Jatkolaskenta

Jatkolaskenta, often translated as "continuation calculation" or "iterative calculation," is a method used in various fields, particularly in mathematics and computer science, to refine an approximate solution through repeated application of a formula or algorithm. The core principle involves starting with an initial guess and then using a defined process to generate a new, hopefully improved, guess. This new guess is then fed back into the same process, creating a sequence of approximations that ideally converge to a true or desired value.

The process is iterative, meaning it repeats itself. Each iteration takes the result of the previous one as its input. This repetition continues until a certain condition is met, such as the difference between successive approximations becoming very small, indicating that the solution has stabilized, or a predetermined number of iterations has been completed. Jatkolaskenta is fundamental to solving equations that cannot be solved analytically, finding roots of functions, approximating integrals, and in numerical simulations. Common examples include the Newton-Raphson method for finding roots and iterative methods for solving systems of linear equations. The efficiency and convergence of jatkolaskenta depend heavily on the initial guess and the nature of the problem and the algorithm used.