patriarch and a prophet.
Source: Homilies on the Gospel of St. Matthew (New Advent)