ABSTRACT
In this chapter, we intend to investigate and analyze the important complicated problems and points that occur in numerical calculations or calculations based on the numerical algorithms. As we know, in numerical analysis, most numerical methods are iterative. This means that their formulation is in the form of difference equations. Given that each computational device has its own computational accuracy, it can be said that the zero of each computing device or computer is different from that of another computer, that is, the smallest positive number of one machine is different from that of another machine. Therefore, an algorithm performed in two machines will have different results. But in both cases, there is a computational error that is less in one than the other. Currently, due to the advances in technology and the construction of advanced satellites and long-range air-to-air missiles and missiles with nuclear warheads, an approximate estimate of the target with the lowest error rate and the calculations of missile or satellite launch with the least amount of error is important. This is because the missile is trying to hit a specified target over a distance of, for example, thousands of kilometers, which may also be approximate. Moreover, this chapter discusses the interval error analysis.
