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A certificate for semidefinite relaxations in computing positive-dimensional real radical ideals

  • Published:2016-01 Issue: Volume:72 Page:1-20
  • ISSN:0747-7171
  • Container-title:Journal of Symbolic Computation
  • language:en
  • Short-container-title:Journal of Symbolic Computation

Author:

Ma Yue,Wang Chu,Zhi Lihong

Funder

National Key Basic Research Project

National Natural Science Foundation of China

National Institute for Mathematical Sciences

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference43 articles.

1. Real solving for positive dimensional systems;Aubry;J. Symb. Comput.,2002

2. Polar varieties and efficient real elimination;Bank;Math. Z.,2001

3. On computing a set of points meeting every cell defined by a family of polynomials on a variety;Basu;J. Complex.,1997

4. Computation of real radicals of polynomial ideals;Becker,1993

5. Radical computations of zero-dimensional ideals and real root counting;Becker;Math. Comput. Simul.,1996

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2. Voronoi cells of varieties;Journal of Symbolic Computation;2022-03

3. Computing Real Radicals by Moment Optimization;Proceedings of the 2021 on International Symposium on Symbolic and Algebraic Computation;2021-07-18

4. Computing real radicals and S-radicals of polynomial systems;Journal of Symbolic Computation;2021-01

5. Generators for the $C^m$-closures of ideals;Revista Matemática Iberoamericana;2020-06-30
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