Knuth's Upgrading Algorithm

Knuth's Upgrading Algorithm is a method for transforming a complex, often recursive, problem-solving process into a more efficient, iterative one. It involves replacing recursive calls with loops and auxiliary data structures, thereby reducing overhead and increasing clarity. This approach systematically "upgrades" the recursive structure by reworking it into a form that’s easier to analyze, optimize, and implement, especially in computer algorithms. The result is typically faster execution and improved manageability, making it a powerful technique for optimizing algorithms that rely on recursion or layered computations.