凸代数几何中的若干问题研究

11571350
2015
A0410.算法复杂性与近似算法
支丽红
面上项目
研究员
中国科学院数学与系统科学研究院
45万元
半定规划;实代数几何;凸代数几何;凸分析;符号数值混合计算
2016-01-01到2019-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 On Isolation of Simple Multiple Zeros and Clusters of Zeros of Polynomial Systems 期刊论文 Zhiwei Hao;Wenrong Jiang;Nan Li;Lihong Zhi
2 Global Optimization of Polynomials over Real Algebraic Sets 期刊论文 Wang Chu;Yang Zhi Hong;Zhi Lihong
3 LP relaxations for a class of linear semi-infinite programming problems 期刊论文 Feng Guo;Xiaoxia Sun
4 On types of degenerate critical points of real polynomial functions 期刊论文 Feng Guo;Tien-Son Pham
5 On the Complexity of Computing Real Radicals of Polynomial Systems 期刊论文 Mohab Safey El Din;Zhi Hong Yang;Lihong Zhi
6 Polynomial Time Interactive Proofs for Linear Algebra with Exponential Matrix Dimensions and Scalars Given by Polynomial Time Circuits 期刊论文 Jean-Guillaume Dumas;Erich L. Kaltofen;Gilles Villard;Lihong Zhi
7 Computing Multiple Zeros of Polynomial Systems: Case of Breadth One 会议论文 Lihong Zhi
8 On semi-infinite systems of convex polynomial inequalities and polynomial optimization problems 期刊论文 Feng Guo;Xiaoxia Sun
9 On the complexity of computing real radicals of polynomial 会议论文 Mohab Safey El Din;Zhihong Yang;Lihong Zhi
10 Computing real radicals and S-radicals of polynomial systems 期刊论文 Mohab Safey El Din;Zhihong Yang;Lihong Zhi
11 Numerical Sparsity Determination and Early Termination 会议论文 Zhiwei Hao;Erich Kaltofen;Lihong Zhi
12 Semidefinite programming relaxations for linear semi-infinite polynomial programming 期刊论文 Feng Guo;Xiaoxia Sun
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