Bernstein form of a polynomial
From MaRDI portal
Publication:5514026
DOI10.6028/jres.070B.005zbMath0139.10003OpenAlexW2314084593MaRDI QIDQ5514026
Publication date: 1966
Published in: Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.6028/jres.070b.005
Related Items (25)
Inclusion functions and global optimization ⋮ A test, based on conversion to the Bernstein polynomial basis, for an interval to be free of zeros applicable to polynomials in Chebyshev form and to transcendental functions approximated by Chebyshev series ⋮ Control point based exact description of curves and surfaces, in extended Chebyshev spaces ⋮ Bernstein form is inclusion monotone ⋮ On the numerical condition of polynomials in Bernstein form ⋮ Methods for bounding the range of a polynomial ⋮ Interval approximation of higher order to the ranges of functions ⋮ The range of values of a circular complex polynomial over a circular complex interval ⋮ Lower bound functions for polynomials ⋮ Bounds on a polynomial ⋮ The Bernstein polynomial basis: a centennial retrospective ⋮ On the numerical condition of algebraic curves and surfaces. I: Implicit equations ⋮ A new method of evaluating compact geometric bounds for use in subdivision algorithms ⋮ Reachability computation for polynomial dynamical systems ⋮ Quasi-interpolant operators in Bernstein basis ⋮ Construction and shape analysis of PH quintic Hermite interpolants ⋮ Bounds on the number of steps of WDS required for checking the positivity of integral forms ⋮ Bounds for an interval polynomial ⋮ A note on the Bernstein algorithm for bounds for interval polynomials ⋮ The range of values of a complex polynomial over a complex interval ⋮ Fast construction of constant bound functions for sparse polynomials ⋮ A basic theorem in the computation of ellipsoidal error bounds ⋮ Solving Linear Systems with Polynomial Parameter Dependency with Application to the Verified Solution of Problems in Structural Mechanics ⋮ Parameter synthesis of polynomial dynamical systems ⋮ Comparison of interval methods for plotting algebraic curves
This page was built for publication: Bernstein form of a polynomial
