The transformation of the companion matrix resultant between the power and Bernstein polynomial bases.

DOI10.1016/S0168-9274(03)00102-8zbMath1039.65035MaRDI QIDQ1419861

Winkler, Joab R.

Publication date: 26 January 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bernstein basisResultantsCompanion matricesLinear transformationPower basis

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04)

Related Items

The Bernstein polynomial basis: a centennial retrospective, A unified approach to resultant matrices for Bernstein basis polynomials, A companion matrix resultant for Bernstein polynomials

Cites Work

• Algebraic geometry and computer vision: Polynomial systems, real and complex roots
• Regularization methods for large-scale problems
• A companion matrix resultant for Bernstein polynomials
• Numerical tools for analysis and solution of Fredholm integral equations of the first kind
• Bidiagonalization of oscillatory matrices^∗
• On the optimal stability of the Bernstein basis
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