וַיָּ֨קֶם יְהוָ֤ה שָׂטָן֙ לִשְׁלֹמֹ֔ה אֵ֖ת הֲדַ֣ד הָאֲדֹמִ֑י מִזֶּ֧רַע הַמֶּ֛לֶךְ ה֖וּא בֶּאֱדֽוֹם׃
And the LORD raised up an adversary unto Solomon, Hadad the Edomite; he was of the king’s seed in Edom.
Rashi
With the rod of men. This refers to Haddad and Rozon, the son of Elyodoh.9Both were enemies of Shlomo, they are mentioned in Kings I, 11:14 and 23 respectively.
From David to Destruction
Indeed, Radak explains that Hashem motivates Hadad Ha’Edomi and Rezon ben Eliyada to rise up against Shlomo HaMelech (Melachim I 11:14-25) to make him realize that his misguided decision to tolerate his wives’ idolatry has brought ruin to the nation.
Sforno
ונתן מלכיהם בידך והאבדת את שמם, for allowing any of these Canaanites to survive would become an ongoing source of irritation for you, as demonstrated by the young Haddad, sole survivor of the people of Edom, who became a lifelong source of irritation (militarily) for such a powerful king as Solomon. (Kings I 11,14 and onwards)