发表论文
[1] 闫斯卓, 杨剑霆, 禺天石, 支丽红. A Characterization of Perfect Strategies for Mirror Games. International Symposisum on Symbolic and Algebraic Computation, 2023null. 2023, [2] Yang Zhengfeng, Zhao Hanrui, Zhi Lihong. VerifyRealRoots: A Matlab Package for Computing Verified Real Solutions of Polynomials Systems of Equations and Inequalities. JOURNAL OF SYSTEMS SCIENCE AND COMPLEXITY[J]. 2023, 36(2): 866-883, http://sciencechina.cn/gw.jsp?action=detail.jsp&internal_id=7551103&detailType=1.[3] Li, Nan, Zhi, Lihong. Improved two-step Newton's method for computing simple multiple zeros of polynomial systems. NUMERICAL ALGORITHMS[J]. 2022, 91(1): 19-50, http://dx.doi.org/10.1007/s11075-022-01253-7.[4] El Din, Mohab Safey, Yang, ZhiHong, Zhi, Lihong. Computing real radicals and S-radicals of polynomial systems. JOURNAL OF SYMBOLIC COMPUTATION[J]. 2021, 102: 259-278, http://dx.doi.org/10.1016/j.jsc.2019.10.018.[5] 李楠, 支丽红. 计算代数方程组孤立奇异解的符号数值方法. 中国科学:数学[J]. 2021, 51(1): 17-42, https://www.sciengine.com/doi/10.1360/SSM-2019-0289.[6] Friedland, Shmuel, Ge, Jingtong, Zhi, Lihong. Quantum Strassen's theorem. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS[J]. 2020, 23(3): https://www.webofscience.com/wos/woscc/full-record/WOS:000607113000004.[7] Hao, Zhiwei, Jiang, Wenrong, Li, Nan, Zhi, Lihong. ON ISOLATION OF SIMPLE MULTIPLE ZEROS AND CLUSTERS OF ZEROS OF POLYNOMIAL SYSTEMS. MATHEMATICS OF COMPUTATION[J]. 2020, 89(322): 879-909, https://www.webofscience.com/wos/woscc/full-record/WOS:000504041600014.[8] Wang, Chu, Zhi, Lihong. Lifts of Non-Compact Convex Sets and Cone Factorizations. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY[J]. 2020, 33(5): 1632-1655, http://lib.cqvip.com/Qikan/Article/Detail?id=7103514862.[9] Wang Chu, Yang ZhiHong, Zhi Lihong. Global Optimization of Polynomials over Real Algebraic Sets. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY[J]. 2019, 32(1): 158-184, http://lib.cqvip.com/Qikan/Article/Detail?id=6100292585.[10] WANG Chu, YANG ZhiHong, ZHI Lihong. Global Optimization of Polynomials over Real Algebraic Sets. 系统科学与复杂性学报:英文版[J]. 2019, 32(1): 158-184, http://lib.cqvip.com/Qikan/Article/Detail?id=6100292585.[11] El Din Mohab Safey, Yang ZhiHong, Zhi Lihong, Assoc Comp Machinery. On the complexity of computing real radicals of polynomial systems. ISSAC'18: PROCEEDINGS OF THE 2018 ACM INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATIONnull. 2018, 351-358, http://dx.doi.org/10.1145/3208976.3209002.[12] Verschelde, Jan, Watt, Stephen M, Zhi, Lihong. TCS SNC Preface. THEORETICAL COMPUTER SCIENCE. 2017, 681: 1-2, http://dx.doi.org/10.1016/j.tcs.2017.03.023.[13] Dumas JeanGuillaume, Kaltofen Erich L, Villard Gilles, Zhi Lihong, ACM. Polynomial Time Interactive Proofs for Linear Algebra with Exponential Matrix Dimensions and Scalars Given by Polynomial Time Circuits. PROCEEDINGS OF THE 2017 ACM INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION (ISSAC'17)null. 2017, 125-132, http://dx.doi.org/10.1145/3087604.3087640.[14] Zhi, Lihong, Gerdt, VP, Koepf, W, Seiler, WM, Vorozhtsov, EV. Computing Multiple Zeros of Polynomial Systems: Case of Breadth One. COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, CASC 2017null. 2017, 10490: 392-405, [15] Ma, Yue, Wang, Chu, Zhi, Lihong. A certificate for semidefinite relaxations in computing positive-dimensional real radical ideals. JOURNAL OF SYMBOLIC COMPUTATION[J]. 2016, 72: 1-20, http://dx.doi.org/10.1016/j.jsc.2014.12.002.[16] Guo, Feng, Wang, Chu, Zhi, Lihong. SEMIDEFINITE REPRESENTATIONS OF NONCOMPACT CONVEX SETS. SIAM JOURNAL ON OPTIMIZATION[J]. 2015, 25(1): 377-395, https://www.webofscience.com/wos/woscc/full-record/WOS:000352220900016.[17] Li, Nan, Zhi, Lihong. VERIFIED ERROR BOUNDS FOR ISOLATED SINGULAR SOLUTIONS OF POLYNOMIAL SYSTEMS. SIAM JOURNAL ON NUMERICAL ANALYSIS[J]. 2014, 52(4): 1623-1640, https://www.webofscience.com/wos/woscc/full-record/WOS:000341571300008.[18] Li, Nan, Zhi, Lihong. Verified error bounds for isolated singular solutions of polynomial systems: Case of breadth one. THEORETICAL COMPUTER SCIENCE[J]. 2013, 479: 163-173, http://dx.doi.org/10.1016/j.tcs.2012.10.028.[19] Lihong Zhi. Computing rational solutions of linear matrix inequalities. Proc. 2013International Symposium on Symbolic and Algebraic Computation. 2013, [20] Kotsireas, Ilias S, Mourrain, Bernard, Pan, Victor Y, Zhi, Lihong. Symbolic-Numerical Algorithms Preface. THEORETICAL COMPUTER SCIENCEnull. 2013, 479: 1-3, https://www.webofscience.com/wos/woscc/full-record/WOS:000317320400001.[21] Lihong Zhi. Approximate Determining singular solutions of polynomial systems via symbolic-numeric reduction to geometric involutive. Journal of Symbolic Computation. 2012, [22] Kaltofen, Erich L, Li, Bin, Yang, Zhengfeng, Zhi, Lihong. Exact certification in global polynomial optimization via sums-of-squares of rational functions with rational coefficients. JOURNAL OF SYMBOLIC COMPUTATION[J]. 2012, 47(1): 1-15, http://dx.doi.org/10.1016/j.jsc.2011.08.002.[23] Greuet, Aurelien, Guo, Feng, El Din, Mohab Safey, Zhi, Lihong. Global optimization of polynomials restricted to a smooth variety using sums of squares. JOURNAL OF SYMBOLIC COMPUTATION[J]. 2012, 47(5): 503-518, http://dx.doi.org/10.1016/j.jsc.2011.12.003.[24] Li, Nan, Zhi, Lihong. Computing the multiplicity structure of an isolated singular solution: Case of breadth one. JOURNAL OF SYMBOLIC COMPUTATION[J]. 2012, 47(6): 700-710, http://dx.doi.org/10.1016/j.jsc.2011.12.027.[25] Li, Nan, Zhi, Lihong. COMPUTING ISOLATED SINGULAR SOLUTIONS OF POLYNOMIAL SYSTEMS: CASE OF BREADTH ONE. SIAM JOURNAL ON NUMERICAL ANALYSIS[J]. 2012, 50(1): 354-372, https://www.webofscience.com/wos/woscc/full-record/WOS:000300891000017.[26] 支丽红. 符号和数值混合计算. 系统科学与数学[J]. 2008, 28(8): 1040-, http://lib.cqvip.com/Qikan/Article/Detail?id=27952194.[27] Sun, Dongxia, Zhi, Lihong. Structured Low Rank Approximation of a Bezout Matrix. MATHEMATICS IN COMPUTER SCIENCE[J]. 2007, 1(2): 427-437, [28] Li Bingyu, Liu Zhuojun, Zhi Lihong, Wang D, Zhi L. Implementation of fast low rank approximation of a Sylvester matrix. SYMBOLIC-NUMERIC COMPUTATIONnull. 2007, 85-+, http://apps.webofknowledge.com/CitedFullRecord.do?product=UA&colName=WOS&SID=5CCFccWmJJRAuMzNPjj&search_mode=CitedFullRecord&isickref=WOS:000245736500006.[29] Kaltofen, Ezich, Yang, Zhengfeng, Zhi, Lihong, Wang, D, Zhi, L. Structured low rank. approximation of a Sylvester matrix. SYMBOLIC-NUMERIC COMPUTATIONnull. 2007, 69-+, [30] 支丽红. Optimal Algorithm for Algebraic Factoring. 计算机科学技术学报:英文版[J]. 1997, 12(1): 1-, http://lib.cqvip.com/Qikan/Article/Detail?id=6795182.[31] Kisun Lee, Nan Li, Lihong Zhi. On isolation of singular zeros of multivariate analytic systems. JOURNAL OF SYMBOLIC COMPUTATION. http://dx.doi.org/10.1016/j.jsc.2020.01.002.[32] Guo, Feng, Wang, Chu, Zhi, Lihong. Semidefinite representations of non-compact convex sets. http://arxiv.org/abs/1401.1917.