Anderson acceleration

Anderson acceleration is a clever technique used in math and science to speed up the convergence of iterative algorithms.

Imagine you are trying to solve a big math problem with lots of steps. Each step of the process gets you closer and closer to the right answer. But sometimes, it takes a really long time to get to the final answer using this method.

This is where Anderson acceleration comes in. It is like having a friend help you with the problem. Instead of just doing the steps one by one, you and your friend can work together to solve the problem.

In math terms, Anderson acceleration allows us to use the previous values in the iterative process to approximate the next step. This helps us reach the solution more quickly and accurately.

Think of it this way: if you were counting by twos (2, 4, 6, 8, 10, ...) and you knew the last three numbers in the sequence (6, 8, 10), you could use that information to estimate the next number (12) more quickly than starting from scratch.

Overall, Anderson acceleration is a cool tool that helps us solve problems more efficiently and accurately by incorporating previous solutions into the iterative process.