Autors: Konstantinov, M. M., Petkov, P. H., Madamlieva, E. B.
Title: Brute Force Computations and Reference Solutions
Keywords: computational algorithms; brute force computations;

Abstract: In this paper, we consider the application of brute force computational techniques (BFCTs) for solving computational problems in mathematical analysis and matrix algebra in a floating-point computing environment. These techniques include, among others, simple matrix computations and the analysis of graphs of functions. Since BFCTs are based on matrix calculations, the program system MATLAB® is suitable for their computer realization. The computations in this paper are completed in double precision floating-point arithmetic, obeying the 2019 IEEE Standard for binary floating-point calculations. One of the aims of this paper is to analyze cases where popular algorithms and software fail to produce correct answers, failing to alert the user. In real-time control applications, this may have catastrophic consequences with heavy material damage and human casualties. It is known, or suspected, that a number of man-made catastrophes such as the Dharhan accident (1991), Ariane 5 launch failure

References

    Issue

    Foundations, vol. 5, issue 1, 2025, Switzerland, https://doi.org/10.3390/foundations5010007

    Вид: статия в списание, публикация в реферирано издание, индексирана в Google Scholar