Running Error Analysis of Evaluation Algorithms for Bivariate Polynomials in Barycentric Bernstein Form |
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| Authors: | E Mainar J M Peña |
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| Affiliation: | (1) Dept. Mathematica, Universidad de Cantabria, Avenida. de los Castros s/n, 39005 Santander, Spain;(2) Universidad de Zaragoza, Pedro Cerbuna 12, 50009 Zaragoza, Spain |
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| 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. |
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| Keywords: | 65G05 65D17 41A10 41A15 |
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