Shenglong Hu

Generating author description...

All published works

Action	Title	Year	Authors
+	A Low-Rank Tensor Completion Method via Strassen–Ottaviani Flattening	2024	Tiantian He Shenglong Hu Zheng‐Hai Huang
+ PDF Chat	Quantifying low rank approximations of third order symmetric tensors	2024	Shenglong Hu Defeng Sun Kim-Chuan Toh
+	Quadratic Growth and Linear Convergence of a DCA Method for Quartic Minimization over the Sphere	2024	Shenglong Hu Zhifang Yan
+	A DCA-Newton method for quartic minimization over the sphere	2023	Shenglong Hu Yong Wang Jinling Zhou
+	Quantifying low rank approximations of third order symmetric tensors	2023	Shenglong Hu Defeng Sun Kim-Chuan Toh
+ PDF Chat	Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations	2022	Shenglong Hu Ke Ye
+	A globally convergent method for solving a quartic generalized Markowitz portfolio problem	2022	Shenglong Hu Qun Wang
+	Unconstrained minimization of block-circulant polynomials via semidefinite program in third-order tensor space	2022	Meng-Meng Zheng Zheng‐Hai Huang Shenglong Hu
+ PDF Chat	Nondegeneracy of eigenvectors and singular vector tuples of tensors	2022	Shenglong Hu
+	$${\text {B}}$$-Subdifferential of the Projection onto the Generalized Spectraplex	2022	Youyicun Lin Shenglong Hu
+	When geometry meets optimization theory: partially orthogonal tensors	2022	Ke Ye Shenglong Hu
+	A Global Convergence Analysis for Computing a Symmetric Low-Rank Orthogonal Approximation	2021	Wenxin Du Shenglong Hu Youyicun Lin Jie Wang
+	$${\text {B}}$$-subdifferentials of the projection onto the matrix simplex	2021	Shenglong Hu Guoyin Li
+ PDF Chat	A note on the solvability of a tensor equation	2021	Shenglong Hu
+	Certifying the Global Optimality of Quartic Minimization over the Sphere	2021	Shenglong Hu
+	B-Subdifferentials of the Projection onto the Generalized Simplex	2021	Youyicun Lin Shenglong Hu
+ PDF Chat	Spectral norm and nuclear norm of a third order tensor	2021	Liqun Qi Shenglong Hu Yanwei Xu
+	Biquadratic tensors, biquadratic decompositions, and norms of biquadratic tensors	2021	Liqun Qi Shenglong Hu Xinzhen Zhang Yanwei Xu
+	Nondegeneracy of eigenvectors and singular vector tuples of tensors	2021	Shenglong Hu
+	Connectedness of the solution set of the tensor complementarity problem	2020	Yan Li Zheng‐Hai Huang Shenglong Hu
+	An Introduction to the Computational Complexity of Matrix Multiplication	2019	Yan Li Shenglong Hu Jie Wang Zheng‐Hai Huang
+	Nuclear Norm and Spectral Norm of Tensor Product.	2019	Liqun Qi Shenglong Hu Xinzhen Zhang
+	Norm of Tensor Product, Tensor Norm, Cubic Power and Gelfand Limit	2019	Liqun Qi Shenglong Hu Xinzhen Zhang Yannan Chen
+	Norm of Tensor Product, Tensor Norm, and Cubic Power of A Third Order Tensor	2019	Liqun Qi Shenglong Hu Xinzhen Zhang Yannan Chen
+	Bounds on strongly orthogonal ranks of tensors	2019	Shenglong Hu
+	An inexact augmented Lagrangian method for computing strongly orthogonal decompositions of tensors	2019	Shenglong Hu
+	Generating Hypergraphs and Classification of Two-Step Nilpotent Lie Algebras	2019	Shenglong Hu Liqun Qi Honglian Zhang
+	Symmetry of eigenvalues of Sylvester matrices and tensors	2019	Shenglong Hu
+	An inexact augmented Lagrangian multiplier method for solving quadratic complementary problems: An adapted algorithmic framework combining specific resolution techniques	2019	Shenglong Hu Jie Wang Zheng‐Hai Huang
+ PDF Chat	Irreducible function bases of isotropic invariants of a third order three-dimensional symmetric and traceless tensor	2019	Yannan Chen Shenglong Hu Liqun Qi Wennan Zou
+	Generating Hypergraphs, Decomposability and Classification of Two-Step Nilpotent Lie Algebras	2019	Shenglong Hu Liqun Qi Honglian Zhang
+	Spectral Norm and Nuclear Norm of a Third Order Tensor	2019	Liqun Qi Shenglong Hu
+	Biquadratic Tensors, Biquadratic Decomposition and Norms of Biquadratic Tensors	2019	Liqun Qi Shenglong Hu Xinzhen Zhang
+	Tensor Norm, Cubic Power and Gelfand Limit	2019	Liqun Qi Shenglong Hu Xinzhen Zhang Yannan Chen
+ PDF Chat	Best Nonnegative Rank-One Approximations of Tensors	2019	Shenglong Hu Defeng Sun Kim-Chuan Toh
+	Linear Convergence of an Alternating Polar Decomposition Method for Low Rank Orthogonal Tensor Approximations	2019	Shenglong Hu Ke Ye
+	Characteristic polynomial and higher order traces of third order three dimensional tensors	2018	Guimei Zhang Shenglong Hu
+	Error Bounds for the Solution Sets of Quadratic Complementarity Problems	2018	Shenglong Hu Jie Wang Zheng‐Hai Huang
+	Convergence rate analysis for the higher order power method in best rank one approximations of tensors	2018	Shenglong Hu Guoyin Li
+	Best Nonnegative Rank-One Approximations of Tensors	2018	Shenglong Hu Defeng Sun Kim-Chuan Toh
+	Solution Sets of Quadratic Complementarity Problems	2017	Jie Wang Shenglong Hu Zheng‐Hai Huang
+	Inverse eigenvalue problem for tensors	2017	Ke Ye Shenglong Hu
+	Irreducible Function Bases of Isotropic Invariants of A Third Order Three-Dimensional Symmetric and Traceless Tensor	2017	Yannan Chen Shenglong Hu Liqun Qi Wennan Zou
+ PDF Chat	Computing the geometric measure of entanglement of multipartite pure states by means of non-negative tensors	2016	Shenglong Hu Liqun Qi Guofeng Zhang
+ PDF Chat	A Necessary and Sufficient Condition for Existence of a Positive Perron Vector	2016	Shenglong Hu Liqun Qi
+ PDF Chat	Multiplicities of tensor eigenvalues	2016	Shenglong Hu Ke Ye
+	Positive Spectral Radius and Positive Perron Vector of a Nonnegative Tensor	2015	Shenglong Hu Liqun Qi
+	A generalized Newton method for absolute value equations associated with circular cones	2015	Xin-He Miao Jiantao Yang Shenglong Hu
+	An iterative algorithm for third-order tensor multi-rank minimization	2015	Yang Lei Zheng‐Hai Huang Shenglong Hu Jiye Han
+	Relations of the nuclear norm of a tensor and its matrix flattenings	2015	Shenglong Hu
+	Inverse tensor eigenvalue problem	2015	Ke Ye Shenglong Hu
+	A Necessary and Sufficient Condition for Existence of a Positive Perron Vector	2015	Shenglong Hu Liqun Qi
+ PDF Chat	The largest Laplacian and signless Laplacian H-eigenvalues of a uniform hypergraph	2014	Shenglong Hu Liqun Qi Jinshan Xie
+ PDF Chat	A Tensor Analogy of Yuan’s Theorem of the Alternative and Polynomial Optimization with Sign structure	2014	Shenglong Hu Guoyin Li Liqun Qi
+	A Tensor Analogy of Yuan's Alternative Theorem and its Application to Polynomial Optimization	2014	Shenglong Hu Guoyin Li Liqun Qi
+ PDF Chat	Some new trace formulas of tensors with applications in spectral hypergraph theory	2014	Jia‐Yu Shao Liqun Qi Shenglong Hu
+ PDF Chat	Convergence of a second order Markov chain	2014	Shenglong Hu Liqun Qi
+	The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph	2014	Shenglong Hu Liqun Qi
+	Multiplicities of eigenvalues of tensors	2014	Shenglong Hu Ke Ye
+	Relations of the Nuclear Norms of a Tensor and its Matrix Flattenings	2014	Shenglong Hu
+	A Tensor Analogy of Yuan's Theorem of the Alternative and Polynomial Optimization with Sign structure	2014	Shenglong Hu Guoyin Li Liqun Qi
+ PDF Chat	Strictly nonnegative tensors and nonnegative tensor partition	2013	Shenglong Hu Zheng‐Hai Huang Liqun Qi
+	Cored hypergraphs, power hypergraphs and their Laplacian H-eigenvalues	2013	Shenglong Hu Liqun Qi Jia-Yu Shao
+ PDF Chat	The E-eigenvectors of tensors	2013	Shenglong Hu Liqun Qi
+	Finding the extreme Z‐eigenvalues of tensors via a sequential semidefinite programming method	2013	Shenglong Hu Zheng‐Hai Huang Liqun Qi
+ PDF Chat	Finding the Maximum Eigenvalue of Essentially Nonnegative Symmetric Tensors via Sum of Squares Programming	2013	Shenglong Hu Guoyin Li Liqun Qi Yisheng Song
+	The Laplacian of a uniform hypergraph	2013	Shenglong Hu Liqun Qi
+	Cored Hypergraphs, Power Hypergraphs and Their Laplacian H-Eigenvalues	2013	Shenglong Hu Liqun Qi Jia‐Yu Shao
+	The Largest Laplacian and Signless Laplacian H-Eigenvalues of a Uniform Hypergraph	2013	Shenglong Hu Liqun Qi Jinshan Xie
+	Some new trace formulas of tensors with applications in spectral hypergraph theory	2013	Jia‐Yu Shao Liqun Qi Shenglong Hu
+	Convergence of a Second Order Markov Chain	2013	Shenglong Hu Liqun Qi
+	On determinants and eigenvalue theory of tensors	2012	Shenglong Hu Zheng‐Hai Huang Chen Ling Liqun Qi
+	The E-characteristic polynomial of a tensor of dimension 2	2012	Shenglong Hu Liqun Qi
+	Theorems of the Alternative for Inequality Systems of Real Polynomials	2012	Shenglong Hu Zheng‐Hai Huang
+	The geometric measure of entanglement of pure states with nonnegative amplitudes and the spectral theory of nonnegative tensors	2012	Shenglong Hu Liqun Qi Guofeng Zhang
+	Geometric measure of entanglement of multipartite mixed states	2012	Shenglong Hu Liqun Qi Yisheng Song Guofeng Zhang
+	Positive definiteness of Diffusion Kurtosis Imaging	2012	Shenglong Hu Zheng‐Hai Huang Hongyan Ni Liqun Qi
+	A note on quadratic convergence of a smoothing Newton algorithm for the LCP	2011	Tie Ni Shenglong Hu
+ PDF Chat	Finding the Spectral Radius of a Nonnegative Tensor	2011	Shenglong Hu Zheng‐Hai Huang Liqun Qi
+	Algebraic connectivity of an even uniform hypergraph	2011	Shenglong Hu Liqun Qi
+	Alternating direction method for bi-quadratic programming	2011	Shenglong Hu Zheng‐Hai Huang
+	Properties of a family of merit functions and a merit function method for the NCP	2010	Li-Yong Lu Zheng‐Hai Huang Shenglong Hu
+	A note on approximating quadratic programming with rank constraint	2010	Shenglong Hu Zheng‐Hai Huang
+	A generalized Newton method for absolute value equations associated with second order cones	2010	Shenglong Hu Zheng‐Hai Huang Qiong Zhang
+	Polynomial time solvability of non-symmetric semidefinite programming	2010	Shenglong Hu Zheng‐Hai Huang
+	A note on absolute value equations	2010	Shenglong Hu Zheng‐Hai Huang
+	A Non-monotone Line Search Algorithm for Unconstrained Optimization	2009	Shenglong Hu Zheng‐Hai Huang Nan Lu
+	Convergence of a smoothing algorithm for symmetric cone complementarity problems with a nonmonotone line search	2009	Zheng‐Hai Huang Shenglong Hu Jiye Han
+	A nonmonotone smoothing Newton algorithm for solving nonlinear complementarity problems	2009	Shenglong Hu Zheng‐Hai Huang Ping Wang
+	Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems	2008	Shenglong Hu Zheng‐Hai Huang Jein-Shan Chen

Common Coauthors

Coauthor	Papers Together
Liqun Qi	40
Zheng‐Hai Huang	24
Ke Ye	7
Guoyin Li	6
Xinzhen Zhang	6
Yannan Chen	5
Kim-Chuan Toh	4
Defeng Sun	4
Jie Wang	3
Jia‐Yu Shao	3
Guofeng Zhang	3
Youyicun Lin	3
Jiye Han	2
Wennan Zou	2
Honglian Zhang	2
Yanwei Xu	2
Jinshan Xie	2
Yisheng Song	1
Zhifang Yan	1
Yong Wang	1
Nan Lu	1
Tiantian He	1
Tie Ni	1
Chen Ling	1
Jie Wang	1
Jia-Yu Shao	1
Guimei Zhang	1
Yang Lei	1
Jiantao Yang	1
Hongyan Ni	1
Yisheng Song	1
Jinling Zhou	1
Jein-Shan Chen	1
Xin-He Miao	1
Meng-Meng Zheng	1
Li-Yong Lu	1
Qun Wang	1
Yan Li	1
Yan Li	1
Qiong Zhang	1
Ping Wang	1
Jie Wang	1
Wenxin Du	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Eigenvalues of a real supersymmetric tensor	2005	Liqun Qi	32
+ PDF Chat	Singular Values and Eigenvalues of Tensors: A Variational Approach	2006	Lek‐Heng Lim	29
+	Tensors: Geometry and Applications	2011	J. M. Landsberg	23
+ PDF Chat	Perron-Frobenius theorem for nonnegative tensors	2008	Kai‐Wei Chang K. PEARSON T. Zhang	18
+	Tensor Decompositions and Applications	2009	Tamara G. Kolda Brett W. Bader	17
+	Algebraic connectivity of an even uniform hypergraph	2011	Shenglong Hu Liqun Qi	16
+	Further Results for Perron–Frobenius Theorem for Nonnegative Tensors	2010	Yuning Yang Qingzhi Yang	16
+	Spectra of uniform hypergraphs	2011	Joshua Cooper Aaron Dutle	14
+	On determinants and eigenvalue theory of tensors	2012	Shenglong Hu Zheng‐Hai Huang Chen Ling Liqun Qi	14
+	Eigenvalues and invariants of tensors	2006	Liqun Qi	12
+ PDF Chat	Solving Systems of Polynomial Equations	2002	Bernd Sturmfels	11
+ PDF Chat	H<sup>+</sup>-eigenvalues of Laplacian and signless Laplacian tensors	2014	Liqun Qi	11
+ PDF Chat	Biquadratic Optimization Over Unit Spheres and Semidefinite Programming Relaxations	2009	Chen Ling Jiawang Nie Liqun Qi Yinyu Ye	11
+	The <i>Z</i>‐eigenvalues of a symmetric tensor and its application to spectral hypergraph theory	2013	Guoyin Li Liqun Qi Gaohang Yu	10
+ PDF Chat	Finding the Largest Eigenvalue of a Nonnegative Tensor	2009	Michael K. Ng Liqun Qi Guanglu Zhou	10
+	The degree of the E-characteristic polynomial of an even order tensor	2006	Guyan Ni Liqun Qi Fei Wang Yiju Wang	10
+	SDPT3 — A Matlab software package for semidefinite programming, Version 1.3	1999	Kim-Chuan Toh Michael J. Todd Reha Tütüncü	10
+	A nonsmooth version of Newton's method	1993	Liqun Qi Jie Sun	10
+	Optimization and Nonsmooth Analysis	1990	Frank H. Clarke	10
+	Global Optimization with Polynomials and the Problem of Moments	2001	Jean B. Lasserre	10
+	Finite-Dimensional Variational Inequalities and Complementarity Problems	2004	Francisco Facchinei Jong‐Shi Pang	9
+	Foundations of numerical multilinear algebra: decomposition and approximation of tensors	2007	Gene H. Golub Gunnar Carlsson Lek‐Heng Lim	9
+ PDF Chat	Higher Order Positive Semidefinite Diffusion Tensor Imaging	2010	Liqun Qi Gaohang Yu EX Wu	9
+ PDF Chat	Sums of Squares, Moment Matrices and Optimization Over Polynomials	2008	Monique Laurent	9
+	On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors	2002	Eleftherios Kofidis Phillip A. Regalia	9
+	Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones	1999	J.F. Sturm	9
+ PDF Chat	A Newton-CG Augmented Lagrangian Method for Semidefinite Programming	2010	Xinyuan Zhao Defeng Sun Kim-Chuan Toh	9
+	The number of eigenvalues of a tensor	2011	Dustin Cartwright Bernd Sturmfels	9
+	Eigenvectors of tensors and algorithms for Waring decomposition	2013	Luke Oeding Giorgio Ottaviani	9
+ PDF Chat	A generalization of the Motzkin–Straus theorem to hypergraphs	2008	Samuel Rota Bulò Marcello Pelillo	8
+	Convergence rate analysis for the higher order power method in best rank one approximations of tensors	2018	Shenglong Hu Guoyin Li	8
+ PDF Chat	Further Results for Perron–Frobenius Theorem for Nonnegative Tensors II	2011	Qingzhi Yang Yuning Yang	8
+	The Laplacian of a uniform hypergraph	2013	Shenglong Hu Liqun Qi	8
+	Symmetric nonnegative tensors and copositive tensors	2013	Liqun Qi	8
+ PDF Chat	SDPNAL $$+$$ + : a majorized semismooth Newton-CG augmented Lagrangian method for semidefinite programming with nonnegative constraints	2015	Liuqin Yang Defeng Sun Kim-Chuan Toh	8
+ PDF Chat	Symmetric Tensors and Symmetric Tensor Rank	2008	Pierre Comon Gene H. Golub Lek‐Heng Lim Bernard Mourrain	8
+	Primitivity, the Convergence of the NQZ Method, and the Largest Eigenvalue for Nonnegative Tensors	2011	Kung-Ching Chang K. PEARSON Tan Zhang	8
+ PDF Chat	The Number of Singular Vector Tuples and Uniqueness of Best Rank-One Approximation of Tensors	2014	Shmuel Friedland Giorgio Ottaviani	7
+ PDF Chat	E-characteristic polynomials of tensors	2013	An-Min Li Liqun Qi Bin Zhang	7
+ PDF Chat	Semidefinite Relaxations for Best Rank-1 Tensor Approximations	2014	Jiawang Nie Li Wang	7
+	Tensor rank is NP-complete	1990	Johan Håstad	7
+	Basic Algebraic Geometry 2	1994	Igor R. Shafarevich	7
+	Spectral Graph Theory	1996	Fan Chung	7
+	Semismoothness of the maximum eigenvalue function of a symmetric tensor and its application	2011	Guoyin Li Liqun Qi Gaohang Yu	7
+	Spectra of Graphs	2011	Andries E. Brouwer Willem H. Haemers	7
+	Lectures on Modern Convex Optimization	2001	Aharon Ben‐Tal Arkadi Nemirovski	7
+	Semidefinite programming relaxations for semialgebraic problems	2003	Pablo A. Parrilo	7
+ PDF Chat	Most Tensor Problems Are NP-Hard	2013	Christopher J. Hillar Lek‐Heng Lim	7
+	The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph	2014	Shenglong Hu Liqun Qi	7
+	Finite-Dimensional Variational Inequalities and Complementarity Problems	2004	Francisco Facchinei Jong‐Shi Pang	7