厦门大学数学科学学院信息与计算数学系导师介绍：杜魁

 Kui Du(杜魁)

Professor

School of Mathematical Sciences, Xiamen University
 

Xiamen 361005, China

E-mail: kuidu@xmu.edu.cn Phone: 0592-2580672 Fax: 0592-2580608

Office: R536 Math & Phys Building, Haiyun Campus

Master/Ph.D students recruitment (招收硕士、博士研究生) 

I am actively looking for Master/Ph.D students interested in numerical optimization and numerical algebra algorithms in data science. Recruited students will receive rigorous training and generous support from our group. Interested students are very welcome to contact me by email:  kuidu@xmu.edu.cn

厦门大学数值优化和数值代数(XMU-NONA)课题组

Teaching

• Numerical Linear Algebra 
  数值线性代数
• Computational Methods for Linear Inverse Problems 
  线性反问题的计算方法
• Mathematical Methods for Data Analysis  (in preparation) 
  数据分析中的数学方法

Research Interests

• Fast algorithms for electromagnetic scattering 
  电磁散射快速算法
• Numerical optimization and numerical algebra algorithms in data science 
  数据科学中的数值优化和数值代数算法

Recent Work

• Kui Du. Refined upper bounds for the convergence of the randomized extended Kaczmarz and Gauss-Seidel algorithms.
• Kui Du, Buyang Li, and Weiwei Sun. Electromagnetic scattering from a cavity embedded in an impedance ground plane. 

Selected Publications

• Kui Du, Yunqing Huang, and Yiwei Wang. On two generalized inverse eigenvalue problems for Hessenberg-upper triangular pencils and their application to the study of GMRES convergence. LAA, 2018.
• Kui Du, Jurjen Duintjer Tebbens, and Gerard Meurant. Any admissible harmonic Ritz value set is possible for GMRES. ETNA, 2017. 
• Kui Du. On well-conditioned spectral collocation and spectral methods by the integral reformulation. SISC, 2016.
• Kui Du, Buyang Li, and Weiwei Sun. A numerical study on the stability of a class of Helmholtz problems. JCP, 2015.
• Kui Du, Weiwei Sun, and Xiaoping Zhang. Arbitrary high-order C^0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity. JCP, 2013.
• Kui Du. A composite preconditioner for the electromagnetic scattering from a large cavity. JCP, 2011.
• Kui Du. Two transparent boundary conditions for the electromagnetic scattering from two-dimensional overfilled cavities. JCP, 2011.
• Kui Du. A simple numerical method for complex geometrical optics solutions to the conductivity equation. SISC, 2011.
• Mathscinet   ResearcherID

Current Students

• 司武涛 (2017, master)
  Topic: Randomized iterative algorithms for factorized linear systems
• 沈雁欣 (2017, master)
  Topic: Randomized iterative algorithms for LASSO