The problem of tightening computable overestimation error bounds arising from the solution of linear interval system of equations by some interval methods is considered
Stephen Ehidiamhen Uwamusi · Scientific Research and Essays · 2011
The problem of tightening computable overestimation error bounds arising from the solution of linear interval system of equations by some interval methods is considered. This study describes the quality of enclosure of these methods with a view of diminishing the overestimation bounds due to excessive use of interval operations. In particular, two different interval multiplication operations are examined and applied on the Krawczyk’s method. It also compare note with results obtained from the well known Hansen-Bliek-Rohn method. It is shown that our results are never worse than the bounds afforded by the Bauer-Skeel and Hansen-Bliek-Rohn bounds. MSC(2000): 65G20, 65G30. Key words: Krawczyk- Rump’s method, Hansen-Bliek- Rohn (H-B-R) method, linear interval systems, overestimation error bounds, circular interval arithmetic.