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Abstract
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Article Information:
A Remark on the Solution Set of Interval Nonlinear Systems of Equations via Markov’s Method
S.E. Uwamusi
Corresponding Author: Stephen Ehidiamhen Uwamusi
Submitted: 2010 April, 09
Accepted: 2010 July, 30
Published: 2010 September, 30 |
Abstract:
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It shown that the operations on the solution set to the parametric interval non linear system of
equations obtained via Markov’s method may not be effective as a standard formula for the solution to algebraic
systems of nonlinear equations even when the system is well conditioned. This was more so since it may
produce sudden negative radius in the solution set and demonstrated by comparing note with the results from
Fast Krawczyk’s type method. It was found that Krawczyk’s method gave quite impressive results where that
of Markov’s method failed.
Key words: Parametric non linear systems, Rump’s mid point - radius coordinates, Newton’s method, krawczyk’s method, validated bounds, ,
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Cite this Reference:
S.E. Uwamusi, . A Remark on the Solution Set of Interval Nonlinear Systems of Equations via Markov’s Method. Research Journal of Mathematics and Statistics, (3): Page No: 97-100.
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ISSN (Online): 2040-7505
ISSN (Print): 2042-2024 |
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