杜魁｜厦门大学｜学者主页

2026

TriCG with deflated restarting for symmetric quasi-definite linear systems

Kui Du, Jia-jun Fan

arXiv.org

DOI

2026

RSMAR: An iterative method for range-symmetric linear systems

Kui Du, Jia-jun Fan, Fang Wang

Linear Algebra and its Applications

DOI

2025

GP-CMRH: an inner product free iterative method for block two-by-two nonsymmetric linear systems

Kui Du, Jia-jun Fan

Advances in Computational Mathematics

DOI

2025

Improved TriCG and TriMR Methods for Symmetric Quasi‐Definite Linear Systems

Kui Du, Jia-jun Fan, Ya‐Lan Zhang

Numerical Linear Algebra with Applications

DOI

2025

On deflated CGW methods for solving nonsymmetric positive definite linear systems

Kui Du, Jia-jun Fan, Fang Wang

Calcolo

DOI

2024

Obtaining the pseudoinverse solution of singular range-symmetric linear systems with GMRES-type methods

Kui Du, Jia-jun Fan, Fang Wang

arXiv.org

DOI

2024

GPBiLQ and GPQMR: Two iterative methods for unsymmetric partitioned linear systems

Kui Du, Jia-jun Fan, Fang Wang

arXiv.org

DOI

2023

On Krylov subspace methods for skew-symmetric and shifted skew-symmetric linear systems

Kui Du, Jianhua Fan, Xiaohui Sun, Fang Wang, Ya‐Lan Zhang

Advances in Computational Mathematics

DOI

2023

Regularized randomized iterative algorithms for factorized linear systems

Kui Du

Applied Mathematics and Computation

DOI

2022

On the convergence of a randomized block coordinate descent algorithm for a matrix least squares problem

Kui Du, Cheng-Chao Ruan, Xiaohui Sun

Applied Mathematics Letters

DOI

2021

Randomized regularized extended Kaczmarz algorithms for tensor recovery

Kui Du, Xiaohui Sun

arXiv.org

2021

A doubly stochastic block Gauss–Seidel algorithm for solving linear equations

Kui Du, Xiaohui Sun

Applied Mathematics and Computation

DOI

2020

Randomized Extended Average Block Kaczmarz for Solving Least Squares

Kui Du, Wutao Si, Xiaohui Sun

SIAM Journal on Scientific Computing

DOI

2020

Stochastic gradient descent for linear least squares problems with partially observed data

Kui Du, Xiaohui Sun

arXiv.org

2020

Randomized double and triple Kaczmarz for solving extended normal equations

Kui Du, Xiaohui Sun

Calcolo

DOI

2020

Pseudoinverse-free randomized block iterative methods for consistent and inconsistent linear systems

Kui Du, Xiaohui Sun

arXiv.org

2019

Tight upper bounds for the convergence of the randomized extended Kaczmarz and Gauss–Seidel algorithms

Kui Du

Numerical Linear Algebra with Applications

DOI

2019

A New Theoretical Estimate for the Convergence Rate of the Maximal Weighted Residual Kaczmarz Algorithm

Kui Du, Hang Gao

2018

On two generalized inverse eigenvalue problems for Hessenberg-upper triangular pencils and their application to the study of GMRES convergence

Kui Du, Yun-Qing Huang, Yiwei Wang

Linear Algebra and its Applications

DOI

2018

Electromagnetic scattering from a cavity embedded in an impedance ground plane

Kui Du, Bu-Yang Li, Wei-Wei Sun, Huan-Huan Yang

Mathematical methods in the applied sciences

DOI

2017

Any admissible harmonic Ritz value set is possible for GMRES

Kui Du, J. D. Tebbens, G. Meurant

DOI

2017

A tensor product finite element method for the diffraction grating problem with transparent boundary conditions

Zhi Xia, Kui Du

Computers and Mathematics with Applications

DOI

2015

Matrix decomposition algorithms for arbitrary order C0 tensor product finite element systems

Kui Du, G. Fairweather, Wei-Wei Sun

Journal of Computational and Applied Mathematics

DOI

2015

A numerical study on the stability of a class of Helmholtz problems

Kui Du, Bu-Yang Li, Wei-Wei Sun

Journal of Computational Physics

DOI

2013

Arbitrary high-order C0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity

Kui Du, Wei-Wei Sun, Xiao-Ping Zhang

Journal of Computational Physics

DOI

2012

A note on ℝ‐linear GMRES for solving a class of ℝ‐linear systems

Kui Du, O. Nevanlinna

Numerical Linear Algebra with Applications

DOI

2012

A new preconditioner for the interface system arising in a fast Helmholtz solver

Kui Du

Computers and Mathematics with Applications

DOI

2011

Numerical solution of electromagnetic scattering from a large partly covered cavity

Kui Du, Weiwei Sun

Journal of Computational and Applied Mathematics

DOI

2011

A Simple Numerical Method for Complex Geometrical Optics Solutions to the Conductivity Equation

Kui Du

SIAM Journal on Scientific Computing

DOI

2011

GMRES with adaptively deflated restarting and its performance on an electromagnetic cavity problem

Kui Du

DOI

2011

Two transparent boundary conditions for the electromagnetic scattering from two-dimensional overfilled cavities

Kui Du

Journal of Computational Physics

DOI

2011

A composite preconditioner for the electromagnetic scattering from a large cavity

Kui Du

Journal of Computational Physics

DOI

2010

Minimal residual methods for solving a class of R-linear systems of equations

Kui Du, O. Nevanlinna

2010

Global R-linear GMRES for solving a class of R-linear matrix equations

Kui Du

2010

The ratios between the spectral norm, the numerical radius and the spectral radius

Kui Du

2009

Preconditioning iterative algorithm for the electromagnetic scattering from a large cavity

Yingxi Wang, Kui Du, Wei-Wei Sun

Numerical Linear Algebra with Applications

DOI

2009

Matrix decomposition algorithms for the C0-quadratic finite element Galerkin method

Kui Du, G. Fairweather, Q. N. Nguyen, Wei-Wei Sun

DOI

2008

Inexact Global FOM and GMRES Methods for Solving Linear Systems with Multiple Right-Hand Sides

Kui Du, Yi-min Wei

2008

A Second-Order Method for the Electromagnetic Scattering from a Large Cavity

Y.-X. Wang, Kui Du, W.-W. Sun, Kui Du

2007

Note on structured indefinite perturbations to Hermitian matrices

Kui Du

DOI

2006

A note on properties and computations of matrix pseudospectra

Kui Du

Applied Mathematics and Computation

DOI

2006

Structured pseudospectra and structured sensitivity of eigenvalues

Kui Du, Yi-Min Wei

DOI

2005

The iterative methods for computing the polar decomposition of rank-deficient matrix

Kui Du

Applied Mathematics and Computation

DOI

精选作品

期刊论文

TriCG with deflated restarting for symmetric quasi-definite linear systems

RSMAR: An iterative method for range-symmetric linear systems

GP-CMRH: an inner product free iterative method for block two-by-two nonsymmetric linear systems

Improved TriCG and TriMR Methods for Symmetric Quasi‐Definite Linear Systems

On deflated CGW methods for solving nonsymmetric positive definite linear systems

Obtaining the pseudoinverse solution of singular range-symmetric linear systems with GMRES-type methods

GPBiLQ and GPQMR: Two iterative methods for unsymmetric partitioned linear systems

On Krylov subspace methods for skew-symmetric and shifted skew-symmetric linear systems

Regularized randomized iterative algorithms for factorized linear systems

On the convergence of a randomized block coordinate descent algorithm for a matrix least squares problem

Randomized regularized extended Kaczmarz algorithms for tensor recovery

A doubly stochastic block Gauss–Seidel algorithm for solving linear equations

Randomized Extended Average Block Kaczmarz for Solving Least Squares

Stochastic gradient descent for linear least squares problems with partially observed data

Randomized double and triple Kaczmarz for solving extended normal equations

Pseudoinverse-free randomized block iterative methods for consistent and inconsistent linear systems

Tight upper bounds for the convergence of the randomized extended Kaczmarz and Gauss–Seidel algorithms

A New Theoretical Estimate for the Convergence Rate of the Maximal Weighted Residual Kaczmarz Algorithm

On two generalized inverse eigenvalue problems for Hessenberg-upper triangular pencils and their application to the study of GMRES convergence

Electromagnetic scattering from a cavity embedded in an impedance ground plane

Any admissible harmonic Ritz value set is possible for GMRES

A tensor product finite element method for the diffraction grating problem with transparent boundary conditions

Matrix decomposition algorithms for arbitrary order C0 tensor product finite element systems

A numerical study on the stability of a class of Helmholtz problems

Arbitrary high-order C0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity

A note on ℝ‐linear GMRES for solving a class of ℝ‐linear systems

A new preconditioner for the interface system arising in a fast Helmholtz solver

Numerical solution of electromagnetic scattering from a large partly covered cavity

A Simple Numerical Method for Complex Geometrical Optics Solutions to the Conductivity Equation

GMRES with adaptively deflated restarting and its performance on an electromagnetic cavity problem

Two transparent boundary conditions for the electromagnetic scattering from two-dimensional overfilled cavities

A composite preconditioner for the electromagnetic scattering from a large cavity

Minimal residual methods for solving a class of R-linear systems of equations

Global R-linear GMRES for solving a class of R-linear matrix equations

The ratios between the spectral norm, the numerical radius and the spectral radius

Preconditioning iterative algorithm for the electromagnetic scattering from a large cavity

Matrix decomposition algorithms for the C0-quadratic finite element Galerkin method

Inexact Global FOM and GMRES Methods for Solving Linear Systems with Multiple Right-Hand Sides

A Second-Order Method for the Electromagnetic Scattering from a Large Cavity

Note on structured indefinite perturbations to Hermitian matrices

A note on properties and computations of matrix pseudospectra

Structured pseudospectra and structured sensitivity of eigenvalues

The iterative methods for computing the polar decomposition of rank-deficient matrix

研究方向