COMPUTATIONAL ERRORS
Mihail Konstantinov1, Petko Petkov2
1University of Architecture, Civil Engineering and Geodesy
1046 – Sofia, BULGARIA
2 Technical University of Sofia
1157 – Sofia, BULGARIA

Abstract

Bounds are presented for average rounding errors in double precision binary floating point arithmetic obeying the IEEE Standard [5]. The average errors are up to three times less than the usually used maximal errors and may be more appropriate for practical calculations. For this purpose an alternative representation of machine numbers is proposed. Various numerical computations with unexpectedly large errors are also considered. The computations are done in MATLAB environment [9].

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 1
Year: 2022

DOI: 10.12732/ijam.v35i1.14

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