Picard iteration

Imagine you have a big puzzle with lots of pieces. You want to put them in the right order and make a pretty picture. But, there are some pieces that you can't figure out where they go.

Now, you start with the easiest pieces and put them together. Then, you go back to the harder pieces and try again. But, every time you go back to the harder pieces, you have a better idea of where they might go based on the other pieces you've put in place.

This idea of going back and trying again, but with better information each time is what Picard iteration is all about.

In more technical terms, Picard iteration is a method used in mathematics and computer science to solve complex equations that can't be solved all at once. It involves breaking the equation down into smaller, easier parts and solving those parts little by little. Each time you solve a part, you use that information to get a better idea of how to solve the next part.

Just like with the puzzle, you keep going back and refining your solutions until you have a complete picture of the equation and all its parts.