Quadratic convergence refers to a specific rate at which a sequence approaches a limit, where the error in the approximation decreases quadratically with each iteration. This means that as you get closer to the solution, the number of correct digits roughly doubles with each step, making it significantly faster than linear or sublinear convergence rates. This property is particularly beneficial in root-finding methods and nonlinear optimization techniques, as it allows for quicker and more efficient solutions.
congrats on reading the definition of quadratic convergence. now let's actually learn it.