B-splines and optimal stability

DOI10.1090/S0025-5718-97-00897-1zbMath0890.65011OpenAlexW2015925977MaRDI QIDQ4372658

Juan Manuel Peña

Publication date: 16 December 1997

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-97-00897-1

zbMATH Keywords

condition numbernonnegative matricesBernstein basispartial orderingB-spline basisoptimal stability

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items

Differential Expression and Network Inferences through Functional Data Modeling, Richardson method and totally nonnegative linear systems, Hypothesis testing for regional quantiles, On the accuracy of de Casteljau-type algorithms and Bernstein representations, Optimal stability of the Lagrange formula and conditioning of the Newton formula, The Bernstein polynomial basis: a centennial retrospective, Unnamed Item, Accurate Computations and Applications of Some Classes of Matrices, Modeling Criminal Careers as Departures From a Unimodal Population Age–Crime Curve: The Case of Marijuana Use, A note on the optimal stability of bases of univariate functions, On the generalized Ball bases, On the foundation of bases of spline spaces, Evaluation of the derivative of a polynomial in Bernstein form, Corner cutting systems

Cites Work

• Unnamed Item
• Unnamed Item
• On the numerical condition of polynomials in Bernstein form
• The exact condition of the B-spline basis may be hard to determine
• Least supported bases and local linear independence
• Totally positive bases for shape preserving curve design and optimality of \(B\)-splines
• Shape preserving representations and optimality of the Bernstein basis
• On the optimal stability of the Bernstein basis