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Affine arithmetic in matrix form for polynomial evaluation and algebraic curve drawing


Reference:

Shou, H. H., Martin, R., Voiculescu, I., Bowyer, A. and Wang, G. J., 2002. Affine arithmetic in matrix form for polynomial evaluation and algebraic curve drawing. Progress in Natural Science, 12 (1), pp. 77-81.

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Abstract

This paper shows how tight bounds for the range of a bivariate polynomial can be found using a matrix method based on affine arithmetic. Then, this method is applied to drawing an algebraic curve with a hierarchical algorithm, which demonstrates that more accurate answers can be obtained more rapidly than using conventional interval arithmetic.

Details

Item Type Articles
CreatorsShou, H. H., Martin, R., Voiculescu, I., Bowyer, A. and Wang, G. J.
DepartmentsFaculty of Engineering & Design > Mechanical Engineering
RefereedYes
StatusPublished
ID Code2602

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