Iteraatiomenetelmäksi

Iteraatiomenetelmäksi refers to an iterative method in Finnish. Iterative methods are a class of algorithms that employ a repetitive process to obtain a sequence of approximations that successively approach a desired solution. The core idea is to start with an initial guess and then repeatedly refine it using a specific rule or formula. Each refinement step is called an iteration. The process continues until a predefined stopping criterion is met, such as when the difference between successive approximations is sufficiently small or when a certain number of iterations has been completed. Iterative methods are widely used in various fields of science and engineering, particularly in solving complex mathematical problems that cannot be solved analytically. Examples include finding roots of equations, solving systems of linear and non-linear equations, and performing numerical integration and differentiation. The effectiveness and convergence rate of an iterative method depend on factors such as the nature of the problem, the choice of the initial guess, and the specific algorithm employed.