Levinson recursion

Okay kiddo, so let me explain Levinson recursion to you.

You know how sometimes we want to do something, but we need to break it down into smaller steps first? Well, Levinson recursion is a way of breaking down a mathematical equation into smaller steps, so we can solve it more easily.

Here's how it works. We start with a big equation, let's call it "Biggie." We want to solve Biggie, but it's too big and complicated to solve all at once. So, we break Biggie down into smaller equations, let's call them "Smallies."

Now, we can't just solve the Smallies on their own, they depend on each other. So, we use Levinson recursion to solve the Smallies one at a time, starting with the smallest one first.

Here's how we do it. We first solve the smallest Smallie, let's call it "Tiny." Once we solve Tiny, we use it to solve the next Smallie, let's call it "Lil." Then, we use Lil to solve the next Smallie, let's call it "Medium." And so on, until we have solved all the Smallies and can use them to solve Biggie.

The reason this works is because each Smallie depends on the one before it, and we solve them in reverse order. So by the time we get to the bigger Smallies, we already have the smaller ones solved and can use them to solve the bigger ones.

And that's Levinson recursion, kiddo. Breaking down a big equation into smaller ones and solving them one at a time using reverse order. Pretty cool, huh?