Polytope-based computation of polynomial ranges
DOI10.1016/j.cagd.2011.09.001zbMath1244.65071OpenAlexW2002910417MaRDI QIDQ426184
Sebti Foufou, Dominique Michelucci, Christoph Fünfzig
Publication date: 11 June 2012
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2011.09.001
linear programmingpolytopesnumerical examplesBernstein polynomialspolynomial systemsmultivariate polynomialsinterval Newton solverspolynomial ranges
Numerical computation of solutions to systems of equations (65H10) Linear programming (90C05) Interval and finite arithmetic (65G30) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Numerical computation of roots of polynomial equations (65H04) Solving polynomial systems; resultants (13P15)
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- Fast construction of constant bound functions for sparse polynomials
- Subdivision algorithms converge quadratically
- On the numerical condition of polynomials in Bernstein form
- Computation of the solutions of nonlinear polynomial systems
- Lower bound functions for polynomials
- Comparison of interval methods for plotting algebraic curves
- Finding all solutions of nonlinear equations using the dual simplex method
- Investigation of a subdivision based algorithm for solving systems of polynomial equations.
- On the stability of transformations between power and Bernstein polynomial forms
- How good are interior point methods? Klee-Minty cubes tighten iteration-complexity bounds
- Introduction to Interval Analysis
- Computation complexity of the range of a polynomial in several variables