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

期刊名字：自然科學(xué)進(jìn)展
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論文作者：SHOU Huahao，Ralph MARTIN，Irina
作者單位：Department of Mathematics,Department of Computer Science,Computing Laboratory,Department of Mechanical Engineering
更新時(shí)間：2023-04-17
下載次數(shù)：次

論文簡(jiǎn)介

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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