We study the ideal generated by polynomials vanishing on a semialgebraic set and give elementary proofs for some equivalent conditions for reality of ideals or S-radical ideals. These results can be applied for modifying polynomial optimization problems so that the associated semidefinite programming relaxation problems have no duality gap.
|Number of pages||10|
|Journal||Japan Journal of Industrial and Applied Mathematics|
|Publication status||Published - Jun 1 2013|
All Science Journal Classification (ASJC) codes
- Applied Mathematics