Interval Methods Revisited
نویسنده
چکیده
This paper presents a branch & cut algorithm to nd all isolated solutions of a system of polynomial constraints. Our ndings show that fairly straightforward reenements of interval methods inspired by AI constraint propagation techniques result in a multivariate root nding algorithm that is competitive with continuation methods on most benchmarks and which can solve a variety of systems that are totally infeasible for continuation methods. For example, we can solve the Broyden Banded function benchmark for hundreds of variables and hundreds of cubic equations.
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