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» Division algorithms for Bernstein polynomials
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CAGD
2008
80views more  CAGD 2008»
13 years 4 months ago
Division algorithms for Bernstein polynomials
Three division algorithms are presented for univariate Bernstein polynomials: an algorithm for finding the quotient and remainder of two univariate polynomials, an algorithm for c...
Laurent Busé, Ron Goldman
ASCM
2007
Springer
328views Mathematics» more  ASCM 2007»
13 years 11 months ago
Basis-Independent Polynomial Division Algorithm Applied to Division in Lagrange and Bernstein Basis
Division algorithms for univariate polynomials represented with respect to Lagrange and Bernstein basis are developed. These algore obtained by abstracting from the classical polyn...
Manfred Minimair
CAV
2009
Springer
132views Hardware» more  CAV 2009»
14 years 5 months ago
Image Computation for Polynomial Dynamical Systems Using the Bernstein Expansion
This paper is concerned with the problem of computing the image of a set by a polynomial function. Such image computations constitute a crucial component in typical tools for set-b...
Thao Dang, David Salinas
VC
2008
102views more  VC 2008»
13 years 4 months ago
Solving nonlinear polynomial systems in the barycentric Bernstein basis
We present a method for solving arbitrary systems of N nonlinear polynomials in n variables over an n-dimensional simplicial domain based on polynomial representation in the baryce...
Martin Reuter, Tarjei S. Mikkelsen, Evan C. Sherbr...
AAECC
1995
Springer
92views Algorithms» more  AAECC 1995»
13 years 8 months ago
Division of Entire Functions by Polynomial Ideals
In [ASTW] it was given a Grobner reduction based division formula for entire functions by polynomial ideals. Here we give degree bounds where the input function can be truncated i...
Joachim Apel