iterált

Iterált refers to a process that is repeated multiple times. In many fields, an iterative process involves applying a series of steps or operations repeatedly until a desired outcome is achieved or a specific condition is met. This approach is common in mathematics, computer science, and engineering.

In mathematics, iteration is fundamental to numerical methods. For example, iterative algorithms are used to approximate solutions to equations that cannot be solved analytically. By starting with an initial guess and repeatedly applying a formula, the approximation gets progressively closer to the true solution. This is seen in methods like the Newton-Raphson method for finding roots of functions.

In computer science, iteration is a core concept in programming. Loops, such as `for` loops and `while` loops, are constructs that allow code to be executed repeatedly. This is essential for tasks like processing data in collections, performing calculations that require multiple steps, or searching for specific items. An iterative algorithm in computer science breaks down a complex problem into smaller, repeatable steps.

The concept of iteration also appears in machine learning, where algorithms are trained by repeatedly adjusting model parameters based on the errors observed in previous iterations. This refinement process allows the model to learn from data and improve its predictive accuracy over time. The term "iterated" or "iterative" highlights the repetitive nature of these computational and mathematical procedures.