Publications

Journal Papers

Kui Du and Jia-Jun Fan, GP-CMRH: An inner product free iterative method for block two-by-two nonsymmetric linear systems, Advances in Computational Mathematics, 2026.
Kui Du, Jia-Jun Fan, and Fang Wang, RSMAR: An iterative method for range-symmetric linear systems, Linear Algebra and its Applications, 2026.
Kui Du, Jia-Jun Fan, and Ya-Lan Zhang, Improved TriCG and TriMR methods for symmetric quasi-definite linear systems, Numerical Linear Algebra with Applications, 2025.
Kui Du, Jia-Jun Fan, and Fang Wang, On deflated CGW methods for solving nonsymmetric positive definite linear systems, Calcolo, 2025
Kui Du, Jia-Jun Fan, Xiao-Hui Sun, Fang Wang, and Ya-Lan Zhang, On Krylov subspace methods for skew-symmetric and shifted skew-symmetric linear systems, Advances in Computational Mathematics, 2024
Kui Du, Regularized randomized iterative algorithms for factorized linear systems, Applied Mathematics and Computation, 2024
Kui Du, Cheng-Chao Ruan, and Xiao-Hui Sun, On the convergence of a randomized block coordinate descent algorithm for a matrix least squares problem, Applied Mathematics Letters, 2022.
Kui Du and Xiao-Hui Sun, A doubly stochastic block Gauss–Seidel algorithm for solving linear equations, Applied Mathematics and Computation, 2021.
Kui Du and Xiao-Hui Sun, Randomized double and triple Kaczmarz for solving extended normal equations, Calcolo, 2021.
Kui Du, Wu-Tao Si, and Xiao-Hui Sun, Randomized extended average block Kaczmarz for solving least squares, SIAM Journal on Scientific Computing, 2020.
Kui Du and Han Gao, A new theoretical estimate for the convergence rate of the maximal weighted residual Kaczmarz algorithm, Numerical Mathematics. Theory, Methods and Applications, 2019.
Kui Du, Tight upper bounds for the convergence of the randomized extended Kaczmarz and Gauss–Seidel algorithms, Numerical Linear Algebra with Applications, 2019.
Kui Du, Buyang Li, Weiwei Sun, and Huanhuan Yang, Electromagnetic scattering from a cavity embedded in an impedance ground plane, Mathematical Methods in the Applied Sciences, 2018.
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, Linear Algebra and its Applications, 2018.
Kui Du, Jurjen Duintjer Tebbens, and Gérard Meurant, Any admissible harmonic Ritz value set is possible for GMRES, Electronic Transactions on Numerical Analysis, 2017.
Zhi Xia and Kui Du, A tensor product finite element method for the diffraction grating problem with transparent boundary conditions, Computers & Mathematics with Applications, 2017.
Kui Du, On well-conditioned spectral collocation and spectral methods by the integral reformulation, SIAM Journal on Scientific Computing, 2016.
Kui Du, Buyang Li, and Weiwei Sun, A numerical study on the stability of a class of Helmholtz problems, Journal of Computational Physics, 2015.
Kui Du, Graeme Fairweather, and Weiwei Sun, Matrix decomposition algorithms for arbitrary order \(C^0\) tensor product finite element systems, Journal of Computational and Applied Mathematics, 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, Journal of Computational Physics, 2013.
Kui Du and Olavi Nevanlinna, A note on \(\mathbb{R}\)-linear GMRES for solving a class of \(\mathbb{R}\)-linear systems, Numerical Linear Algebra with Applications, 2012.
Kui Du, A new preconditioner for the interface system arising in a fast Helmholtz solver, Computers & Mathematics with Applications, 2012.
Kui Du, A composite preconditioner for the electromagnetic scattering from a large cavity, Journal of Computational Physics, 2011.
Kui Du, GMRES with adaptively deflated restarting and its performance on an electromagnetic cavity problem, Applied Numerical Mathematics, 2011.
Kui Du, Two transparent boundary conditions for the electromagnetic scattering from two-dimensional overfilled cavities, Journal of Computational Physics, 2011.
Kui Du and Weiwei Sun, Numerical solution of electromagnetic scattering from a large partly covered cavity, Journal of Computational and Applied Mathematics, 2011.
Kui Du, A simple numerical method for complex geometrical optics solutions to the conductivity equation, SIAM Journal on Scientific Computing, 2011.
Kui Du, The ratios between the spectral norm, the numerical radius and the spectral radius, International Journal of Computational and Mathematical Sciences, 2010.
Kui Du, Graeme Fairweather, Que N. Nguyen, and Weiwei Sun, Matrix decomposition algorithms for the \(C^0\)-quadratic finite element Galerkin method, BIT. Numerical Mathematics, 2009.
Yingxi Wang, Kui Du, and Weiwei Sun, Preconditioning iterative algorithm for the electromagnetic scattering from a large cavity, Numerical Linear Algebra with Applications, 2009.
Yingxi Wang, Kui Du, and Weiwei Sun, A second-order method for the electromagnetic scattering from a large cavity, Numerical Mathematics. Theory, Methods and Applications, 2008.
Kui Du, Note on structured indefinite perturbations to Hermitian matrices, Journal of Computational and Applied Mathematics, 2007.
Kui Du and Yimin Wei, Structured pseudospectra and structured sensitivity of eigenvalues, Journal of Computational and Applied Mathematics, 2006.
Kui Du, A note on properties and computations of matrix pseudospectra, Applied Mathematics and Computation, 2006.
Kui Du, The iterative methods for computing the polar decomposition of rank-deficient matrix, Applied Mathematics and Computation, 2005.

Other manuscripts

Kui Du, Jia-Jun Fan, and Fang Wang, Obtaining the pseudoinverse solution of singular range-symmetric linear systems with GMRES-type methods, arXiv:2401.11788, 2024.
Kui Du, Jia-Jun Fan, and Fang Wang, GPBiLQ and GPQMR: Two iterative methods for unsymmetric partitioned linear systems, arXiv:2401.02608, 2024.
Kui Du and Xiao-Hui Sun, Randomized regularized extended Kaczmarz algorithms for tensor recovery, arXiv:2112.08566, 2021
Kui Du and Xiao-Hui Sun, Pseudoinverse-free randomized block iterative algorithms for consistent and inconsistent linear systems, arXiv:2011.10353, 2020
Kui Du and Xiao-Hui Sun, Stochastic gradient descent for linear least squares problems with partially observed data, arXiv:2007.04617, 2020
Kui Du, Any admissible harmonic Ritz value set is possible for prescribed GMRES residual norms, arXiv:1604.06923, 2016
Kui Du, Preconditioning fractional spectral collocation, arXiv:1510.05776, 2015