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Solving systems of algebraic equations

Kiciak P.

Machine Graphics and Vision

2002

Vol. 11, No. 4

455-473

Numerical procedutes of solving a system for algebraic equations usually consist of a part that localizes the solutions and a part that computers their accurate approximations. The localization is often based on the convex hull property of the Bernstein-Bezier representation of the equations. In the procedure described in this paper, the convex hull test is complemented with another, which significantly improves the efficiency of the procedures.