祁力群 教授

祁力群教授多年来一直致力于非光滑优化、多项式优化、张量特征值等问题研究，取得了许多开创性且在国际范围内有影响力的成果。祁力群教授建立了半光滑牛顿方法的超线性收敛理论，和光滑化牛顿方法的全局收敛理论，于2010年取得中国运筹学会科学技术一等奖。祁力群教授首次提出张量特征值的概念，开创了高阶张量谱理论，在医疗工程、数据分析、量子物理、超图谱理论，液晶研究等方面取得应用，并出版两本关于张量理论的英文专著。祁力群教授在国际杂志上发表学术论文380余篇，多篇论文发表于优化顶级期刊Math. Program、SIAM J. Optim.、Math. Oper. Res.等。祁力群教授分别在2003-2010年、2018-2023年被列为世界高被引数学家。2022年当选首届中国运筹学会会士。

1981.01-1984.05，美国威斯康星大学，计算数学，博士

1962.09-1968.06，清华大学，计算数学，学士

2019.11至今，杭州电子科技大学，理学院，教授

1999.12至2019.10，香港理工大学，应用数学系，教授

部分论文：

[B361] L. Qi, S. Hu and Y. Xu, “Spectral norm and nuclear norm of a third order tensor”, Journal of Industrial and Management Optimization 18 (2022) 1101-1113.

[B362] L. Qi, Y. Song and X. Zhang, “Positivity conditions for cubic, quartic and quintic polynomials”, Journal of Nonlinear and Convex Analysis 23 (2022) 191-213.

[B363] Y. Chen, L. Qi and X. Zhang, “Color image completion using a low-rank quaternion matrix approximation”, Pacific Journal of Optimization 18 (2022) 55-75.

[B364] C. Ling, J. Liu, C. Ouyang and L. Qi, “ST-SVD factorization and s-diagonal tensors”, Communications in Mathematical Sciences 20 (2022) 597-610.

[B365] S.Y. Chang, Z. Luo and L. Qi, “Tensor manifold with Tucker rank constraints”, Asia-Pacific Journal of Operational Research 39 (2022) 2150022.

[B366] C. Ling, H. He and L. Qi, “Singular values of dual quaternion matrices and their low-rank approximations”, Numerical Functional Analysis and Optimization 43 (2022) 1423-1458.

[B367] L. Qi, C. Ling, J. Liu and C. Ouyang, “An orthogonal equivalence theorem for third order tensors”, Journal of Industrial and Management Optimization 18 (2022) 4191-4200.

[B368] L. Qi, C. Ling and H. Yan, “Dual quaternions and dual quaternion vectors”, Communications on Applied Mathematics and Computation 4 (2022) 1494-1508.

[B369] L. Qi, Z. Luo, Q. Wang and X. Zhang, “Quaternion matrix optimization: Motivation and analysis”, Journal of Optimization Theory and Applications 193 (2022) 621-648.

[B370] H. Chen, L. Qi, Y. Wang and G. Zhou, “Further results on sum-of-squares tensors”, Optimization Methods and Softwares 37 (2022) 387-403.

[B371] Y. Chen, A. J´akli and L. Qi, “ The C-eigenvalue of third order tensors and its application in crystals”, Journal of Industrial and Management Optimization 19 (2023) 265-281

[B372] C. Cui, Z. Luo, L. Qi and H. Yan, “Computing the analytic connectivity of a uniform hypergraph”, Numerical Linear Algebra with Applications 30 (2023) e2468.

[B373] L. Qi and Z. Luo, “Eigenvalues and singular values of dual quaternion matrices”, Pacific Journal of Optimization 19 (2023) 257-272.

[B374] L. Qi, Y. Song and X. Zhang, “Copositivity of three-dimensional symmetric tensors”, Asia-Pacific Journal of Operational Research 40 (2023) 2250032.

[B375] L. Qi, X. Wang and Z. Luo, “Dual quaternion matrices in multi-agent formation control”, Communications in Mathematical Sciences 21 (2023) 1865-1874.

[B376] C. Ling, L. Qi and H. Yan, “Minimax principle for eigenvalues of dual quaternion Hermitian matrices and generalized inverses of dual quaternion matrices”, Numerical Functional Analysis and Optimization 44 (2023) 1371-1394.

[B377] L. Qi and Z. Huang, “Minimal integrity bases of invariants of second order tensors in a flat Riemannian space”, Pure and Applied Functional Analysis 8 (2023) 1465-1475.

[B378] L. Qi, “Standard dual quaternion optimization and its applications in hand-eye calibration and SLAM”, Communications on Applied Mathematics and Computation 5 (2023) 1469-1483.

[B379] Z. Luo and L. Qi, “Optimality Conditions for Tucker Low-Rank Tensor Optimization”, Computational Optimization and Applications 86 (2023) 1275-1298.

[B380] W. Dong, G. Yu, L. Qi and X. Cai, “Practical Sketching Algorithms for Low-Rank Tucker Approximation of Large Tensors”, Journal of Scientific Computing 95 (2023) No. 52.

[B381] Y. Chen, Z. Huang and L. Qi, “Minimal integrity bases of invariants of two second order antisymmetric or symmetric tensors in the Minkowski space”, Journal of Nonlinear and Convex Analysis 24 (2023) 2667-2694.

[B382] G. Yu, S. Wan, C. Ling, L. Qi and Y. Xu, “Tensor train factorization with spatiotemporal smoothness for streaming low-rank tensor completion”, to appear in: Frontiers of Mathematics in China.

[B383] Z. Zhang, C. Ling, H. He and L. Qi, “A tensor train approach for internet traffic data completion”, Annals of Operations Research (2021) DOI: 10.1007/s10479-021-04147-4.

[B384] Q. Yu, X. Zhang, Y. Chen and L. Qi, “Low Tucker rank tensor completion using a symmetric BCD method”, to appear in: Numerical Linear Algebra with Applications.

[B385] L. Qi, “Motion, dual quaternion optimization and motion optimization”, Communications on Applied Mathematics and Computation DOI10.1007/s42967-023-00262-0.

[B386] C. Ling, H. He, L. Qi and T. Feng, “von Neumann type trace inequality for dual quaternion matrices”, Pacific Journal of Optimization doi.org/10.61208/pjo-2023-045.

[B387] L. Qi and C. Cui, “Eigenvalues and Jordan forms of dual complex matrices”, Communications on Applied Mathematics and Computation (2023) DOI. 10.1007/s42967-023-00299-1.

[B388] C. Pan, C. Ling, H. He, L. Qi and Y. Xu, “A low-rank and sparse enhanced Tucker decomposition for tensor completion”, Applied Mathematics and Computation 465 (2024) 128432.

部分专著：

[A24] L. Qi and Z. Luo, Tensor Analysis: Spectral Theory and Special Tensors SIAM, Philadelphia, 2017. (305 pages) 

[A26] L. Qi, H. Chen and Y. Chen, Tensor Eigenvalues and Their Applications Springer, New York, 2018. (329 pages)