School of Mathematical Sciences, East China Normal University

Home >> People >> Faculty >>

Xu, Zili ( 徐孜立 )

Title：	Associate Professor
Department：	Applied Mathematics
Office：	Room 228, Math Building
Telephone：	54342646-228
Email：	zlxu@math.ecnu.edu.cn
Homepage：	http://math.ecnu.edu.cn/~zlxu

Research Interest

Combinatorics;Computational Mathematics

Resume

研究方向为应用计算调和分析，逼近论，以及离散数学中的组合优化问题。

2012.9-2016.7 吉林大学学士

2016.9-2021.7 中科院数学与系统科学研究院计算数学所博士

2021.8-2024.8 香港科技大学博士后

2024.9-至今华东师范大学准聘副教授

Selected Publications

Papers:

[1] Jian-Feng Cai, Zhiqiang Xu, Zili Xu, Interlacing Polynomial Method for Matrix Approximation via Generalized Column and Row Selection, Foundations of Computational Mathematics, 2025, https://doi.org/10.1007/s10208-025-09719-5.

[2] Yu Xia, Zhiqiang Xu, Zili Xu, Stability in phase retrieval: characterizing condition numbers and the optimal vector set, Mathematics of Computation, 94 (2025), no. 356, pp. 2931-2960.

[3] Jian-Feng Cai, Zhiqiang Xu, Zili Xu, Interlacing Polynomial Method for the Column Subset Selection Problem, International Mathematics Research Notices, rnae001, 2024.

[4] Zhiqiang Xu, Zili Xu and Ziheng Zhu, Improved bounds in Weaver’s KS_r conjecture for high rank positive semidefinite matrices, Journal of Functional Analysis, 285 Issue 4, 2023.

[5] Zhiqiang Xu, Zili Xu, The minimizers of the p-frame potential, Applied and Computational Harmonic Analysis 52, 366-379, 2021.

[6] Zhiqiang Xu, Zili Xu and Wei-Hsuan Yu, Bounds on antipodal spherical designs with few angles, Electronic Journal of Combinatorics, Volume 28 Issue 3, P3.39, 2021.

Recent Publications(From MathSciNet)

MR4940547 Pending Xia, Yu; Xu, Zhiqiang; Xu, Zili Stability in phase retrieval: characterizing condition numbers and the optimal vector set. Math. Comp. 94 (2025), no. 356, 2931–2960. 94A15 (46C05 49N45 94A12)

Review PDF Clipboard Journal Article 1 Citation

Publication Year 2025 Indexed 2025-09-29

MR4742845 Reviewed Cai, Jian-Feng; Xu, Zhiqiang; Xu, Zili Interlacing polynomial method for the column subset selection problem. Int. Math. Res. Not. IMRN 2024, no. 9, 7798–7819. 15A24

Review PDF Clipboard Journal Article

Publication Year 2024 Indexed 2024-07-15 Review Published2024-07-19

MR4584985 Reviewed Xu, Zhiqiang; Xu, Zili; Zhu, Ziheng Improved bounds in Weaver's ${\rm KS}_r$ ${\rm KS}_r$ conjecture for high rank positive semidefinite matrices. J. Funct. Anal. 285 (2023), no. 4, Paper No. 109978, 27 pp. (Reviewer: Robert S. Doran) 15A60 (15B48 42C15)

Review PDF Clipboard Journal Article 2 Citations

Publication Year 2023 Indexed 2023-06-26 Review Published2023-10-11

MR4301307 Reviewed Xu, Zhiqiang; Xu, Zili; Yu, Wei-Hsuan Bounds on antipodal spherical designs with few angles. Electron. J. Combin. 28 (2021), no. 3, Paper No. 3.39, 21 pp. 52C10 (05E30 52C30)

Review PDF Clipboard Journal Article

Publication Year 2021 Indexed 2021-10-08 Review Published2022-08-10

MR4218427 Reviewed Xu, Zhiqiang; Xu, Zili The minimizers of the $p$ $p$ -frame potential. Appl. Comput. Harmon. Anal. 52 (2021), 366–379. 42C15 (31B15)

Review PDF Clipboard Journal Article 4 Citations

Publication Year 2021 Indexed 2021-04-21 Review Published2022-02-14

More publications