On the nonlinear matrix equation X+A*X-qA=Q(q≥1). - Xue-Feng Duan; An-ping Liao (Math. Comput. Model., 2009)

Thompson metric method for solving a class of nonlinear matrix equation. - An-ping Liao; Guozhu Yao; Xue-Feng Duan (Appl. Math. Comput., 2010)

Numerical solutions of AXB = C for mirrorsymmetric matrix X under a specified submatrix constraint. - Jiao-Fen Li; Xi-Yan Hu; Xue-Feng Duan; Lei Zhang 010 (Computing, 2010)

Solutions and perturbation analysis for the nonlinear matrix equation X + Σmi=1Ai*X-1Ai = I. - Xuefeng Duan; Chunmei Li; An-ping Liao (Appl. Math. Comput., 2011)

Positive definite solution of the matrix equation X=Q+AH(IÄX-C)dA. - Guozhu Yao; An-ping Liao; Xuefeng Duan (Numer. Algorithms, 2011)

Perturbation Analysis for the Matrix Equation X - Σi=1m Ai* X Ai + Σj=1n Bj* X Bj = I. - Xue-Feng Duan; Qing-Wen Wang 001 (J. Appl. Math., 2012)

On two classes of mixed-type Lyapunov equations. - Xuefeng Duan; Chunmei Li; An-ping Liao; Ronghao Wang (Appl. Math. Comput., 2013)

On solutions of the quaternion matrix equation AX=BAX=B and their applications in color image restoration. - Shi-Fang Yuan; Qing-Wen Wang 001; Xue-Feng Duan (Appl. Math. Comput., 2013)

Low rank approximation of the symmetric positive semidefinite matrix. - Xuefeng Duan; Jiao-Fen Li; Qingwen Wang 001; Xinjun Zhang (J. Comput. Appl. Math., 2014)

A Class of Weighted Low Rank Approximation of the Positive Semidefinite Hankel Matrix. - Jianchao Bai; Xuefeng Duan; Kexin Cheng; Xuewei Zhang (J. Appl. Math., 2015)

On the low rank solution of the Q-weighted nearest correlation matrix problem. - Xue-Feng Duan; Jianchao Bai; Jiao-Fen Li; Jing-Jing Peng (Numer. Linear Algebra Appl., 2016)

Numerical methods for solving some matrix feasibility problems. - Xue-Feng Duan; Chunmei Li; Jiao-Fen Li; Yong Ding 005 (Numer. Algorithms, 2017)

Newton's method for solving the tensor square root problem. - Xue-Feng Duan; Cun-Yun Wang; Chunmei Li (Appl. Math. Lett., 2019)

Iterative algorithm for solving a class of convex feasibility problem. - Chunmei Li; Xuefeng Duan; Linzhang Lu; Qingwen Wang 001; Shuqian Shen (J. Comput. Appl. Math., 2019)

Numerical algorithms for solving discrete Lyapunov tensor equation. - Tao Li 047; Qing-Wen Wang 001; Xue-Feng Duan (J. Comput. Appl. Math., 2020)

Construction of quantum states with special properties by projection methods. - Xuefeng Duan; Chi-Kwong Li; Diane Christine Pelejo (Quantum Inf. Process., 2020)

Newton's method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils. - Jiao-Fen Li; Wen Li 006; Xue-Feng Duan; Mingqing Xiao 001 (Adv. Comput. Math., 2021)

An image encryption scheme based on double chaotic cyclic shift and Josephus problem. - Rui Wang; Guoqiang Deng; Xue-Feng Duan (J. Inf. Secur. Appl., 2021)

Numerical method for the generalized nonnegative tensor factorization problem. - Xue-Feng Duan; Juan Li; Shan-Qi Duan; Qing-Wen Wang 001 (Numer. Algorithms, 2021)

An efficient algorithm for solving the nonnegative tensor least squares problem. - Xue-Feng Duan; Shan-Qi Duan; Juan Li; Jiao-Fen Li; Qing-Wen Wang 001 (Numer. Linear Algebra Appl., 2021)

A trust-region method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils. - Jiao-Fen Li; Kai Wang; Yue-yuan Liu; Xue-Feng Duan; Xue-lin Zhou (Numer. Linear Algebra Appl., 2021)

A New Tensor Multi-rank Approximation with Total Variation Regularization for Tensor Completion. - Shan-Qi Duan; Xue-Feng Duan; Xi-Le Zhao (J. Sci. Comput., 2022)

Constructing Dixon Matrix for Sparse Polynomial Equations Based on Hybrid and Heuristics Scheme. - Guoqiang Deng; Niuniu Qi; Min Tang; Xuefeng Duan (Symmetry, 2022)

Riemannian conjugate gradient method for low-rank tensor completion. - Shan-Qi Duan; Xue-Feng Duan; Chunmei Li; Jiao-Fen Li (Adv. Comput. Math., 2023)

On Rayleigh Quotient Iteration for Dual Quaternion Hermitian Eigenvalue Problem. - Shan-Qi Duan; Qing-Wen Wang 001; Xue-Feng Duan (CoRR, 2023)

Non-interactive and privacy-preserving neural network learning using functional encryption. - Guoqiang Deng; Xuefeng Duan; Min Tang; Yuhao Zhang; Ying Huang (Future Gener. Comput. Syst., 2023)

Specifying cycles of minimal length for commonly used linear layers in block ciphers. - Guoqiang Deng; Yongzhuang Wei; Xuefeng Duan; Enes Pasalic; Samir Hodzic (J. Inf. Secur. Appl., 2024)

The shifted inner-outer iteration methods for solving Sylvester matrix equations. - Zhaolu Tian; Yudong Wang 004; Yinghui Dong; Xuefeng Duan (J. Frankl. Inst., 2024)

The parameterized accelerated iteration method for solving the matrix equation AXB=C. - Zhaolu Tian; Xuefeng Duan; Nian-Ci Wu; Zhongyun Liu (Numer. Algorithms, 2024)

Efficient multi-party privacy preserving federated k-means based on homomorphic encryption. - Zeng-Ao Tang; Xue-Feng Duan; Rong-Hua Liang; Yong Ding (Inf. Sci., 2025)

A hybrid Newton's method for solving tensor square root problem. - Lixia Liu; Yongjuan Gao; Xuefeng Duan; Chunfeng Wang; Sanyang Liu (J. Appl. Math. Comput., 2025)

Riemannian Accelerated Spectral Conjugate Gradient Method for the Tensor Completion Arising in the Color Image Restoration. - Xue-Feng Duan; Hui-Yan Peng; Yu-Xing Wei; Qing-Wen Wang (J. Sci. Comput., 2025)