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Publications
Journal Papers
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, ACM, 2024
Kui Du, Regularized randomized iterative algorithms for factorized linear systems, AMC, 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, AML, 2022.
Kui Du and Xiao-Hui Sun, A doubly stochastic block Gauss–Seidel algorithm for solving linear equations, AMC, 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, SISC, 2020.
Kui Du and Han Gao, A new theoretical estimate for the convergence rate of the maximal weighted residual Kaczmarz algorithm, NMTMA, 2019.
Kui Du, Tight upper bounds for the convergence of the randomized extended Kaczmarz and Gauss–Seidel algorithms, NLAA, 2019.
Kui Du, Buyang Li, Weiwei Sun, and Huanhuan Yang, Electromagnetic scattering from a cavity embedded in an impedance ground plane, MMAS, 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, LAA, 2018.
Kui Du, Jurjen Duintjer Tebbens, and Gérard Meurant, Any admissible harmonic Ritz value set is possible for GMRES, ETNA, 2017.
Zhi Xia and Kui Du, A tensor product finite element method for the diffraction grating problem with transparent boundary conditions, CMA, 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, Graeme Fairweather, and Weiwei Sun, Matrix decomposition algorithms for arbitrary order \(C^0\) tensor product finite element systems, JCAM, 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 and Olavi Nevanlinna, A note on \(\mathbb{R}\)-linear GMRES for solving a class of \(\mathbb{R}\)-linear systems, NLAA, 2012.
Kui Du, A new preconditioner for the interface system arising in a fast Helmholtz solver, CMA, 2012.
Kui Du, A composite preconditioner for the electromagnetic scattering from a large cavity, JCP, 2011.
Kui Du, GMRES with adaptively deflated restarting and its performance on an electromagnetic cavity problem, ANM, 2011.
Kui Du, Two transparent boundary conditions for the electromagnetic scattering from two-dimensional overfilled cavities, JCP, 2011.
Kui Du and Weiwei Sun, Numerical solution of electromagnetic scattering from a large partly covered cavity, JCAM, 2011.
Kui Du, A simple numerical method for complex geometrical optics solutions to the conductivity equation, SISC, 2011.
Kui Du, The ratios between the spectral norm, the numerical radius and the spectral radius, IJMCS, 2010.
Kui Du, Graeme Fairweather, Que N. Nguyen, and Weiwei Sun, Matrix decomposition algorithms for the \(C^0\)-quadratic finite element Galerkin method, BIT, 2009.
Yingxi Wang, Kui Du, and Weiwei Sun, Preconditioning iterative algorithm for the electromagnetic scattering from a large cavity, NLAA, 2009.
Yingxi Wang, Kui Du, and Weiwei Sun, A second-order method for the electromagnetic scattering from a large cavity, NMTMA, 2008.
Kui Du, Note on structured indefinite perturbations to Hermitian matrices, JCAM, 2007.
Kui Du and Yimin Wei, Structured pseudospectra and structured sensitivity of eigenvalues, JCAM, 2006.
Kui Du, A note on properties and computations of matrix pseudospectra, AMC, 2006.
Kui Du, The iterative methods for computing the polar decomposition of rank-deficient matrix, AMC, 2005.
Submitted manuscripts
Kui Du, Jia-Jun Fan, and Fang Wang, nsLSQR: A quasi-minimum residual method for nonsymmetric saddle-point linear systems, 2024.
Kui Du, Jia-Jun Fan, and Ya-Lan Zhang, Improved TriCG and TriMR methods for symmetric quasi-definite linear systems, 2024.
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.
Other manuscripts
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
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