% csauthors.net - beta - BibTeX bibliography of Liqun Qi 001
@article{journals/computing/Qi81,
title = {Interval boxes of solutions of nonlinear systems.},
year = {1981},
journal = {Computing},
author = {{Liqun Qi 001}}
}
@article{journals/mor/Qi83,
title = {Complete Closedness of Maximal Monotone Operators.},
year = {1983},
journal = {Math. Oper. Res.},
author = {{Liqun Qi 001}}
}
@article{journals/mor/Qi87,
title = {The A-Forest Iteration Method for the Stochastic Generalized Transportation Problem.},
year = {1987},
journal = {Math. Oper. Res.},
author = {{Liqun Qi 001}}
}
@article{journals/mor/Qi88,
title = {Odd Submodular Functions, Dilworth Functions and Discrete Convex Functions.},
year = {1988},
journal = {Math. Oper. Res.},
author = {{Liqun Qi 001}}
}
@article{journals/mp/Qi88,
title = {Directed submodularity, ditroids and directed submodular flows.},
year = {1988},
journal = {Math. Program.},
author = {{Liqun Qi 001}}
}
@article{journals/mp/Qi91,
title = {Quasidifferentials and maximal normal operators.},
year = {1991},
journal = {Math. Program.},
author = {{Liqun Qi 001}}
}
@article{journals/ajc/GwanQ92,
title = {On facets of the three-index assignment polytope.},
year = {1992},
journal = {Australas. J Comb.},
author = {{Geena Gwan} and {Liqun Qi 001}}
}
@article{journals/mp/SunQ92,
title = {An interior point algorithm of O(Quadrat Root(m) absolute (ln epsilon)) iterations for C-convex programming.},
year = {1992},
journal = {Math. Program.},
author = {{Jie Sun 001} and {Liqun Qi 001}}
}
@article{journals/dam/BalasQ93,
title = {Linear-Time Separation Algorithms for the Three-Index Assignment Polytope.},
year = {1993},
journal = {Discret. Appl. Math.},
author = {{Egon Balas} and {Liqun Qi 001}}
}
@article{journals/mor/BirgeQ93,
title = {Semiregularity and Generalized Subdifferentials with Applications to Optimization.},
year = {1993},
journal = {Math. Oper. Res.},
author = {{John R. Birge} and {Liqun Qi 001}}
}
@article{journals/mor/Qi93,
title = {Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations.},
year = {1993},
journal = {Math. Oper. Res.},
author = {{Liqun Qi 001}}
}
@article{journals/mp/QiS93,
title = {A nonsmooth version of Newton's method.},
year = {1993},
journal = {Math. Program.},
author = {{Liqun Qi 001} and {Jie Sun 001}}
}
@article{journals/siamjo/PangQ93,
title = {Nonsmooth Equations: Motivation and Algorithms.},
year = {1993},
journal = {SIAM J. Optim.},
author = {{Jong-Shi Pang} and {Liqun Qi 001}}
}
@article{journals/coap/0001Q94,
title = {A parameterized Newton method and a quasi-Newton method for nonsmooth equations.},
year = {1994},
journal = {Comput. Optim. Appl.},
author = {{Xiaojun Chen 001} and {Liqun Qi 001}}
}
@article{journals/mp/Qi94,
title = {Superlinearly convergent approximate Newton methods for LC optimization problems.},
year = {1994},
journal = {Math. Program.},
author = {{Liqun Qi 001}}
}
@article{journals/mp/QiS94,
title = {A trust region algorithm for minimization of locally Lipschitzian functions.},
year = {1994},
journal = {Math. Program.},
author = {{Liqun Qi 001} and {Jie Sun 001}}
}
@article{journals/anor/BirgeQ95,
title = {Continuous approximation schemes for stochastic programs.},
year = {1995},
journal = {Ann. Oper. Res.},
author = {{John R. Birge} and {Liqun Qi 001}}
}
@article{journals/anor/QiW95,
title = {An SQP algorithm for extended linear-quadratic problems in stochastic programming.},
year = {1995},
journal = {Ann. Oper. Res.},
author = {{Liqun Qi 001} and {Robert S. Womersley}}
}
@article{journals/mor/PoliquinQ95,
title = {Iteration Functions in Some Nonsmooth Optimization Algorithms.},
year = {1995},
journal = {Math. Oper. Res.},
author = {{René Poliquin} and {Liqun Qi 001}}
}
@article{journals/siamjo/BirgeQ95,
title = {Subdifferential Convergence in Stochastic Programs.},
year = {1995},
journal = {SIAM J. Optim.},
author = {{John R. Birge} and {Liqun Qi 001}}
}
@article{journals/siamjo/Qi95,
title = {Trust Region Algorithms for Solving Nonsmooth Equations.},
year = {1995},
journal = {SIAM J. Optim.},
author = {{Liqun Qi 001}}
}
@article{journals/mp/QiC96,
title = {A preconditioning proximal Newton method for nondifferentiable convex optimization.},
year = {1996},
journal = {Math. Program.},
author = {{Liqun Qi 001} and {Xiaojun Chen 001}}
}
@article{journals/nla/NazarethQ96,
title = {Globalization of Newton's Method for Solving Non-linear Equations.},
year = {1996},
journal = {Numer. Linear Algebra Appl.},
author = {{John L. Nazareth} and {Liqun Qi 001}}
}
@article{journals/siamjo/FukushimaQ96,
title = {A Globally and Superlinearly Convergent Algorithm for Nonsmooth Convex Minimization.},
year = {1996},
journal = {SIAM J. Optim.},
author = {{Masao Fukushima} and {Liqun Qi 001}}
}
@article{journals/mor/QiJ97,
title = {Semismooth Karush-Kuhn-Tucker Equations and Convergence Analysis of Newton and Quasi-Newton Methods for Solving these Equations.},
year = {1997},
journal = {Math. Oper. Res.},
author = {{Liqun Qi 001} and {Houyuan Jiang}}
}
@article{journals/orl/Qi97,
title = {On superlinear convergence of quasi-Newton methods for nonsmooth equations.},
year = {1997},
journal = {Oper. Res. Lett.},
author = {{Liqun Qi 001}}
}
@article{journals/siamjo/0001NQ97,
title = {Convergence of Newton's Method for Singular Smooth and Nonsmooth Equations Using Adaptive Outer Inverses.},
year = {1997},
journal = {SIAM J. Optim.},
author = {{Xiaojun Chen 001} and {Zuhair Nashed} and {Liqun Qi 001}}
}
@article{journals/moc/ChenQS98,
title = {Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities.},
year = {1998},
journal = {Math. Comput.},
author = {{Xiaojun Chen 001} and {Liqun Qi 001} and {Defeng Sun}}
}
@article{journals/nm/PotraQS98,
title = {Secant methods for semismooth equations.},
year = {1998},
journal = {Numerische Mathematik},
author = {{Florian A. Potra} and {Liqun Qi 001} and {Defeng Sun}}
}
@article{journals/siamjo/JiangFQS98,
title = {A Trust Region Method for Solving Generalized Complementarity Problems.},
year = {1998},
journal = {SIAM J. Optim.},
author = {{Houyuan Jiang} and {Masao Fukushima} and {Liqun Qi 001} and {Defeng Sun}}
}
@article{journals/siamjo/MifflinSQ98,
title = {Quasi-Newton Bundle-Type Methods for Nondifferentiable Convex Optimization.},
year = {1998},
journal = {SIAM J. Optim.},
author = {{Robert Mifflin} and {Defeng Sun} and {Liqun Qi 001}}
}
@article{journals/coap/PolakQS99,
title = {First-Order Algorithms for Generalized Semi-Infinite Min-Max Problems.},
year = {1999},
journal = {Comput. Optim. Appl.},
author = {{Elijah Polak} and {Liqun Qi 001} and {Defeng Sun}}
}
@article{journals/coap/SunQ99,
title = {On NCP-Functions.},
year = {1999},
journal = {Comput. Optim. Appl.},
author = {{Defeng Sun} and {Liqun Qi 001}}
}
@article{journals/mp/FacchineiJQ99,
title = {A smoothing method for mathematical programs with equilibrium constraints.},
year = {1999},
journal = {Math. Program.},
author = {{Francisco Facchinei} and {Houyuan Jiang} and {Liqun Qi 001}}
}
@article{journals/mp/MifflinQS99,
title = {Properties of the Moreau-Yosida regularization of a piecewise C2 convex function.},
year = {1999},
journal = {Math. Program.},
author = {{Robert Mifflin} and {Liqun Qi 001} and {Defeng Sun}}
}
@article{journals/coap/FukushimaQ00,
title = {Introduction.},
year = {2000},
journal = {Comput. Optim. Appl.},
author = {{Masao Fukushima} and {Liqun Qi 001}}
}
@article{journals/moc/QiS00,
title = {Improving the convergence of non-interior point algorithms for nonlinear complementarity problems.},
year = {2000},
journal = {Math. Comput.},
author = {{Liqun Qi 001} and {Defeng Sun}}
}
@article{journals/mp/QiSZ00,
title = {A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities.},
year = {2000},
journal = {Math. Program.},
author = {{Liqun Qi 001} and {Defeng Sun} and {Guanglu Zhou}}
}
@article{journals/siamjo/QiQ00,
title = {A New QP-Free, Globally Convergent, Locally Superlinearly Convergent Algorithm For Inequality Constrained Optimization.},
year = {2000},
journal = {SIAM J. Optim.},
author = {{Houduo Qi} and {Liqun Qi 001}}
}
@article{journals/siamjo/QiW00,
title = {On the Constant Positive Linear Dependence Condition and Its Application to SQP Methods.},
year = {2000},
journal = {SIAM J. Optim.},
author = {{Liqun Qi 001} and {Zengxin Wei}}
}
@article{journals/siamjo/QiZ00,
title = {A Smoothing Newton Method for Minimizing a Sum of Euclidean Norms.},
year = {2000},
journal = {SIAM J. Optim.},
author = {{Liqun Qi 001} and {Guanglu Zhou}}
}
@article{journals/siamnum/0001NQ00,
title = {Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations.},
year = {2000},
journal = {SIAM J. Numer. Anal.},
author = {{Xiaojun Chen 001} and {Zuhair Nashed} and {Liqun Qi 001}}
}
@article{journals/jgo/HanLQQ01,
title = {Stability Analysis of Gradient-Based Neural Networks for Optimization Problems.},
year = {2001},
journal = {J. Glob. Optim.},
author = {{Qiaoming Han} and {Li-Zhi Liao} and {Houduo Qi} and {Liqun Qi 001}}
}
@article{journals/jgo/QiY01,
title = {A Globally and Superlinearly Convergent SQP Algorithm for Nonlinear Constrained Optimization.},
year = {2001},
journal = {J. Glob. Optim.},
author = {{Liqun Qi 001} and {Yu-Fei Yang}}
}
@article{journals/nm/DontchevQQ01,
title = {Convergence of Newton's method for convex best interpolation.},
year = {2001},
journal = {Numerische Mathematik},
author = {{Asen L. Dontchev} and {Houduo Qi} and {Liqun Qi 001}}
}
@article{journals/siamjo/PolakQS01,
title = {Second-Order Algorithms for Generalized Finite and Semi-Infinite Min-Max Problems.},
year = {2001},
journal = {SIAM J. Optim.},
author = {{Elijah Polak} and {Liqun Qi 001} and {Defeng Sun}}
}
@article{journals/siamjo/QiW01,
title = {Corrigendum: On the Constant Positive Linear Dependence Condition and Its Application to SQP Methods.},
year = {2001},
journal = {SIAM J. Optim.},
author = {{Liqun Qi 001} and {Zengxin Wei}}
}
@article{journals/siamjo/DontchevQQY02,
title = {A Newton Method for Shape-Preserving Spline Interpolation.},
year = {2002},
journal = {SIAM J. Optim.},
author = {{Asen L. Dontchev} and {Houduo Qi} and {Liqun Qi 001} and {Hongxia Yin}}
}
@article{journals/siamnum/GuLQZ02,
title = {Descent Directions of Quasi-Newton Methods for Symmetric Nonlinear Equations.},
year = {2002},
journal = {SIAM J. Numer. Anal.},
author = {{Guang-Ze Gu} and {Dong-Hui Li} and {Liqun Qi 001} and {Shu-Zi Zhou}}
}
@article{journals/coap/Qi03,
title = {Guest Editorial.},
year = {2003},
journal = {Comput. Optim. Appl.},
author = {{Liqun Qi 001}}
}
@article{journals/coap/QiY03,
title = {A Strongly Semismooth Integral Function and Its Application.},
year = {2003},
journal = {Comput. Optim. Appl.},
author = {{Liqun Qi 001} and {Hongxia Yin}}
}
@article{journals/jgo/QiT03,
title = {Multivariate Polynomial Minimization and Its Application in Signal Processing.},
year = {2003},
journal = {J. Glob. Optim.},
author = {{Liqun Qi 001} and {Kok Lay Teo}}
}
@article{journals/jgo/QiWZ03,
title = {Semismooth Newton Methods for Solving Semi-Infinite Programming Problems.},
year = {2003},
journal = {J. Glob. Optim.},
author = {{Liqun Qi 001} and {Soon-Yi Wu} and {Guanglu Zhou}}
}
@article{journals/nm/QiQ03,
title = {Finite termination of a dual Newton method for convex best C 1 interpolation and smoothing.},
year = {2003},
journal = {Numerische Mathematik},
author = {{Houduo Qi} and {Liqun Qi 001}}
}
@article{journals/siamjo/QiQS03,
title = {Solving Karush--Kuhn--Tucker Systems via the Trust Region and the Conjugate Gradient Methods.},
year = {2003},
journal = {SIAM J. Optim.},
author = {{Houduo Qi} and {Liqun Qi 001} and {Defeng Sun}}
}
@article{journals/siamjo/YangLQ03,
title = {A Feasible Sequential Linear Equation Method for Inequality Constrained Optimization.},
year = {2003},
journal = {SIAM J. Optim.},
author = {{Yu-Fei Yang} and {Dong-Hui Li} and {Liqun Qi 001}}
}
@article{journals/coap/LiFQY04,
title = {Regularized Newton Methods for Convex Minimization Problems with Singular Solutions.},
year = {2004},
journal = {Comput. Optim. Appl.},
author = {{Dong-Hui Li} and {Masao Fukushima} and {Liqun Qi 001} and {Nobuo Yamashita}}
}
@article{journals/jgo/ChenQQT04,
title = {Smooth Convex Approximation to the Maximum Eigenvalue Function.},
year = {2004},
journal = {J. Glob. Optim.},
author = {{Xin Chen} and {Houduo Qi} and {Liqun Qi 001} and {Kok Lay Teo}}
}
@article{journals/jgo/LiQTW04,
title = {A Smoothing Newton Method for Semi-Infinite Programming.},
year = {2004},
journal = {J. Glob. Optim.},
author = {{Dong-Hui Li} and {Liqun Qi 001} and {Judy Tam} and {Soon-Yi Wu}}
}
@article{journals/jgo/LiaoQQ04,
title = {Neurodynamical Optimization.},
year = {2004},
journal = {J. Glob. Optim.},
author = {{Li-Zhi Liao} and {Houduo Qi} and {Liqun Qi 001}}
}
@article{journals/jgo/Qi04,
title = {Extrema of a Real Polynomial.},
year = {2004},
journal = {J. Glob. Optim.},
author = {{Liqun Qi 001}}
}
@article{journals/mp/HuangQS04,
title = {Sub-quadratic convergence of a smoothing Newton algorithm for the P 0- and monotone LCP.},
year = {2004},
journal = {Math. Program.},
author = {{Zheng-Hai Huang} and {Liqun Qi 001} and {Defeng Sun}}
}
@article{journals/siamjo/QiWY04,
title = {Global Minimization of Normal Quartic Polynomials Based on Global Descent Directions.},
year = {2004},
journal = {SIAM J. Optim.},
author = {{Liqun Qi 001} and {Zhong Wan} and {Yu-Fei Yang}}
}
@article{journals/siamjo/SunSQ04,
title = {A Squared Smoothing Newton Method for Nonsmooth Matrix Equations and Its Applications in Semidefinite Optimization Problems.},
year = {2004},
journal = {SIAM J. Optim.},
author = {{Jie Sun 001} and {Defeng Sun} and {Liqun Qi 001}}
}
@article{journals/tnn/QiQ04,
title = {Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis.},
year = {2004},
journal = {IEEE Trans. Neural Networks},
author = {{Houduo Qi} and {Liqun Qi 001}}
}
@article{journals/amc/MoQW05,
title = {A manufacturing supply chain optimization model for distilling process.},
year = {2005},
journal = {Appl. Math. Comput.},
author = {{Jiangtao Mo} and {Liqun Qi 001} and {Zengxin Wei}}
}
@article{journals/anor/YangQ05,
title = {Smoothing Trust Region Methods for Nonlinear Complementarity Problems with P 0-Functions.},
year = {2005},
journal = {Ann. Oper. Res.},
author = {{Yu-Fei Yang} and {Liqun Qi 001}}
}
@article{journals/jgo/LiQT05,
title = {Special Issue of Journal of Global Optimization on Optimization Techniques and Applications.},
year = {2005},
journal = {J. Glob. Optim.},
author = {{Duan Li 002} and {Liqun Qi 001} and {Kok Lay Teo}}
}
@article{journals/jgo/LiaoQT05,
title = {A Gradient-based Continuous Method for Large-scale Optimization Problems.},
year = {2005},
journal = {J. Glob. Optim.},
author = {{Li-Zhi Liao} and {Liqun Qi 001} and {Hon Wah Tam}}
}
@article{journals/jsc/Qi05,
title = {Eigenvalues of a real supersymmetric tensor.},
year = {2005},
journal = {J. Symb. Comput.},
author = {{Liqun Qi 001}}
}
@article{journals/mp/QiSL05,
title = {Differentiability and semismoothness properties of integral functions and their applications.},
year = {2005},
journal = {Math. Program.},
author = {{Liqun Qi 001} and {Alexander Shapiro 001} and {Chen Ling 001}}
}
@article{journals/oms/WuLQZ05,
title = {An iterative method for solving KKT system of the semi-infinite programming.},
year = {2005},
journal = {Optim. Methods Softw.},
author = {{Soon-Yi Wu} and {Dong-Hui Li} and {Liqun Qi 001} and {Guanglu Zhou}}
}
@article{journals/tac/WangQ05,
title = {Comments on "Explicit criterion for the positive definiteness of a general quartic form".},
year = {2005},
journal = {IEEE Trans. Autom. Control.},
author = {{Fei Wang} and {Liqun Qi 001}}
}
@article{journals/tnn/GaoLQ05,
title = {A novel neural network for variational inequalities with linear and nonlinear constraints.},
year = {2005},
journal = {IEEE Trans. Neural Networks},
author = {{Xing-Bao Gao} and {Li-Zhi Liao} and {Liqun Qi 001}}
}
@article{journals/tnn/QiQY05,
title = {Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis-II.},
year = {2005},
journal = {IEEE Trans. Neural Networks},
author = {{Houduo Qi} and {Liqun Qi 001} and {Xiaoqi Yang 001}}
}
@article{journals/amc/WeiLQ06,
title = {New quasi-Newton methods for unconstrained optimization problems.},
year = {2006},
journal = {Appl. Math. Comput.},
author = {{Zengxin Wei} and {Guoyin Li 001} and {Liqun Qi 001}}
}
@article{journals/amc/WeiLQ06a,
title = {New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems.},
year = {2006},
journal = {Appl. Math. Comput.},
author = {{Zengxin Wei} and {Guoyin Li 001} and {Liqun Qi 001}}
}
@article{journals/coap/TongQY06,
title = {The Lagrangian Globalization Method for Nonsmooth Constrained Equations.},
year = {2006},
journal = {Comput. Optim. Appl.},
author = {{Xiaojiao Tong} and {Liqun Qi 001} and {Yu-Fei Yang}}
}
@article{journals/jco/LuYQ06,
title = {Some further results on minimum distribution cost flow problems.},
year = {2006},
journal = {J. Comb. Optim.},
author = {{Haiyan Lu} and {Enyu Yao} and {Liqun Qi 001}}
}
@article{journals/jco/ZhangZQ06,
title = {The shortest path improvement problems under Hamming distance.},
year = {2006},
journal = {J. Comb. Optim.},
author = {{Binwu Zhang} and {Jianzhong Zhang 001} and {Liqun Qi 001}}
}
@article{journals/jgo/Qi06,
title = {Boundedness and Regularity Properties of Semismooth Reformulations of Variational Inequalities.},
year = {2006},
journal = {J. Glob. Optim.},
author = {{Liqun Qi 001}}
}
@article{journals/jsc/Qi06,
title = {Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines.},
year = {2006},
journal = {J. Symb. Comput.},
author = {{Liqun Qi 001}}
}
@article{journals/mp/YinLQ06,
title = {Convergence rate of Newton's method for L2 spectral estimation.},
year = {2006},
journal = {Math. Program.},
author = {{Hongxia Yin} and {Chen Ling 001} and {Liqun Qi 001}}
}
@article{journals/orl/ZhouQ06,
title = {On the convergence of an inexact Newton-type method.},
year = {2006},
journal = {Oper. Res. Lett.},
author = {{Guanglu Zhou} and {Liqun Qi 001}}
}
@article{journals/siamjo/NiLQT06,
title = {A Truncated Projected Newton-Type Algorithm for Large-Scale Semi-infinite Programming.},
year = {2006},
journal = {SIAM J. Optim.},
author = {{Qin Ni} and {Chen Ling 001} and {Liqun Qi 001} and {Kok Lay Teo}}
}
@article{journals/jmiv/NgQYH07,
title = {On Semismooth Newton's Methods for Total Variation Minimization.},
year = {2007},
journal = {J. Math. Imaging Vis.},
author = {{Michael K. Ng 001} and {Liqun Qi 001} and {Yu-Fei Yang} and {Yu-Mei Huang}}
}
@article{journals/nla/WangQ07,
title = {On the successive supersymmetric rank-1 decomposition of higher-order supersymmetric tensors.},
year = {2007},
journal = {Numer. Linear Algebra Appl.},
author = {{Yiju Wang} and {Liqun Qi 001}}
}
@article{journals/moc/WeiLQ08,
title = {Global convergence of the Polak-Ribière-Polyak conjugate gradient method with an Armijo-type inexact line search for nonconvex unconstrained optimization problems.},
year = {2008},
journal = {Math. Comput.},
author = {{Zeng Xin Wei} and {Guoyin Li 001} and {Liqun Qi 001}}
}
@article{journals/neuroimage/HuiCQW08,
title = {Towards better MR characterization of neural tissues using directional diffusion kurtosis analysis.},
year = {2008},
journal = {NeuroImage},
author = {{Edward S. Hui} and {Matthew M. Cheung} and {Liqun Qi 001} and {Ed X. Wu}}
}
@article{journals/oms/HanQW08,
title = {Extreme diffusion values for non-Gaussian diffusions.},
year = {2008},
journal = {Optim. Methods Softw.},
author = {{Deren Han} and {Liqun Qi 001} and {Ed X. Wu}}
}
@article{journals/oms/LiQR08,
title = {A new class of quasi-Newton updating formulas.},
year = {2008},
journal = {Optim. Methods Softw.},
author = {{Dong-Hui Li} and {Liqun Qi 001} and {Vera Roshchina}}
}
@article{journals/orl/LingQZC08,
title = {The SC.},
year = {2008},
journal = {Oper. Res. Lett.},
author = {{Chen Ling 001} and {Liqun Qi 001} and {Guanglu Zhou} and {Louis Caccetta}}
}
@article{journals/siamnum/KelleyLQCRW08,
title = {Projected Pseudotransient Continuation.},
year = {2008},
journal = {SIAM J. Numer. Anal.},
author = {{C. T. Kelley} and {Li-Zhi Liao} and {Liqun Qi 001} and {Moody T. Chu} and {Jill P. Reese} and {C. Winton}}
}
@article{journals/tac/NiQW08,
title = {An Eigenvalue Method for Testing Positive Definiteness of a Multivariate Form.},
year = {2008},
journal = {IEEE Trans. Autom. Control.},
author = {{Qin Ni} and {Liqun Qi 001} and {Fei Wang}}
}
@article{journals/tcas/TongWQ08,
title = {Available Transfer Capability Calculation Using a Smoothing Pointwise Maximum Function.},
year = {2008},
journal = {IEEE Trans. Circuits Syst. I Regul. Pap.},
author = {{Xiaojiao Tong} and {Felix F. Wu} and {Liqun Qi 001}}
}
@article{journals/coap/QiLTZ09,
title = {A smoothing projected Newton-type algorithm for semi-infinite programming.},
year = {2009},
journal = {Comput. Optim. Appl.},
author = {{Liqun Qi 001} and {Chen Ling 001} and {Xiaojiao Tong} and {Guanglu Zhou}}
}
@article{journals/jmiv/YuQD09,
title = {On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration.},
year = {2009},
journal = {J. Math. Imaging Vis.},
author = {{Gaohang Yu} and {Liqun Qi 001} and {Yu-Hong Dai}}
}
@article{journals/jota/SunWQ09,
title = {Global Error Bound for the Generalized Linear Complementarity Problem over a Polyhedral Cone.},
year = {2009},
journal = {J. Optimization Theory and Applications},
author = {{Hongchun Sun} and {Yiju Wang} and {Liqun Qi 001}}
}
@article{journals/jota/YinWQ09,
title = {Shape-Preserving Interpolation and Smoothing for Options Market Implied Volatility.},
year = {2009},
journal = {J. Optimization Theory and Applications},
author = {{Hongxia Yin} and {Y. Wang} and {Liqun Qi 001}}
}
@article{journals/mp/QiWW09,
title = {Z-eigenvalue methods for a global polynomial optimization problem.},
year = {2009},
journal = {Math. Program.},
author = {{Liqun Qi 001} and {Fei Wang} and {Yiju Wang}}
}
@article{journals/neuroimage/CheungHCHQW09,
title = {Does diffusion kurtosis imaging lead to better neural tissue characterization? A rodent brain maturation study.},
year = {2009},
journal = {NeuroImage},
author = {{Matthew M. Cheung} and {Edward S. Hui} and {Kevin C. Chan} and {Joseph A. Helpern} and {Liqun Qi 001} and {Ed X. Wu}}
}
@article{journals/nla/WangQZ09,
title = {A practical method for computing the largest M-eigenvalue of a fourth-order partially symmetric tensor.},
year = {2009},
journal = {Numer. Linear Algebra Appl.},
author = {{Yiju Wang} and {Liqun Qi 001} and {Xinzhen Zhang}}
}
@article{journals/oms/TongWQ09,
title = {Worst-case CVaR based portfolio optimization models with applications to scenario planning.},
year = {2009},
journal = {Optim. Methods Softw.},
author = {{Xiaojiao Tong} and {Felix F. Wu} and {Liqun Qi 001}}
}
@article{journals/siamjo/LingNQY09,
title = {Biquadratic Optimization Over Unit Spheres and Semidefinite Programming Relaxations.},
year = {2009},
journal = {SIAM J. Optim.},
author = {{Chen Ling 001} and {Jiawang Nie} and {Liqun Qi 001} and {Yinyu Ye 001}}
}
@article{journals/siammax/NgQZ09,
title = {Finding the Largest Eigenvalue of a Nonnegative Tensor.},
year = {2009},
journal = {SIAM J. Matrix Anal. Appl.},
author = {{Michael K. P. Ng 001} and {Liqun Qi 001} and {Guanglu Zhou}}
}
@incollection{reference/opt/QiS09,
title = {Nonsmooth and Smoothing Methods for Nonlinear Complementarity Problems and Variational Inequalities.},
year = {2009},
booktitle = {Encyclopedia of Optimization},
author = {{Liqun Qi 001} and {Defeng Sun}},
publisher = {Springer},
booktitle = {Encyclopedia of Optimization, Second Edition}
}
@article{journals/amc/TongQWZ10,
title = {A smoothing method for solving portfolio optimization with CVaR and applications in allocation of generation asset.},
year = {2010},
journal = {Appl. Math. Comput.},
author = {{Xiaojiao Tong} and {Liqun Qi 001} and {Felix F. Wu} and {Hui Zhou}}
}
@article{journals/amc/ZhouSQ10,
title = {A nonmonotone globalization algorithm with preconditioned gradient path for unconstrained optimization.},
year = {2010},
journal = {Appl. Math. Comput.},
author = {{Qunyan Zhou} and {Wenyu Sun} and {Liqun Qi 001}}
}
@article{journals/apjor/ZhangSQ10,
title = {A Nonmonotone Filter Barzilai-Borwein Method for Optimization.},
year = {2010},
journal = {Asia Pac. J. Oper. Res.},
author = {{Yan Zhang} and {Wenyu Sun} and {Liqun Qi 001}}
}
@article{journals/ijcm/YangSQ10,
title = {Global convergence of a filter-trust-region algorithm for solving nonsmooth equations.},
year = {2010},
journal = {Int. J. Comput. Math.},
author = {{Zhenghao Yang} and {Wenyu Sun} and {Liqun Qi 001}}
}
@article{journals/jgo/LingNQW10,
title = {A new smoothing Newton-type algorithm for semi-infinite programming.},
year = {2010},
journal = {J. Glob. Optim.},
author = {{Chen Ling 001} and {Qin Ni} and {Liqun Qi 001} and {Soon-Yi Wu}}
}
@article{journals/jota/ChenQ10,
title = {Pseudotransient Continuation for Solving Systems of Nonsmooth Equations with Inequality Constraints.},
year = {2010},
journal = {J. Optim. Theory Appl.},
author = {{J. Chen} and {Liqun Qi 001}}
}
@article{journals/nla/ChenQ10,
title = {Globally and superlinearly convergent inexact Newton-Krylov algorithms for solving nonsmooth equations.},
year = {2010},
journal = {Numer. Linear Algebra Appl.},
author = {{Jinhai Chen} and {Liqun Qi 001}}
}
@article{journals/siamis/QiYW10,
title = {Higher Order Positive Semidefinite Diffusion Tensor Imaging.},
year = {2010},
journal = {SIAM J. Imaging Sci.},
author = {{Liqun Qi 001} and {Gaohang Yu} and {Ed X. Wu}}
}
@article{journals/sigpro/YuQSZ10,
title = {Impulse noise removal by a nonmonotone adaptive gradient method.},
year = {2010},
journal = {Signal Process.},
author = {{Gaohang Yu} and {Liqun Qi 001} and {Yimin Sun} and {Yi Zhou 005}}
}
@article{journals/appml/XuSQ11,
title = {A feasible direction method for the semidefinite program with box constraints.},
year = {2011},
journal = {Appl. Math. Lett.},
author = {{Yi Xu} and {Wenyu Sun} and {Liqun Qi 001}}
}
@article{journals/jcam/ChanCQRSS11,
title = {Preface.},
year = {2011},
journal = {J. Comput. Appl. Math.},
author = {{C. K. Chan} and {Xiaojun Chen 001} and {Liqun Qi 001} and {Colin Rogers} and {Zhong-Ci Shi} and {Ian H. Sloan}}
}
@article{journals/jgo/ZhangLQ11,
title = {Semidefinite relaxation bounds for bi-quadratic optimization problems with quadratic constraints.},
year = {2011},
journal = {J. Glob. Optim.},
author = {{Xinzhen Zhang} and {Chen Ling 001} and {Liqun Qi 001}}
}
@article{journals/siammax/Qi11,
title = {The Best Rank-One Approximation Ratio of a Tensor Space.},
year = {2011},
journal = {SIAM J. Matrix Anal. Appl.},
author = {{Liqun Qi 001}}
}
@article{journals/tsp/ChenHQ11,
title = {New ALS Methods With Extrapolating Search Directions and Optimal Step Size for Complex-Valued Tensor Decompositions.},
year = {2011},
journal = {IEEE Trans. Signal Process.},
author = {{Yannan Chen} and {Deren Han} and {Liqun Qi 001}}
}
@article{journals/coap/TongQWW12,
title = {A smoothing SQP method for nonlinear programs with stability constraints arising from power systems.},
year = {2012},
journal = {Comput. Optim. Appl.},
author = {{Xiaojiao Tong} and {Liqun Qi 001} and {Soon-Yi Wu} and {Felix F. Wu}}
}
@article{journals/jco/HuQ12,
title = {Algebraic connectivity of an even uniform hypergraph.},
year = {2012},
journal = {J. Comb. Optim.},
author = {{Sheng-Long Hu} and {Liqun Qi 001}}
}
@article{journals/jgo/BomzeLQZ12,
title = {Standard bi-quadratic optimization problems and unconstrained polynomial reformulations.},
year = {2012},
journal = {J. Glob. Optim.},
author = {{Immanuel M. Bomze} and {Chen Ling 001} and {Liqun Qi 001} and {Xinzhen Zhang}}
}
@article{journals/moc/ZhangQY12,
title = {The cubic spherical optimization problems.},
year = {2012},
journal = {Math. Comput.},
author = {{Xinzhen Zhang} and {Liqun Qi 001} and {Yinyu Ye 001}}
}
@article{journals/nla/LingZQ12,
title = {Semidefinite relaxation approximation for multivariate bi-quadratic optimization with quadratic constraints.},
year = {2012},
journal = {Numer. Linear Algebra Appl.},
author = {{Chen Ling 001} and {Xinzhen Zhang} and {Liqun Qi 001}}
}
@article{journals/nla/NgC0QLT12,
title = {Structured matrices and tensors.},
year = {2012},
journal = {Numer. Linear Algebra Appl.},
author = {{Michael K. Ng 001} and {Raymond H. Chan} and {Xiaojun Chen 001} and {Liqun Qi 001} and {Franklin T. Luk} and {Eugene Tyrtyshnikov}}
}
@article{journals/nla/ZhangQ12,
title = {Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor.},
year = {2012},
journal = {Numer. Linear Algebra Appl.},
author = {{Liping Zhang} and {Liqun Qi 001}}
}
@article{journals/siammax/ZhangLQ12,
title = {The Best Rank-1 Approximation of a Symmetric Tensor and Related Spherical Optimization Problems.},
year = {2012},
journal = {SIAM J. Matrix Anal. Appl.},
author = {{Xinzhen Zhang} and {Chen Ling 001} and {Liqun Qi 001}}
}
@article{journals/appml/HuQ13,
title = {The E-characteristic polynomial of a tensor of dimension 2.},
year = {2013},
journal = {Appl. Math. Lett.},
author = {{Sheng-Long Hu} and {Liqun Qi 001}}
}
@article{journals/jgo/TongLWQ13,
title = {Semi-infinite programming method for optimal power flow with transient stability and variable clearing time of faults.},
year = {2013},
journal = {J. Glob. Optim.},
author = {{Xiaojiao Tong} and {Chen Ling 001} and {Soon-Yi Wu} and {Liqun Qi 001}}
}
@article{journals/jmiv/QiYX13,
title = {Nonnegative Diffusion Orientation Distribution Function.},
year = {2013},
journal = {J. Math. Imaging Vis.},
author = {{Liqun Qi 001} and {Gaohang Yu} and {Yi Xu}}
}
@article{journals/jota/HuLQS13,
title = {Finding the Maximum Eigenvalue of Essentially Nonnegative Symmetric Tensors via Sum of Squares Programming.},
year = {2013},
journal = {J. Optim. Theory Appl.},
author = {{Sheng-Long Hu} and {Guoyin Li 001} and {Liqun Qi 001} and {Yisheng Song}}
}
@article{journals/jsc/HuHLQ13,
title = {On determinants and eigenvalue theory of tensors.},
year = {2013},
journal = {J. Symb. Comput.},
author = {{Sheng-Long Hu} and {Zheng-Hai Huang} and {Chen Ling 001} and {Liqun Qi 001}}
}
@article{journals/nla/ChangQZ13,
title = {A survey on the spectral theory of nonnegative tensors.},
year = {2013},
journal = {Numer. Linear Algebra Appl.},
author = {{Kung-Ching Chang} and {Liqun Qi 001} and {Tan Zhang}}
}
@article{journals/nla/HuHQ13,
title = {Finding the extreme Z-eigenvalues of tensors via a sequential semidefinite programming method.},
year = {2013},
journal = {Numer. Linear Algebra Appl.},
author = {{Sheng-Long Hu} and {Zheng-Hai Huang} and {Liqun Qi 001}}
}
@article{journals/nla/LiQY13,
title = {The Z-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory.},
year = {2013},
journal = {Numer. Linear Algebra Appl.},
author = {{Guoyin Li 001} and {Liqun Qi 001} and {Gaohang Yu}}
}
@article{journals/nla/LimNQ13,
title = {The spectral theory of tensors and its applications.},
year = {2013},
journal = {Numer. Linear Algebra Appl.},
author = {{Lek-Heng Lim} and {Michael K. Ng 001} and {Liqun Qi 001}}
}
@article{journals/nla/ZhangQLX13,
title = {The dominant eigenvalue of an essentially nonnegative tensor.},
year = {2013},
journal = {Numer. Linear Algebra Appl.},
author = {{Liping Zhang} and {Liqun Qi 001} and {Ziyan Luo} and {Yi Xu}}
}
@article{journals/nla/ZhouQW13,
title = {On the largest eigenvalue of a symmetric nonnegative tensor.},
year = {2013},
journal = {Numer. Linear Algebra Appl.},
author = {{Guanglu Zhou} and {Liqun Qi 001} and {Soon-Yi Wu}}
}
@article{journals/siammax/SongQ13,
title = {Spectral Properties of Positively Homogeneous Operators Induced by Higher Order Tensors.},
year = {2013},
journal = {SIAM J. Matrix Anal. Appl.},
author = {{Yisheng Song} and {Liqun Qi 001}}
}
@article{journals/amc/HuQ14,
title = {Convergence of a second order Markov chain.},
year = {2014},
journal = {Appl. Math. Comput.},
author = {{Sheng-Long Hu} and {Liqun Qi 001}}
}
@article{journals/coap/QiY14,
title = {Space tensor conic programming.},
year = {2014},
journal = {Comput. Optim. Appl.},
author = {{Liqun Qi 001} and {Yinyu Ye 001}}
}
@article{journals/coap/XueSQ14,
title = {An alternating structured trust region algorithm for separable optimization problems with nonconvex constraints.},
year = {2014},
journal = {Comput. Optim. Appl.},
author = {{Dan Xue} and {Wenyu Sun} and {Liqun Qi 001}}
}
@article{journals/coap/YangYQ14,
title = {Properties and methods for finding the best rank-one approximation to higher-order tensors.},
year = {2014},
journal = {Comput. Optim. Appl.},
author = {{Yuning Yang} and {Qingzhi Yang} and {Liqun Qi 001}}
}
@article{journals/dam/HuQ14,
title = {The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph.},
year = {2014},
journal = {Discret. Appl. Math.},
author = {{Sheng-Long Hu} and {Liqun Qi 001}}
}
@article{journals/ijsi/HuQSZ14,
title = {Geometric Measure of Quantum Entanglement for Multipartite Mixed States.},
year = {2014},
journal = {Int. J. Softw. Informatics},
author = {{Sheng-Long Hu} and {Liqun Qi 001} and {Yisheng Song} and {Guofeng Zhang 003}}
}
@article{journals/jota/YangYQ14,
title = {Approximation Bounds for Trilinear and Biquadratic Optimization Problems Over Nonconvex Constraints.},
year = {2014},
journal = {J. Optim. Theory Appl.},
author = {{Yuning Yang} and {Qingzhi Yang} and {Liqun Qi 001}}
}
@article{journals/jscic/XiaoWQ14,
title = {Nonmonotone Barzilai-Borwein Gradient Algorithm for ℓ1-Regularized Nonsmooth Minimization in Compressive Sensing.},
year = {2014},
journal = {J. Sci. Comput.},
author = {{Yunhai Xiao} and {Soon-Yi Wu} and {Liqun Qi 001}}
}
@article{journals/siammax/NiQB14,
title = {Geometric Measure of Entanglement and U-Eigenvalues of Tensors.},
year = {2014},
journal = {SIAM J. Matrix Anal. Appl.},
author = {{Guyan Ni} and {Liqun Qi 001} and {Minru Bai}}
}
@article{journals/siammax/QiXX14,
title = {Nonnegative Tensor Factorization, Completely Positive Tensors, and a Hierarchical Elimination Algorithm.},
year = {2014},
journal = {SIAM J. Matrix Anal. Appl.},
author = {{Liqun Qi 001} and {Changqing Xu} and {Yi Xu}}
}
@article{journals/siammax/ZhangQZ14,
title = {M-Tensors and Some Applications.},
year = {2014},
journal = {SIAM J. Matrix Anal. Appl.},
author = {{Liping Zhang} and {Liqun Qi 001} and {Guanglu Zhou}}
}
@article{journals/corr/ChenQW15,
title = {An Explicit SOS Decomposition of A Fourth Order Four Dimensional Hankel Tensor with A Symmetric Generating Vector.},
year = {2015},
journal = {CoRR},
author = {{Yannan Chen} and {Liqun Qi 001} and {Qun Wang}}
}
@article{journals/jco/HuQ15,
title = {The Laplacian of a uniform hypergraph.},
year = {2015},
journal = {J. Comb. Optim.},
author = {{Sheng-Long Hu} and {Liqun Qi 001}}
}
@article{journals/jgo/NiQ15,
title = {A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map.},
year = {2015},
journal = {J. Glob. Optim.},
author = {{Qin Ni} and {Liqun Qi 001}}
}
@article{journals/jota/SongQ15,
title = {Properties of Some Classes of Structured Tensors.},
year = {2015},
journal = {J. Optim. Theory Appl.},
author = {{Yisheng Song} and {Liqun Qi 001}}
}
@article{journals/nla/DingQW15,
title = {Fast Hankel tensor-vector product and its application to exponential data fitting.},
year = {2015},
journal = {Numer. Linear Algebra Appl.},
author = {{Weiyang Ding} and {Liqun Qi 001} and {Yiming Wei 001}}
}
@article{journals/amc/ChenLQ16,
title = {Further results on Cauchy tensors and Hankel tensors.},
year = {2016},
journal = {Appl. Math. Comput.},
author = {{Haibin Chen} and {Guoyin Li 001} and {Liqun Qi 001}}
}
@article{journals/coap/ChenQ16,
title = {A semismooth Newton method for tensor eigenvalue complementarity problem.},
year = {2016},
journal = {Comput. Optim. Appl.},
author = {{Zhongming Chen} and {Liqun Qi 001}}
}
@article{journals/coap/LingHQ16,
title = {On the cone eigenvalue complementarity problem for higher-order tensors.},
year = {2016},
journal = {Comput. Optim. Appl.},
author = {{Chen Ling 001} and {Hongjin He} and {Liqun Qi 001}}
}
@article{journals/coap/LingHQ16a,
title = {Higher-degree eigenvalue complementarity problems for tensors.},
year = {2016},
journal = {Comput. Optim. Appl.},
author = {{Chen Ling 001} and {Hongjin He} and {Liqun Qi 001}}
}
@article{journals/jcam/ChenQW16,
title = {Positive semi-definiteness and sum-of-squares property of fourth order four dimensional Hankel tensors.},
year = {2016},
journal = {J. Comput. Appl. Math.},
author = {{Yannan Chen} and {Liqun Qi 001} and {Qun Wang}}
}
@article{journals/jco/LiSQ16,
title = {The extremal spectral radii of k -uniform supertrees.},
year = {2016},
journal = {J. Comb. Optim.},
author = {{Honghai Li} and {Jia-Yu Shao} and {Liqun Qi 001}}
}
@article{journals/jgo/SongQ16,
title = {Eigenvalue analysis of constrained minimization problem for homogeneous polynomial.},
year = {2016},
journal = {J. Glob. Optim.},
author = {{Yisheng Song} and {Liqun Qi 001}}
}
@article{journals/jota/CheQW16,
title = {Positive-Definite Tensors to Nonlinear Complementarity Problems.},
year = {2016},
journal = {J. Optim. Theory Appl.},
author = {{Maolin Che} and {Liqun Qi 001} and {Yiming Wei 001}}
}
@article{journals/jota/HuLQ16,
title = {A Tensor Analogy of Yuan's Theorem of the Alternative and Polynomial Optimization with Sign structure.},
year = {2016},
journal = {J. Optim. Theory Appl.},
author = {{Sheng-Long Hu} and {Guoyin Li 001} and {Liqun Qi 001}}
}
@article{journals/jota/SongQ16,
title = {Tensor Complementarity Problem and Semi-positive Tensors.},
year = {2016},
journal = {J. Optim. Theory Appl.},
author = {{Yisheng Song} and {Liqun Qi 001}}
}
@article{journals/jscic/ChenQW16,
title = {Computing Extreme Eigenvalues of Large Scale Hankel Tensors.},
year = {2016},
journal = {J. Sci. Comput.},
author = {{Yannan Chen} and {Liqun Qi 001} and {Qun Wang}}
}
@article{journals/siammax/HuQ16,
title = {A Necessary and Sufficient Condition for Existence of a Positive Perron Vector.},
year = {2016},
journal = {SIAM J. Matrix Anal. Appl.},
author = {{Sheng-Long Hu} and {Liqun Qi 001}}
}
@article{journals/siammax/LuoQ16,
title = {Completely Positive Tensors: Properties, Easily Checkable Subclasses, and Tractable Relaxations.},
year = {2016},
journal = {SIAM J. Matrix Anal. Appl.},
author = {{Ziyan Luo} and {Liqun Qi 001}}
}
@article{journals/siammax/ZhangHQ16,
title = {Comon's Conjecture, Rank Decomposition, and Symmetric Rank Decomposition of Symmetric Tensors.},
year = {2016},
journal = {SIAM J. Matrix Anal. Appl.},
author = {{Xinzhen Zhang} and {Zheng-Hai Huang} and {Liqun Qi 001}}
}
@article{journals/siamsc/ChangCQ16,
title = {Computing Eigenvalues of Large Scale Sparse Tensors Arising from a Hypergraph.},
year = {2016},
journal = {SIAM J. Sci. Comput.},
author = {{Jingya Chang} and {Yannan Chen} and {Liqun Qi 001}}
}
@article{journals/coap/HuangQ17,
title = {Formulating an n-person noncooperative game as a tensor complementarity problem.},
year = {2017},
journal = {Comput. Optim. Appl.},
author = {{Zheng-Hai Huang} and {Liqun Qi 001}}
}
@article{journals/jcam/CheQW17,
title = {Iterative algorithms for computing US- and U-eigenpairs of complex tensors.},
year = {2017},
journal = {J. Comput. Appl. Math.},
author = {{Maolin Che} and {Liqun Qi 001} and {Yiming Wei 001}}
}
@article{journals/jota/ChenHQ17,
title = {Copositivity Detection of Tensors: Theory and Algorithm.},
year = {2017},
journal = {J. Optim. Theory Appl.},
author = {{Haibin Chen} and {Zheng-Hai Huang} and {Liqun Qi 001}}
}
@article{journals/na/LiLQ17,
title = {Programmable criteria for strong ℋ-tensors.},
year = {2017},
journal = {Numer. Algorithms},
author = {{Yaotang Li} and {Qilong Liu} and {Liqun Qi 001}}
}
@article{journals/ol/LingHQ17,
title = {Improved approximation results on standard quartic polynomial optimization.},
year = {2017},
journal = {Optim. Lett.},
author = {{Chen Ling 001} and {Hongjin He} and {Liqun Qi 001}}
}
@article{journals/ol/LuoQX17,
title = {The sparsest solutions to Z-tensor complementarity problems.},
year = {2017},
journal = {Optim. Lett.},
author = {{Ziyan Luo} and {Liqun Qi 001} and {Naihua Xiu}}
}
@article{journals/ol/SongQ17,
title = {Strictly semi-positive tensors and the boundedness of tensor complementarity problems.},
year = {2017},
journal = {Optim. Lett.},
author = {{Yisheng Song} and {Liqun Qi 001}}
}
@article{journals/siamsc/ChenQZ17,
title = {The Fiedler Vector of a Laplacian Tensor for Hypergraph Partitioning.},
year = {2017},
journal = {SIAM J. Sci. Comput.},
author = {{Yannan Chen} and {Liqun Qi 001} and {Xiaoyan Zhang}}
}
@article{journals/amc/KangLQY18,
title = {Spectral radii of two kinds of uniform hypergraphs.},
year = {2018},
journal = {Appl. Math. Comput.},
author = {{Liying Kang} and {Lele Liu} and {Liqun Qi 001} and {Xi-Ying Yuan}}
}
@article{journals/coap/ChenHQ18,
title = {Copositive tensor detection and its applications in physics and hypergraphs.},
year = {2018},
journal = {Comput. Optim. Appl.},
author = {{Haibin Chen} and {Zheng-Hai Huang} and {Liqun Qi 001}}
}
@article{journals/dam/YuanQSO18,
title = {Some properties and applications of odd-colorable -hypergraphs.},
year = {2018},
journal = {Discret. Appl. Math.},
author = {{Xi-Ying Yuan} and {Liqun Qi 001} and {Jia-Yu Shao} and {Chen Ouyang}}
}
@article{journals/ijon/CheQWZ18,
title = {Geometric measures of entanglement in multipartite pure states via complex-valued neural networks.},
year = {2018},
journal = {Neurocomputing},
author = {{Maolin Che} and {Liqun Qi 001} and {Yiming Wei 001} and {Guofeng Zhang 003}}
}
@article{journals/jcam/HuangQ18,
title = {Positive definiteness of paired symmetric tensors and elasticity tensors.},
year = {2018},
journal = {J. Comput. Appl. Math.},
author = {{Zheng-Hai Huang} and {Liqun Qi 001}}
}
@article{journals/jgo/CuiLQY18,
title = {A quadratic penalty method for hypergraph matching.},
year = {2018},
journal = {J. Glob. Optim.},
author = {{Chunfeng Cui} and {Qingna Li} and {Liqun Qi 001} and {Hong Yan 001}}
}
@article{journals/jota/WangHQ18,
title = {Global Uniqueness and Solvability of Tensor Variational Inequalities.},
year = {2018},
journal = {J. Optim. Theory Appl.},
author = {{Yong Wang} and {Zheng-Hai Huang} and {Liqun Qi 001}}
}
@article{journals/jscic/ChangDQY18,
title = {Computing the p-Spectral Radii of Uniform Hypergraphs with Applications.},
year = {2018},
journal = {J. Sci. Comput.},
author = {{Jingya Chang} and {Weiyang Ding} and {Liqun Qi 001} and {Hong Yan 001}}
}
@article{journals/jscic/HeLQZ18,
title = {A Globally and Quadratically Convergent Algorithm for Solving Multilinear Systems with ℳ-tensors.},
year = {2018},
journal = {J. Sci. Comput.},
author = {{Hongjin He} and {Chen Ling 001} and {Liqun Qi 001} and {Guanglu Zhou}}
}
@article{journals/nla/ChenCLQ18,
title = {A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test.},
year = {2018},
journal = {Numer. Linear Algebra Appl.},
author = {{Haibin Chen} and {Yannan Chen} and {Guoyin Li 001} and {Liqun Qi 001}}
}
@article{journals/nla/ZhouWQA18,
title = {A fast algorithm for the spectral radii of weakly reducible nonnegative tensors.},
year = {2018},
journal = {Numer. Linear Algebra Appl.},
author = {{Guanglu Zhou} and {Gang Wang} and {Liqun Qi 001} and {Mohammed Alqahtani}}
}
@article{journals/corr/abs-1909-01529,
title = {Spectral Norm and Nuclear Norm of a Third Order Tensor.},
year = {2019},
journal = {CoRR},
author = {{Liqun Qi 001} and {Shenglong Hu}}
}
@article{journals/corr/abs-1909-10942,
title = {Nuclear Norm and Spectral Norm of Tensor Product.},
year = {2019},
journal = {CoRR},
author = {{Liqun Qi 001} and {Shenglong Hu} and {Xinzhen Zhang}}
}
@article{journals/corr/abs-1909-13451,
title = {Biquadratic Tensors, Biquadratic Decomposition and Norms of Biquadratic Tensors.},
year = {2019},
journal = {CoRR},
author = {{Liqun Qi 001} and {Shenglong Hu} and {Xinzhen Zhang}}
}
@article{journals/jota/HuangQ19,
title = {Tensor Complementarity Problems - Part I: Basic Theory.},
year = {2019},
journal = {J. Optim. Theory Appl.},
author = {{Zheng-Hai Huang} and {Liqun Qi 001}}
}
@article{journals/jota/HuangQ19a,
title = {Tensor Complementarity Problems - Part III: Applications.},
year = {2019},
journal = {J. Optim. Theory Appl.},
author = {{Zheng-Hai Huang} and {Liqun Qi 001}}
}
@article{journals/jota/QiH19,
title = {Tensor Complementarity Problems - Part II: Solution Methods.},
year = {2019},
journal = {J. Optim. Theory Appl.},
author = {{Liqun Qi 001} and {Zheng-Hai Huang}}
}
@article{journals/mam/HuangKDMCQY19,
title = {High performance hardware architecture for singular spectrum analysis of Hankel tensors.},
year = {2019},
journal = {Microprocess. Microsystems},
author = {{Wei-pei Huang} and {Bowen P. Y. Kwan} and {Weiyang Ding} and {Biao Min} and {Ray C. C. Cheung} and {Liqun Qi 001} and {Hong Yan 001}}
}
@article{journals/ol/CheQW19,
title = {Stochastic \$\$R_0\$\$ R 0 tensors to stochastic tensor complementarity problems.},
year = {2019},
journal = {Optim. Lett.},
author = {{Maolin Che} and {Liqun Qi 001} and {Yiming Wei 001}}
}
@article{journals/spic/XuQS19,
title = {On semi-definiteness and minimal H-eigenvalue of a symmetric space tensor using nonnegative polynomial optimization techniques.},
year = {2019},
journal = {Signal Process. Image Commun.},
author = {{Yi Xu} and {Liqun Qi 001} and {Wenyu Sun}}
}
@article{journals/tcbb/WangC00Z19,
title = {DrPOCS: Drug Repositioning Based on Projection Onto Convex Sets.},
year = {2019},
journal = {IEEE ACM Trans. Comput. Biol. Bioinform.},
author = {{Yin-Ying Wang} and {Chunfeng Cui} and {Liqun Qi 001} and {Hong Yan 001} and {Xing-Ming Zhao}}
}
@article{journals/amc/DingLQY20,
title = {Elasticity M-tensors and the strong ellipticity condition.},
year = {2020},
journal = {Appl. Math. Comput.},
author = {{Weiyang Ding} and {Jinjie Liu} and {Liqun Qi 001} and {Hong Yan 001}}
}
@article{journals/apjor/Huang020,
title = {Stationary Probability Vectors of Higher-Order Two-Dimensional Symmetric Transition Probability Tensors.},
year = {2020},
journal = {Asia Pac. J. Oper. Res.},
author = {{Zheng-Hai Huang} and {Liqun Qi 001}}
}
@article{journals/coap/MingZQ20,
title = {Expected residual minimization method for monotone stochastic tensor complementarity problem.},
year = {2020},
journal = {Comput. Optim. Appl.},
author = {{Zhenyu Ming} and {Liping Zhang} and {Liqun Qi 001}}
}
@article{journals/corr/abs-2004-11240,
title = {A Tensor Rank Theory, Full Rank Tensors and The Sub-Full-Rank Property.},
year = {2020},
journal = {CoRR},
author = {{Liqun Qi 001} and {Xinzhen Zhang} and {Yannan Chen}}
}
@article{journals/corr/abs-2005-09838,
title = {A Parallelizable Method for Missing Internet Traffic Tensor Data.},
year = {2020},
journal = {CoRR},
author = {{Chen Ling 001} and {Gaohang Yu} and {Liqun Qi 001} and {Yanwei Xu}}
}
@article{journals/corr/abs-2010-00359,
title = {Low-Rank and Sparse Enhanced Tucker Decomposition for Tensor Completion.},
year = {2020},
journal = {CoRR},
author = {{Chenjian Pan} and {Chen Ling 001} and {Hongjin He} and {Liqun Qi 001} and {Yanwei Xu}}
}
@article{journals/oms/WangCQW20,
title = {Modified gradient dynamic approach to the tensor complementarity problem.},
year = {2020},
journal = {Optim. Methods Softw.},
author = {{Xuezhong Wang} and {Maolin Che} and {Liqun Qi 001} and {Yiming Wei 001}}
}
@article{journals/siamis/ChangCQY20,
title = {Hypergraph Clustering Using a New Laplacian Tensor with Applications in Image Processing.},
year = {2020},
journal = {SIAM J. Imaging Sci.},
author = {{Jingya Chang} and {Yannan Chen} and {Liqun Qi 001} and {Hong Yan 001}}
}
@article{journals/coap/LingY0X21,
title = {T-product factorization method for internet traffic data completion with spatio-temporal regularization.},
year = {2021},
journal = {Comput. Optim. Appl.},
author = {{Chen Ling 001} and {Gaohang Yu} and {Liqun Qi 001} and {Yanwei Xu}}
}
@article{journals/corr/abs-2103-00976,
title = {T-Singular Values and T-Sketching for Third Order Tensors.},
year = {2021},
journal = {CoRR},
author = {{Liqun Qi 001} and {Gaohang Yu}}
}
@article{journals/corr/abs-2103-17259,
title = {Orthogonal Equivalence, Singular Values and T-Rank of Third Order Tensors.},
year = {2021},
journal = {CoRR},
author = {{Liqun Qi 001} and {Chen Ling 001} and {Jinejie Liu} and {Chen Ouyang}}
}
@article{journals/corr/abs-2104-05329,
title = {ST-SVD Factorization and s-Diagonal Tensors.},
year = {2021},
journal = {CoRR},
author = {{Chen Ling 001} and {Jinjie Liu} and {Chen Ouyang} and {Liqun Qi 001}}
}
@article{journals/corr/abs-2105-00793,
title = {Tubal Matrix Analysis.},
year = {2021},
journal = {CoRR},
author = {{Liqun Qi 001}}
}
@article{journals/corr/abs-2110-09298,
title = {A DCT-based Tensor Completion Approach for Recovering Color Images and Videos from Highly Undersampled Data.},
year = {2021},
journal = {CoRR},
author = {{Chenjian Pan} and {Chen Ling 001} and {Hongjin He} and {Liqun Qi 001} and {Yanwei Xu}}
}
@article{journals/ijon/YuLQX21,
title = {SLRTA: A sparse and low-rank tensor-based approach to internet traffic anomaly detection.},
year = {2021},
journal = {Neurocomputing},
author = {{Xiaotong Yu} and {Ziyan Luo} and {Liqun Qi 001} and {Yanwei Xu}}
}
@article{journals/jscic/ChenZQX21,
title = {A Barzilai-Borwein Gradient Algorithm for Spatio-Temporal Internet Traffic Data Completion via Tensor Triple Decomposition.},
year = {2021},
journal = {J. Sci. Comput.},
author = {{Yannan Chen} and {Xinzhen Zhang} and {Liqun Qi 001} and {Yanwei Xu}}
}
@article{journals/siammax/QiCBZ21,
title = {Triple Decomposition and Tensor Recovery of Third Order Tensors.},
year = {2021},
journal = {SIAM J. Matrix Anal. Appl.},
author = {{Liqun Qi 001} and {Yannan Chen} and {Mayank Bakshi} and {Xinzhen Zhang}}
}
@article{journals/apjor/ChangLQ22,
title = {Tensor Manifold with Tucker Rank Constraints.},
year = {2022},
journal = {Asia Pac. J. Oper. Res.},
author = {{Shih Yu Chang} and {Ziyan Luo} and {Liqun Qi 001}}
}
@article{journals/corr/abs-2201-12781,
title = {Low Rank Approximation of Dual Complex Matrices.},
year = {2022},
journal = {CoRR},
author = {{Liqun Qi 001} and {David M. Alexander} and {Zhongming Chen} and {Chen Ling 001} and {Ziyan Luo}}
}
@article{journals/corr/abs-2203-03161,
title = {Minimax principle for right eigenvalues of dual quaternion matrices and their generalized inverses.},
year = {2022},
journal = {CoRR},
author = {{Chen Ling 001} and {Liqun Qi 001} and {Hong Yan 001}}
}
@article{journals/corr/abs-2205-03380,
title = {Multi-mode Tensor Train Factorization with Spatial-spectral Regularization for Remote Sensing Images Recovery.},
year = {2022},
journal = {CoRR},
author = {{Gaohang Yu} and {Shaochun Wan} and {Liqun Qi 001} and {Yanwei Xu}}
}
@article{journals/corr/abs-2209-07870,
title = {A regularization-patching dual quaternion optimization method for solving the hand-eye calibration problem.},
year = {2022},
journal = {CoRR},
author = {{Zhongming Chen} and {Chen Ling 001} and {Liqun Qi 001} and {Hong Yan}}
}
@article{journals/jota/QiLWZ22,
title = {Quaternion Matrix Optimization: Motivation and Analysis.},
year = {2022},
journal = {J. Optim. Theory Appl.},
author = {{Liqun Qi 001} and {Ziyan Luo} and {Qing-Wen Wang 001} and {Xinzhen Zhang}}
}
@article{journals/oms/ChenQWZ22,
title = {Further results on sum-of-squares tensors.},
year = {2022},
journal = {Optim. Methods Softw.},
author = {{Haibin Chen} and {Liqun Qi 001} and {Yiju Wang} and {Guanglu Zhou}}
}
@article{journals/corr/abs-2304-04355,
title = {A Power Method for Computing the Dominant Eigenvalue of a Dual Quaternion Hermitian Matrix.},
year = {2023},
journal = {CoRR},
author = {{Chunfeng Cui} and {Liqun Qi 001}}
}
@article{journals/corr/abs-2308-01480,
title = {A Randomized Block Krylov Method for Tensor Train Approximation.},
year = {2023},
journal = {CoRR},
author = {{Gaohang Yu} and {Jinhong Feng} and {Zhongming Chen} and {Xiaohao Cai} and {Liqun Qi 001}}
}
@article{journals/corr/abs-2309-08093,
title = {Low-rank Tensor Train Decomposition Using TensorSketch.},
year = {2023},
journal = {CoRR},
author = {{Zhongming Chen} and {Huilin Jiang} and {Gaohang Yu} and {Liqun Qi 001}}
}
@article{journals/nla/CuiLQY23,
title = {The analytic connectivity in uniform hypergraphs: Properties and computation.},
year = {2023},
month = {March},
journal = {Numer. Linear Algebra Appl.},
author = {{Chunfeng Cui} and {Ziyan Luo} and {Liqun Qi 001} and {Hong Yan 001}}
}
@article{journals/jscic/DongYQC23,
title = {Practical Sketching Algorithms for Low-Rank Tucker Approximation of Large Tensors.},
year = {2023},
month = {May},
journal = {J. Sci. Comput.},
author = {{Wandi Dong} and {Gaohang Yu} and {Liqun Qi 001} and {Xiaohao Cai}}
}
@article{journals/nla/YuZCQ23,
title = {Low Tucker rank tensor completion using a symmetric block coordinate descent method.},
year = {2023},
month = {May},
journal = {Numer. Linear Algebra Appl.},
author = {{Quan Yu} and {Xinzhen Zhang} and {Yannan Chen} and {Liqun Qi 001}}
}
@article{journals/apjor/QiSZ23,
title = {Copositivity of Three-Dimensional Symmetric Tensors.},
year = {2023},
month = {June},
journal = {Asia Pac. J. Oper. Res.},
author = {{Liqun Qi 001} and {Yisheng Song} and {Xinzhen Zhang}}
}
@article{journals/coap/LuoQ23,
title = {Optimality conditions for Tucker low-rank tensor optimization.},
year = {2023},
month = {December},
journal = {Comput. Optim. Appl.},
author = {{Ziyan Luo} and {Liqun Qi 001}}
}
@article{journals/jota/Chen00024,
title = {A Regularization-Patching Dual Quaternion Optimization Method for Solving the Hand-Eye Calibration Problem.},
year = {2024},
journal = {J. Optim. Theory Appl.},
author = {{Zhongming Chen} and {Chen Ling 001} and {Liqun Qi 001} and {Hong Yan 001}}
}
@article{journals/amc/PanLHQX24,
title = {A low-rank and sparse enhanced Tucker decomposition approach for tensor completion.},
year = {2024},
month = {March},
journal = {Appl. Math. Comput.},
author = {{Chenjian Pan} and {Chen Ling 001} and {Hongjin He} and {Liqun Qi 001} and {Yanwei Xu}}
}