Guangming Zhou

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All published works

Action	Title	Year	Authors
+ PDF Chat	The Rank-1 Completion Problem for Cubic Tensors	2025	Jinling Zhou Jiawang Nie Peng Zheng Guangming Zhou
+ PDF Chat	Robust approximation of chance constrained optimization with polynomial perturbation	2024	Bo Rao Liu Yang Suhan Zhong Guangming Zhou
+ PDF Chat	The Rank-1 Completion Problem for Cubic Tensors	2024	Jinling Zhou Jiawang Nie Peng Zheng Guangming Zhou
+	Hausdorff distance between convex semialgebraic sets	2023	Wenjie Zhao Guangming Zhou
+	Local saddle points for unconstrained polynomial optimization	2022	Wenjie Zhao Guangming Zhou
+ PDF Chat	The Saddle Point Problem of Polynomials	2021	Jiawang Nie Zi Yang Guangming Zhou
+	Distributionally Robust Optimization with Moment Ambiguity Sets	2021	Jiawang Nie Yang Liu Suhan Zhong Guangming Zhou
+	Hermitian completely positive matrices	2020	Anwa Zhou Jinyan Fan Guangming Zhou
+	Saddle points of rational functions	2019	Guangming Zhou Qin Wang Wenjie Zhao
+	SDP relaxation algorithms for $$\mathbf {P}(\mathbf {P}_0)$$-tensor detection	2019	Xiao Wang Xinzhen Zhang Guangming Zhou
+	Numerical Methods for Vector Polynomial Optimization Problem	2019	Peng Xueke Guangming Zhou Wenjie Zhao
+	The Saddle Point Problem of Polynomials	2018	Jiawang Nie Zi Yang Guangming Zhou
+	Semidefinite Optimization Estimating Bounds on Linear Functionals Defined on Solutions of Linear ODEs	2016	Guangming Zhou Chao Deng Kun Wu
+	BOUNDS ON LINEAR FUNCTIONALS OF SOLUTIONS OF LINEAR INTEGRAL EQUATIONS WITH POLYNOMIAL KERNELS VIA SEMIDEFINITE OPTIMIZATION	2015	Guangming Zhou Chao Deng Kun Wu
+ PDF Chat	Semidefinite Optimization Providing Guaranteed Bounds on Linear Functionals of Solutions of Linear Integral Equations with Smooth Kernels	2014	Guangming Zhou Chao Deng Kun Wu
+	The steepest descent algorithm without line search for p-Laplacian	2013	Guangming Zhou Chunsheng Feng
+ PDF Chat	Minimizing rational functions by exact Jacobian SDP relaxation applicable to finite singularities	2013	Feng Guo Li Wang Guangming Zhou
+	NEWTON-LIKE ITERATIVE ALGORITHMS FOR SOLVING GENERAL NONLINEAR ALGEBRAIC EQUATION BASED ON HOMOTOPY ANALYSIS METHOD	2012	Guangming Zhou Pingmin Zhu
+	Minimizing Rational Functions by Exact Jacobian SDP Relaxation Applicable to Finite Singularities	2012	Feng Guo Li Wang Guangming Zhou
+	Hybrid conjugate gradient method for solving fuzzy nonlinear equations	2010	Guangming Zhou Yunzhi Gan
+	A descent algorithm without line search for unconstrained optimization	2009	Guangming Zhou
+	Conjugate Gradient Algorithm for Fuzzy System of Linear Equations	2009	Guangming Zhou Yunzhi Gan
+	Quasi-norm Interponation Error Estimates for Finite Element Approximations of a Nonlinear Elliptic Equation	2009	Guangming Zhou
+	Convergence Properties of a Conjugate Gradient Method with Armijo-type Line Searches	2008	Guangming Zhou
+	Comment on economic theory of Dong Fu-reng	2003	Guangming Zhou

Common Coauthors

Coauthor	Papers Together
Jiawang Nie	4
Kun Wu	3
Wenjie Zhao	3
Chao Deng	3
Suhan Zhong	2
Zi Yang	2
Jinling Zhou	2
Yunzhi Gan	2
Feng Guo	2
Li Wang	2
Xinzhen Zhang	1
Xiao Wang	1
Wenjie Zhao	1
Pingmin Zhu	1
Peng Zheng	1
Peng Xueke	1
Liu Yang	1
Bo Rao	1
Yang Liu	1
Peng Zheng	1
Chunsheng Feng	1
Qin Wang	1
Jiawang Nie	1
Anwa Zhou	1
Jinyan Fan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Global Optimization with Polynomials and the Problem of Moments	2001	Jean B. Lasserre	13
+ PDF Chat	Sums of Squares, Moment Matrices and Optimization Over Polynomials	2008	Monique Laurent	10
+ PDF Chat	Certifying convergence of Lasserre’s hierarchy via flat truncation	2012	Jiawang Nie	10
+	Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones	1999	J.F. Sturm	10
+ PDF Chat	GloptiPoly 3: moments, optimization and semidefinite programming	2009	Didier Henrion Jean B. Lasserre Johan Löfberg	9
+ PDF Chat	Optimality conditions and finite convergence of Lasserre’s hierarchy	2013	Jiawang Nie	7
+ PDF Chat	Linear optimization with cones of moments and nonnegative polynomials	2014	Jiawang Nie	7
+ PDF Chat	Detecting Global Optimality and Extracting Solutions in GloptiPoly	2005	Didier Henrion Jean B. Lasserre	7
+ PDF Chat	Polynomial Optimization with Real Varieties	2013	Jiawang Nie	5
+	Moments, Positive Polynomials and Their Applications	2009	Jean B. Lasserre	5
+	Representations of positive polynomials on noncompact semialgebraic sets via KKT ideals	2006	James Demmel Jiawang Nie Victoria Powers	5
+	Semidefinite programming relaxations for semialgebraic problems	2003	Pablo A. Parrilo	5
+	Truncated K-moment problems in several variables	2005	Raúl E. Curto Lawrence A. Fialkow	4
+	Decomposition Techniques for Bilinear Saddle Point Problems and Variational Inequalities with Affine Monotone Operators	2016	Bruce Cox Anatoli Juditsky Arkadi Nemirovski	4
+ PDF Chat	An exact Jacobian SDP relaxation for polynomial optimization	2011	Jiawang Nie	4
+	Positivity and Sums of Squares: A Guide to Recent Results	2008	Claus Scheiderer	4
+	Real algebraic geometry	2014	Jacek Bochnak Michel Coste Marie-Françoise Roy	4
+	Subgradient Methods for Saddle-Point Problems	2009	A. Nedić Asuman Ozdaglar	4
+ PDF Chat	Optimal Primal-Dual Methods for a Class of Saddle Point Problems	2014	Yunmei Chen Guanghui Lan Yuyuan Ouyang	4
+ PDF Chat	An Introduction to Polynomial and Semi-Algebraic Optimization	2015	Jean B. Lasserre	4
+ PDF Chat	Prox-Method with Rate of Convergence <i>O</i>(1/<i>t</i>) for Variational Inequalities with Lipschitz Continuous Monotone Operators and Smooth Convex-Concave Saddle Point Problems	2004	Arkadi Nemirovski	4
+ PDF Chat	Algebraic Degree of Polynomial Optimization	2009	Jiawang Nie Kristian Ranestad	4
+	The truncated moment problem via homogenization and flat extensions	2012	Lawrence A. Fialkow Jiawang Nie	4
+	Real Algebraic Geometry	1998	Frédéric Mangolte Jean-Philippe Rolin Kurdyka Krzysztof Saugata Basu Victoria Powers	4
+ PDF Chat	Semidefinite programming for min–max problems and games	2010	Rida Laraki Jean B. Lasserre	3
+	Revisiting two theorems of Curto and Fialkow on moment matrices	2005	Monique Laurent	3
+	There are significantly more nonegative polynomials than sums of squares	2006	Grigoriy Blekherman	3
+	Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective	2012	Bingsheng He Xiaoming Yuan	3
+	Optimization over polynomials: Selected topics	2014	Monique Laurent	3
+ PDF Chat	Tight relaxations for polynomial optimization and Lagrange multiplier expressions	2018	Jiawang Nie	3
+ PDF Chat	Semidefinite representation of convex sets	2008	J. William Helton Jiawang Nie	3
+ PDF Chat	Generating Polynomials and Symmetric Tensor Decompositions	2015	Jiawang Nie	3
+	YALMIP : a toolbox for modeling and optimization in MATLAB	2005	Johan Löfberg	3
+	THE MOMENT-SOS HIERARCHY	2019	Jean B. Lasserre	3
+ PDF Chat	Minimizing Polynomials via Sum of Squares over the Gradient Ideal	2005	Jiawang Nie James Demmel Bernd Sturmfels	3
+ PDF Chat	Global minimization of rational functions and the nearest GCDs	2006	Jiawang Nie James Demmel Ming Gu	3
+	Accelerating Block-Decomposition First-Order Methods for Solving Composite Saddle-Point and Two-Player Nash Equilibrium Problems	2015	Yunlong He Renato D. C. Monteiro	3
+	Convex Analysis and Optimization	2003	Dimitri P. Bertsekas Angelia Nedić Asuman Ozdaglar	3
+ PDF Chat	A Semidefinite Approach for Truncated K-Moment Problems	2012	J. William Helton Jiawang Nie	3
+ PDF Chat	Global optimization of rational functions: a semidefinite programming approach	2005	D. Jibetean Etienne de Klerk	3
+	Complexity of Variants of Tseng's Modified F-B Splitting and Korpelevich's Methods for Hemivariational Inequalities with Applications to Saddle-point and Convex Optimization Problems	2011	Renato D. C. Monteiro B. F. Svaiter	3
+ PDF Chat	Discriminants and nonnegative polynomials	2011	Jiawang Nie	2
+ PDF Chat	On the Complexity of Computing Critical Points with Gröbner Bases	2014	Pierre-Jean Spaenlehauer	2
+ PDF Chat	The hierarchy of local minimums in polynomial optimization	2014	Jiawang Nie	2
+	Solving polynomial optimization problems via the truncated tangency variety and sums of squares	2009	Huy Vui Hà Tiến-Sơn Phạm	2
+	Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization	1995	Farid Alizadeh	2
+	Minimization Algorithms Based on Supervisor and Searcher Cooperation	2001	W. Liu Y. H. Dai	2
+ PDF Chat	On the Barzilai and Borwein choice of steplength for the gradient method	1993	Marcos Raydan	2
+ PDF Chat	Bounds on measures satisfying moment conditions	2002	Jean B. Lasserre	2
+	Robust global optimization with polynomials	2005	Jean B. Lasserre	2