郭峰 - 大连理工大学 - 数学科学学院

个人简介

郭峰，大连理工大学数学科学学院计算数学研究所副教授，硕士生导师。主要从事多项式优化相关理论的研究工作，包括多项式及半代数优化、半定规划、符号数值混合计算、数学机械化等。主要研究成果包括非紧致情形多项式（及有理函数）优化的半定规划松弛、半无限多项式规划的线性及半定规划松弛、非紧致半代数集的半定表示，多项式优化问题局部极值性判定等。目前，在国外重要期刊及会议发表论文多篇，主持和参加国家自然科学基金项目2项。教育经历 2007.9-2012.1 中科院数学与系统科学研究院 | 应用数学 | 博士 2003.9-2007.7 山东大学 | 数学与应用数学 | 学士工作经历 2012.2-2013.7美国加州大学圣地亚哥分校 - Department of Mathematics - 博士后

研究领域

多项式及半代数优化、半定规划，数学机械化，符号与数值混合算法

近期论文

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

郭峰.On semi-infinite systems of convex polynomial inequalities and polynomial optimization problems[J],COMPUTATIONAL OPTIMIZATION AND APPLICATIONS,2022,75(3,SI):669-6992022-10-11 郭峰.On solving a class of fractional semi-infinite polynomial programming problems[J],COMPUTATIONAL OPTIMIZATION AND APPLICATIONS,2022,80(2):439-4812022-10-11 郭峰.On types of degenerate critical points of real polynomial functions[J],JOURNAL OF SYMBOLIC COMPUTATION,2022,99:108-1262022-10-11 郭峰.Optimizing a linear function over a noncompact real algebraic variety[A],2014 Symposium on Symbolic-Numeric Computation, SNC 2014,2022,39-402022-10-11 郭峰.Optimizing a parametric linear function over a noncompact real algebraic variety[A],2015 International Symposium on Symbolic and Algebraic Computation,2022,205-2122022-10-11 郭峰.SEMIDEFINITE REPRESENTATIONS OF NONCOMPACT CONVEX SETS[J],SIAM JOURNAL ON OPTIMIZATION,2022,25(1):377-3952022-10-11 郭峰.LP relaxations for a class of linear semi-infinite programming problems[J],OPTIMIZATION,2022,66(5):657-6732022-10-03 Dinh, Si-Tiep.Global Lojasiewicz inequalities on comparing the rate of growth of polynomial functions[J],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2022,499(2)2022-10-03 郭峰,孙晓霞.Semidefinite programming relaxations for linear semi-infinite polynomial programming[J],Pacific Journal of Optimization,2021,16(3):395-4182021-12-14 Feng Guo,Mohab Safey EI Din,Lihong Zhi.Global optimization of polynomials using generalized critical values and sums of squares,Proc. 2010 Internat. Symp. Symbolic Algebraic Comput.,2010,107-1142016-12-05 Feng Guo,Guangming Zhou,Li Wang.Minimizing rational functions by exact Jacobian SDP relaxation applicable to finite singularities,Journal of Global Optimization,2014,58:261-2842016-12-05 Li Wang,Feng Guo.Semidefinite relaxations for semi-infinite polynomial programming,Computational Optimization and Applications,2014,58(1):133-159 Aurélien Greuet,Feng Guo,Mohab Safey El Din,Lihong Zhi.Global optimization of polynomials restricted to a smooth variety using sums of squares,2012,47:503-5182016-12-05 Feng Guo,Erich Kaltofen,Lihong Zhi.Certificates of Impossibility of Hilbert-Artin Representations of a Given Degree for Definite Poly…,In Proceedings of the 2012 International Symposium on Symbolic and Algebraic Computation,2012,195-202