Eccentric work is a good call for larger tendon bodies (Achilles and petella) however eccentric loading is normally how you tendon is caused. Rather than over use it tends to come from poor activation.
Foam rolling is probably better it will loosen muscles de stressing the tendon. If that does work the tendon can be stimulate with ESWT.
The psoas m is best treated with passive release therapy.
Both areas should be rested and iced.
Muscles bellies will respond to heat although psoas m is going to be hard to get focused heat into.
Hope that helps