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

H H Shou; R Martin; I Voiculescu; A Bowyer; G J Wang

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

H H Shou, R Martin, I Voiculescu, A Bowyer, G J Wang

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (SciVal)

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
Pages (from-to)	77-81
Number of pages	5
Journal	Progress in Natural Science
Volume	12
Issue number	1
Publication status	Published - 2002

Cite this

@article{36ef06c33a644ba5b04c11dd0997aa92,

title = "Affine arithmetic in matrix form for polynomial evaluation and algebraic curve drawing",

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.",

author = "Shou, {H H} and R Martin and I Voiculescu and A Bowyer and Wang, {G J}",

year = "2002",

language = "English",

volume = "12",

pages = "77--81",

journal = "Progress in Natural Science",

issn = "1002-0071",

publisher = "Chinese Materials Research Society",

number = "1",

}

TY - JOUR

T1 - Affine arithmetic in matrix form for polynomial evaluation and algebraic curve drawing

AU - Shou, H H

AU - Martin, R

AU - Voiculescu, I

AU - Bowyer, A

AU - Wang, G J

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

M3 - Article

VL - 12

SP - 77

EP - 81

JO - Progress in Natural Science

JF - Progress in Natural Science

SN - 1002-0071

IS - 1

ER -

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

Abstract

Fingerprint

Cite this