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.

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