Formation or etymology of Aineias/Aeneas?

Can anyone comment of the underlying forms for the Greek name Î`ἰνείας (Aineias)? What
little I've discovered suggests it's derived from αίνος (ainos) "praise", perhaps with the sense
"praise-worthy", but I don't fully understand how it's put together. I am given to understand
that there is also an o-stem form Î`ἲνειος (Aineios) likewise supposedly from αίνος (ainos),
in which case perhaps we're seeing the IE -jo- suffix for forming genitival adjectives (e.g.
Latin -ius)? Though even then I don't understand the a-stem version. (Possibly due to my
limited knowledge of Greek!).

Cheers,
Carl