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Rigid continuation paths II. Structured polynomial systems
[article]
2021
arXiv
pre-print
This work studies the average complexity of solving structured polynomial systems that are characterized by a low evaluation cost, as opposed to the dense random model previously used. Firstly, we design a continuation algorithm that computes, with high probability, an approximate zero of a polynomial system given only as black-box evaluation program. Secondly, we introduce a universal model of random polynomial systems with prescribed evaluation complexity L. Combining both, we show that we
arXiv:2010.10997v2
fatcat:k2oucawmqfdrlkp2kduwlgofdu