• Corpus ID: 11913006

Facial Reduction and SDP Methods for Systems of Polynomial Equations

@article{Reid2015FacialRA,
  title={Facial Reduction and SDP Methods for Systems of Polynomial Equations},
  author={Gregory J. Reid and Fei Wang and Henry Wolkowicz and Wenyuan Wu},
  journal={ArXiv},
  year={2015},
  volume={abs/1504.00931}
}
The real radical ideal of a system of polynomials with finitely many complex roots is generated by a system of real polynomials having only real roots and free of multiplicities. It is a central object in computational real algebraic geometry and important as a preconditioner for numerical solvers. Lasserre and co-workers have shown that the real radical ideal of real polynomial systems with finitely many real solutions can be determined by a combination of semi-definite programming (SDP) and… 
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