"Analysis on" vs. "analysis of"

Solution 1:

"Of", and I would change the verb as well:

I performed an analysis of the software. (Or an assessment?)

Solution 2:

It is actually unclear to me what you mean.

"I made an analysis of the software" means that the software was the subject of your analysis.

"I made an analysis on the software" is unclear, but might mean that you used the software to perform an analysis of something else.

Solution 3:

"On" is often used in informal language to mean "about", so you can informally listen to or read "analysis on" or "analyse on". The correct proposition here is "of". However, semantic explanations of its use are pointless, because it is not a matter of meaning, whcih can vary depending on (and not "depending of") what is being analysed. It is all about something called collocation.