计算调和分析;
逼近论;
压缩感知;
样条函数

   

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-- 研究生

-- 博士

   

[1] Rong, Yi, Wang, Yang, Xu, Zhiqiang. Almost everywhere injectivity conditions for the matrix recovery problem. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS[J]. 2021, 50: 386-400, http://dx.doi.org/10.1016/j.acha.2019.09.002.
[2] Huang, Meng, Rong, Yi, Wang, Yang, Xu, Zhiqiang. Almost everywhere generalized phase retrieval. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS[J]. 2021, 50: 16-33, http://dx.doi.org/10.1016/j.acha.2020.08.002.
[3] Xu, Zhiqiang, Xu, Zili. The minimizers of the p-frame potential. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS[J]. 2021, 52: 366-379, http://dx.doi.org/10.1016/j.acha.2020.04.003.
[4] Xia, Yu, Xu, Zhiqiang. The recovery of complex sparse signals from few phaseless measurements. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS[J]. 2021, 50: 1-15, http://dx.doi.org/10.1016/j.acha.2020.08.001.
[5] Huang, Meng, Xu, Zhiqiang. Phase retrieval from the norms of affine transformations. ADVANCES IN APPLIED MATHEMATICS[J]. 2021, 130: [6] Xu, Zhiqiang, Xu, Zili, Yu, WeiHsuan. Bounds on antipodal spherical designs with few angles. ELECTRONIC JOURNAL OF COMBINATORICS[J]. 2021, 28(3): [7] Xia, Yu, Xu, Zhiqiang. Sparse Phase Retrieval Via PhaseLiftOff. IEEE TRANSACTIONS ON SIGNAL PROCESSING[J]. 2021, 69: 2129-2143, http://dx.doi.org/10.1109/TSP.2021.3067164.
[8] Huang, Meng, Xu, Zhiqiang. The Estimation Performance of Nonlinear Least Squares for Phase Retrieval. IEEE TRANSACTIONS ON INFORMATION THEORY[J]. 2020, 66(12): 7967-7977, http://dx.doi.org/10.1109/TIT.2020.2983562.
[9] Gao, Bing, Sun, Xinwei, Wang, Yang, Xu, Zhiqiang. Perturbed Amplitude Flow for Phase Retrieval. IEEE TRANSACTIONS ON SIGNAL PROCESSING[J]. 2020, 68: 5427-5440, https://www.webofscience.com/wos/woscc/full-record/WOS:000574739900013.
[10] Huang, Meng, Xu, Zhiqiang. SOLVING SYSTEMS OF QUADRATIC EQUATIONS VIA EXPONENTIAL-TYPE GRADIENT DESCENT ALGORITHM. JOURNAL OF COMPUTATIONAL MATHEMATICS[J]. 2020, 38(4): 638-660, http://lib.cqvip.com/Qikan/Article/Detail?id=7102194626.
[11] Zhou, Heng, Xu, Zhiqiang. On Generalizations of p-Sets and their Applications. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS[J]. 2019, 12(2): 453-466, http://ir.amss.ac.cn/handle/2S8OKBNM/31987.
[12] Wang, Yang, Xu, Zhiqiang. Generalized phase retrieval: Measurement number, matrix recovery and beyond. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS[J]. 2019, 47(2): 423-446, http://ir.amss.ac.cn/handle/2S8OKBNM/35303, http://www.irgrid.ac.cn/handle/1471x/6870921, http://ir.amss.ac.cn/handle/2S8OKBNM/35304, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000477689000006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[13] Xu, Zhiqiang, Zhou, Tao. A Gradient-Enhanced l(1) Approach for the Recovery of Sparse Trigonometric Polynomials. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2018, 24(1): 286-308, http://ir.amss.ac.cn/handle/2S8OKBNM/32279.
[14] Cai, JianFeng, Rong, Yi, Wang, Yang, Xu, Zhiqiang. Data recovery on a manifold from linear samples: theory and computation. ANNALS OF MATHEMATICAL SCIENCES AND APPLICATIONS[J]. 2018, 3(1): 337-365, [15] Xu, Zhiqiang. The minimal measurement number for low-rank matrix recovery. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS[J]. 2018, 44(2): 497-508, http://dx.doi.org/10.1016/j.acha.2017.01.005.
[16] Gao, Bing, Sun, Qiyu, Wang, Yang, Xu, Zhiqiang. Phase retrieval from the magnitudes of affine linear measurements. ADVANCES IN APPLIED MATHEMATICS[J]. 2018, 93: 121-141, http://dx.doi.org/10.1016/j.aam.2017.09.004.
[17] 曹礼群, 陈志明, 许志强, 袁亚湘, 张林波, 郑伟英, 周爱辉. 科学与工程计算的方法和应用——基于国家自然科学基金创新研究群体项目研究成果的综述. 中国科学基金[J]. 2018, 32(2): 141-149, http://lib.cqvip.com/Qikan/Article/Detail?id=674827424.
[18] Xu Zhiqiang. The Minimal Measurement Number Problem in Phase Retrieval:A Review of Recent Developments. Journal of Mathematical Research with Applications[J]. 2017, 37(1): 40-46, [19] Zhou Heng, Xu Zhiqiang. Improvement of the lower bound of the PCM quantization error for vectors in R 2. Journal of Approximation Theory[J]. 2017, [20] Han, Bin, Xu, ZhiQiang. Robustness properties of dimensionality reduction with Gaussian random matrices. SCIENCE CHINA-MATHEMATICS[J]. 2017, 60(10): 1753-1778, http://ir.amss.ac.cn/handle/2S8OKBNM/44787, http://www.irgrid.ac.cn/handle/1471x/6871110, http://ir.amss.ac.cn/handle/2S8OKBNM/44788.
[21] Gao, Bing, Xu, Zhiqiang. Phaseless Recovery Using the Gauss-Newton Method. IEEE TRANSACTIONS ON SIGNAL PROCESSING[J]. 2017, 65(22): 5885-5896, https://www.webofscience.com/wos/woscc/full-record/WOS:000411680100005.
[22] Voroninski, Vladislav, Xu, Zhiqiang. A strong restricted isometry property, with an application to phaseless compressed sensing. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS[J]. 2016, 40(2): 386-395, https://www.webofscience.com/wos/woscc/full-record/WOS:000368317100007.
[23] Liu, Wenhui, Gong, Da, Xu, Zhiqiang. One-Bit Compressed Sensing by Greedy Algorithms. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS[J]. 2016, 9(2): 169-184, http://ir.amss.ac.cn/handle/2S8OKBNM/46025, http://www.irgrid.ac.cn/handle/1471x/6871134, http://ir.amss.ac.cn/handle/2S8OKBNM/46026.
[24] Gao, Bing, Wang, Yang, Xu, Zhiqiang. Stable Signal Recovery from Phaseless Measurements. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS[J]. 2016, 22(4): 787-808, https://www.webofscience.com/wos/woscc/full-record/WOS:000381080700003.
[25] Xu, Guangwu, Xu, Zhiqiang. Compressed Sensing Matrices From Fourier Matrices. IEEE TRANSACTIONS ON INFORMATION THEORY[J]. 2015, 61(1): 469-478, https://www.webofscience.com/wos/woscc/full-record/WOS:000346980400029.
[26] Wang, Yang, Xu, Zhiqiang. Phase retrieval for sparse signals. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS[J]. 2014, 37(3): 531-544, https://www.webofscience.com/wos/woscc/full-record/WOS:000342187700008.
[27] Xu, Zhiqiang, Zhou, Tao. ON SPARSE INTERPOLATION AND THE DESIGN OF DETERMINISTIC INTERPOLATION POINTS. SIAM JOURNAL ON SCIENTIFIC COMPUTING[J]. 2014, 36(4): A1752-A1769, https://www.webofscience.com/wos/woscc/full-record/WOS:000344743800017.
[28] 陈发来, 高小山, 罗钟铉, 许志强. 序言. 中国科学:数学. 2014, 1-, https://kns.cnki.net/KCMS/detail/detail.aspx?dbcode=CJFQ&dbname=CJFD2014&filename=JAXK201407002&v=MjgzMzQ5RlpvUjhlWDFMdXhZUzdEaDFUM3FUcldNMUZyQ1VSN3FmYnVadEZDdm5VcnJCTHl6VFpiRzRIOVhNcUk=.
[29] Zhou, Tao, Narayan, Akil, Xu, Zhiqiang. MULTIVARIATE DISCRETE LEAST-SQUARES APPROXIMATIONS WITH A NEW TYPE OF COLLOCATION GRID. SIAM JOURNAL ON SCIENTIFIC COMPUTING[J]. 2014, 36(5): A2401-A2422, https://www.webofscience.com/wos/woscc/full-record/WOS:000346123200013.
[30] Shen, Zuowei, Xu, Zhiqiang. ON B-SPLINE FRAMELETS DERIVED FROM THE UNITARY EXTENSION PRINCIPLE. SIAM JOURNAL ON MATHEMATICAL ANALYSIS[J]. 2013, 45(1): 127-151, https://www.webofscience.com/wos/woscc/full-record/WOS:000315577500007.
[31] Wang, Yang, Xu, Zhiqiang. The regularity of refinable functions. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS[J]. 2013, 34(1): 142-147, https://www.webofscience.com/wos/woscc/full-record/WOS:000310671700008.
[32] 许志强. 压缩感知. 中国科学:数学[J]. 2012, 42(9): 865-877, http://lib.cqvip.com/Qikan/Article/Detail?id=43212050.
[33] 许志强. 多元样条与离散数学相关问题研究进展综述. 数学进展[J]. 2007, 36(3): 257-267, http://lib.cqvip.com/Qikan/Article/Detail?id=24793887.
[34] 许艳, 王仁宏, 许志强. 一类超收敛数值差商公式研究. 计算数学[J]. 2007, 29(1): 81-88, http://lib.cqvip.com/Qikan/Article/Detail?id=23919675.
[35] 陈玉福, 许志强, 贾屹峰. 吴消元法在lagrange和hamilton方程中的应用. 应用数学和力学[J]. 2006, 27(10): 1226-, http://ir.amss.ac.cn/handle/2S8OKBNM/38889, http://www.irgrid.ac.cn/handle/1471x/6870999, http://ir.amss.ac.cn/handle/2S8OKBNM/38890.
[36] 贾屹峰, 陈玉福, 许志强. 吴消元法和吴微分特征列法在lagrange系统中的应用. 中国科学院研究生院学报[J]. 2006, 23(6): 721-, http://ir.amss.ac.cn/handle/2S8OKBNM/48075, http://www.irgrid.ac.cn/handle/1471x/6871164, http://ir.amss.ac.cn/handle/2S8OKBNM/48076.
[37] 许志强. 高维Popoviciu公式. 中国科学(A辑:数学)[J]. 2006, 1431-, http://ir.amss.ac.cn/handle/2S8OKBNM/39430, http://www.irgrid.ac.cn/handle/1471x/6871012, http://ir.amss.ac.cn/handle/2S8OKBNM/39431.
[38] JIA Yifeng, CHEN Yufu, XU Zhiqiang. applicationofwueliminationmethodtoconstraineddynamics. appliedmathematicsandmechanics[J]. 2006, 27(10): 1399-, http://ir.amss.ac.cn/handle/2S8OKBNM/45567, http://www.irgrid.ac.cn/handle/1471x/6871124, http://ir.amss.ac.cn/handle/2S8OKBNM/45568.
[39] Zhou, Heng, Xu, Zhiqiang. The lower bound of the PCM quantization error in high dimension. http://arxiv.org/abs/1403.4311.

现指导学生

宫达  硕士研究生  070102-计算数学