Complex training is a type of resistance training where you first perform a heavy lift, then do a similar plyometric move. For example, you do 3-4 reps of bench press at 80-90% of your max, then do plyometric push-ups ( or clap push-ups). Or, do squats at 80-90% of your max, then do plyometric jumps.
Here is an article reviewing some of the research on complex training:
http://www.jssm.org/vol1/n2/2/v2_2pdf.pdf
This type of training is advanced and should only be done by those experienced in strength training and already in great shape. The research shows that it is only effective for those who have already developed their strength a great deal.
It is a good technique for improving both strength and power simultaneously. Some experts recommend first developing strength, then developing power. Others recommend training for strength and power simultaneously, but on different days. Complex training is aimed at developing both at the same time, however it is important that you first train for strength before attempting complex training.
Some of the internet videos show the athlete doing the heavy lift, then moving directly to the plyometric move. The research does not support this and instead indicates that a substantial rest period is beneficial between the heavy lift and the power move.
There is some research to support complex training among athletes who are already very strong. Perhaps it's a technique that will help break through plateaus. If you already have a good base of strength training and are looking to develop your power, it is well worth trying. Here is a link to an article about complex training:
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