Abstract
In this report, an approach to organization of calculations in algorithms for solving systems of interval linear equations based on the “interval extended zero” is proposed.This approach provides narrowest possible interval results. The “interval extended zero” method was used earlier to solve systems of interval linear equations.It was shown that it considerably reduces the undesirable excess width effect. However, successive research have shown that different interval results may be obtained, if some calculations are organized differently. It is also shown that the interval multiplication operation affects the width of the resulting intervals in a similar extent as interval division.
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Dymova, L., Pilarek, M. (2012). Organizing Calculations in Algorithms for Solving Systems of Interval Linear Equations Using the “Interval Extended Zero” Method. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2011. Lecture Notes in Computer Science, vol 7204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31500-8_45
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DOI: https://doi.org/10.1007/978-3-642-31500-8_45
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