Brent's method

Brent's method is an algorithm used to find the minimum point of a function—that is, where the function's value is lowest—without needing to know its derivative. It cleverly combines two techniques: a rapid, precise method that requires derivative information, and a more robust but slower method that doesn’t. By switching between these approaches, Brent's method efficiently hones in on the minimum, ensuring both speed and reliability, even when the function's behavior is complex or not smooth. It's widely used in mathematical computing for optimization tasks.