Interval Analysis of Navigational Problems / Analiza Przedzia?owa Zadań Nawigacyjnych

摘要

Algorithms of solutions to navigational problems usually comprise elements for numerical calculations. Apart from random errors, numerical errors of varying nature can be found in them. These errors are due to the level of precision of input data, the approximability of computing methods and errors generated by the computing very process itself in a computer. The latter category includes numerical precision (floating point of a numerical notation) and rounding off of numbers. These errors are analyzed as absolute and relative errors, rounding off errors and are regarded as random errors with a triangular distribution. Over the last decade or more the interval analysis of rounding off errors has been dynamically developing. Despite increased computing effort (costs), in some cases such analysis is necessary, particularly when we want to get a result of specific precision. It can be extended as an analysis of random errors with uniform distribution.