On the stability of polynomial transformations between Taylor, Bernstein and Hermite forms

DOI10.1007/BF02207698zbMath0869.65030OpenAlexW2063024863MaRDI QIDQ676933

Thomas Hermann

Publication date: 1 September 1997

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02207698

zbMATH Keywords

stabilitylinear transformationcondition numberHermite polynomialBernstein polynomialTaylor polynomialpolynomial transformationsvector space of polynomials

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Linear transformations, semilinear transformations (15A04) Computer-aided design (modeling of curves and surfaces) (65D17)

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Cites Work

• On the numerical condition of polynomials in Bernstein form
• The numerical problem of using Bézier curves and surfaces in the power basis
• On the stability of transformations between power and Bernstein polynomial forms
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