Title
Running Error Analysis of Evaluation Algorithms for Bivariate Polynomials in Barycentric Bernstein Form
Abstract
Running error analysis for the bivariate de Casteljau algorithm and the VS algorithm is performed. Theoretical results joint with numerical experiments show the better stability properties of the de Casteljau algorithm for the evaluation of bivariate polynomials defined on a triangle in spite of the lower complexity of the VS algorithm. The sharpness of our running error bounds is shown.
Year
DOI
Venue
2006
10.1007/s00607-005-0149-8
Computing
Keywords
DocType
Volume
Evaluation Algorithms,vs algorithm,Error Analysis,error analysis,error bound,roundoff error,running error,bivariate polynomial,better stability property,numerical experiment,Barycentric Bernstein Form,VS algorithm,theoretical result,forward error.,bivariate polynomials defined on a triangle,de casteljau algorithm,Bivariate Polynomials,lower complexity
Journal
77
Issue
ISSN
Citations 
1
1436-5057
3
PageRank 
References 
Authors
0.49
6
2
Name
Order
Citations
PageRank
Esmeralda Mainar115014.27
M. Peña230.49