A resultant matrix for scaled Bernstein polynomials

DOI10.1016/S0024-3795(00)00189-0zbMath0970.12002MaRDI QIDQ5926399

Winkler, Joab R.

Publication date: 20 August 2001

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Bernstein polynomialsresultant for polynomials

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Polynomials in number theory (11C08) Polynomials in real and complex fields: factorization (12D05) Polynomials in general fields (irreducibility, etc.) (12E05)

Related Items

Scaled generalized Bernstein polynomials and containment regions for the zeros of polynomials, High-order quadrature on multi-component domains implicitly defined by multivariate polynomials, A non-linear structure-preserving matrix method for the computation of the coefficients of an approximate greatest common divisor of two Bernstein polynomials, Bernstein-Bézoutian matrices, Bernstein Bézoutians and application to intersection problems, The Bernstein polynomial basis: a centennial retrospective, Basis-Independent Polynomial Division Algorithm Applied to Division in Lagrange and Bernstein Basis, Block \(\mathbf {LU}\) factors of generalized companion matrix pencils, A companion matrix resultant for Bernstein polynomials

Cites Work

• The Cayley method in computer aided geometric design
• Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves
• On the numerical condition of polynomials in Bernstein form
• Polynomial basis conversion made stable by truncated singular value decomposition
• Tikhonov regularisation in standard form for polynomial basis conversion
• On the stability of transformations between power and Bernstein polynomial forms
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