### 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.

Original language | English |
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Pages (from-to) | 77-81 |

Number of pages | 5 |

Journal | Progress in Natural Science |

Volume | 12 |

Issue number | 1 |

Publication status | Published - 2002 |

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## Cite this

Shou, H. H., Martin, R., Voiculescu, I., Bowyer, A., & Wang, G. J. (2002). Affine arithmetic in matrix form for polynomial evaluation and algebraic curve drawing.

*Progress in Natural Science*,*12*(1), 77-81.