Accurate evaluation algorithm for bivariate polynomial in Bernstein-Bézier form
type: Item
instance of: scholarly article
title: Accurate evaluation algorithm for bivariate polynomial in Bernstein-Bézier form
zbMATH Open document ID: 1227.65020
author: Hao Jiang
author: Roberto Barrio
author: Xiang-Ke Liao
author: Li-zhi Cheng
published in: Applied Numerical Mathematics
publication date: 2011-10-28T00:00:00Z
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 5965570
zbMATH Keywords: bivariate polynomial
zbMATH Keywords: compensated algorithm
zbMATH Keywords: de Casteljau algorithm
zbMATH Keywords: Bernstein
zbMATH Keywords: Bézier form
zbMATH Keywords: error-free transformation
zbMATH Keywords: round-off error
zbMATH Keywords: computer aided geometric design
zbMATH Keywords: numerical experiments
describes a project that uses: mctoolbox
describes a project that uses: LBNL
describes a project that uses: XBLAS
MaRDI profile type: Publication
full work available at URL: j.apnum.2011.07.009
OpenAlex ID: W2005679388
cites work: A Fortran 90-based multiprecision system
cites work: A floating-point technique for extending the available precision
cites work: Algorithms for accurate, validated and fast polynomial evaluation
cites work: Accuracy and Stability of Numerical Algorithms
cites work: Accurate evaluation of a polynomial and its derivative in Bernstein form
cites work: Q4349924
cites work: A unified approach to evaluation algorithms for multivariate polynomials
cites work: Evaluation algorithms for multivariate polynomials in Bernstein-Bézier form
cites work: Running error analysis of evaluation algorithms for bivariate polynomials in barycentric Bernstein form
cites work: Accurate Sum and Dot Product
cites work: Evaluation and approximate evaluation of the multivariate Bernstein-Bézier form on a regularly partitioned simplex
cites work: Accurate Floating-Point Summation Part I: Faithful Rounding
cites work: Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest
cites work: Efficient evaluation of multivariate polynomials
DOI: 10.1016/J.APNUM.2011.07.009
description: scientific article; zbMATH DE number 5965570