For example, I'm currently doing a lot of push-ups, and I need to increase number of push-ups I am able to do in a row (currently, I can do 34 push-ups in a single attempt).
My current routine is simple: 5-7 times a day I do a maximum of push-ups possible (currently that's 33-34), and I do this 7 times a week.
What will be good training regime for it? Should I do several sets in a row (like 3x20) several times a day, or should I just do maximum number of push-ups in one set several times a day? Should I proceed with the routine 7 days a week, or some resting days are required?
EDIT: I discovered hundredpushups.com, and they say there that 3 days a week, 4-5 sets on each day is the best way. How that could be possible? The total number of pushups a week is about 10 times smaller than I currently achieve, yet they advertise quicker improvement?