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 (Contributor), Mikkelsen, Tarjei Sigurd (Contributor), Sherbrooke, Evan C. (Contributor), Maekawa, Takashi (Author), Patrikalakis, Nicholas M. (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering (Contributor)
Format: Article
Language:English
Published: Spring Berlin/Heidelberg, 2011-08-30T19:27:06Z.
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