Answer:
Through Agamemnon’s and Amphimedon’s speeches in the Odyssey we can see that the feel ashamed by their dishonorable deaths.
Agamemnon, once king of the whole Greek army, the man who took the sacred city of Troy, was shamefully murdered by his wife for having murdered their daughter, Iphigenia.
Amphimedon, son of Agamemnon's brother, Menelaus, prince of Sparta, also found a dishonorable death. He was trying to court the heroe's wife, Penelope, and spent his days feasting and eating all of Odysseus' estates. He died, along with all other suitors, at the hands of the heroe and his son.
Neither of these two men died in a glorious and beautiful way; they did not die in battle, and they lost all the honour they might have gained in life.