Can you tell me some training techniques that would allow me to perform as many push ups as possible (80 +/-) in 2 minutes. Would that be eccentric training or power training?
Training any muscle to concentrically contract as many times as possible, when those contractions are at an intensity level that allows for around 20 reps or greater (give or take a few) is a type of strength referred to as "endurance strength." Now I'm not sure what you mean by "eccentric" training, but training for this type of endurance strength would certainly not be considered "power training." When training for power the rationale is to try to encourage "neural adaptations." Basically trying to teach the body to go from eccentric deceleration, to isometric stabilization (amortization), to concentric acceleration in the SHORTEST TIME POSSIBLE. In an endurance based setting, such as the one you're referring to, cellular adaptations are what the focus should be, primarily the increase of mitochondrial density. Primary fuel systems used also differ here, as power training utilizes the ATP/CP systems, and endurance training utilizes the lactic acid system.
As far as useful techniques for training, here are a few acute training variables for endurance training as described by the NASM that you might find useful:
- SETS: 2-3
- REP TEMPO: 3/2/1 (eccentric/isometric/concentric)
- REST INTERVALS: 30-60 seconds
- REPS: 25
- INTENSITY: 50-70%
- VOLUME: 36-75
I would also suggest performing core/shoulder stability exercises as well, such as a push up with rotation, and stability ball push-ups (See PTontheNET.com Library of Exercises for visual examples and descriptions of these). Due to the fact that your core strength endurance will also play a role in your success with the push-up. Likewise, do not forget to train the scapular depressors/retractors, as there must be a "balance of power" from front to back for optimum strength of any kind.