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...

Полное описание

Библиографические подробности
Главные авторы: Reuter, Martin, Mikkelsen, Tarjei Sigurd, Sherbrooke, Evan C., Maekawa, Takashi, Patrikalakis, Nicholas M.
Другие авторы: Massachusetts Institute of Technology. Department of Mechanical Engineering
Формат: Статья
Язык:en_US
Опубликовано: Spring Berlin/Heidelberg 2011
Online-ссылка:http://hdl.handle.net/1721.1/65558