Bernstein-Bezoutian matrices and curve implicitization
type: Item
instance of: scholarly article
title: Bernstein-Bezoutian matrices and curve implicitization
zbMATH Open document ID: 1117.68077
author: Ana Marco
author: José-Javier Martínez
published in: Theoretical Computer Science
publication date: 2007-06-06T00:00:00Z
Mathematics Subject Classification ID: 68U05
zbMATH DE Number: 5161884
zbMATH Keywords: Bernstein basis
zbMATH Keywords: Bezoutian matrices
zbMATH Keywords: curve
zbMATH Keywords: implicitization
zbMATH Keywords: interpolation
zbMATH Keywords: total positivity
describes a project that uses: mctoolbox
MaRDI profile type: Publication
full work available at URL: j.tcs.2007.02.008
OpenAlex ID: W2065271753
cites work: Backward error analysis of Neville elimination
cites work: Bernstein-Bézoutian matrices
cites work: Q4314299
cites work: Solution of Vandermonde systems of equations
cites work: Shape preserving representations and optimality of the Bernstein basis
cites work: Q3848301
cites work: The Accurate and Efficient Solution of a Totally Positive Generalized Vandermonde Linear System
cites work: Improved algorithms for computing determinants and resultants
cites work: On the stability of transformations between power and Bernstein polynomial forms
cites work: Total positivity and Neville elimination
cites work: A matricial description of Neville elimination with applications to total positivity
cites work: Q5689624
cites work: Accuracy and Stability of Numerical Algorithms
cites work: Q4278198
cites work: Displacement Structure: Theory and Applications
cites work: Using polynomial interpolation for implicitizing algebraic curves
cites work: A fast and accurate algorithm for solving Bernstein-Vandermonde linear systems
cites work: Comparison of interval methods for plotting algebraic curves
cites work: A generalized Kronecker product and linear systems
cites work: Factorizations of Cauchy-Vandermonde matrices
cites work: Q3151311
cites work: Tracing index of rational curve parametrizations
cites work: Optimal properties of the uniform algebraic trigonometric B-splines
DOI: 10.1016/J.TCS.2007.02.008
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description: scientific article; zbMATH DE number 5161884