Okay kiddo, so let me explain to you what a communication-avoiding algorithm means. You know when we play a game and we have to tell each other what we're going to do next, like "I'm going to kick the ball to you"? Well, when computers are working on a big task, they also have to talk to each other and share information. But just like when we play a game, this talking takes time and it can slow things down.
So, a communication-avoiding algorithm is like a special set of instructions for computers to work together efficiently without talking too much. The idea is to set up the instructions in a way that each computer does a lot of work on its own, without needing to ask others for help. This way, they can finish the task faster and with as little talking as possible.
For example, think of a big math problem that needs to be solved. Normally, each computer would work on a little piece of the puzzle and then they would all share their answers with each other. But with a communication-avoiding algorithm, each computer can do more work on its own and only talk to the others when absolutely necessary. This saves a lot of time and makes things run smoother.
So, in short, a communication-avoiding algorithm is a way for computers to work together without talking too much, like when we're playing a game and trying to keep things moving quickly. Got it?