Solving nonlinear polynomial systems in the barycentric Bernstein basis

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 barycentric Bernstein basis and subdivision. The roots are approximated to arbitrary precision by iteratively constructing a s...

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Bibliographic Details
Main Authors: Reuter, Martin, Mikkelsen, Tarjei Sigurd, Sherbrooke, Evan C., Maekawa, Takashi, Patrikalakis, Nicholas M.
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:en_US
Published: Spring Berlin/Heidelberg 2011
Online Access:http://hdl.handle.net/1721.1/65558

Internet

http://hdl.handle.net/1721.1/65558

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