Jianlin Xia

Numer. Linear Algebra Appl., January, 2024

2023

Making the Nyström method highly accurate for low-rank approximations.

[BibT_eX]

[DOI]

CoRR, 2023

2022

SuperDC: Superfast Divide-And-Conquer Eigenvalue Decomposition With Improved Stability for Rank-Structured Matrices.

[BibT_eX]

[DOI]

Xiaofeng Ou

SIAM J. Sci. Comput., 2022

Interconnected Hierarchical Structures for Fast Direct Elliptic Solution.

[BibT_eX]

[DOI]

J. Sci. Comput., 2022

2021

Robust and Effective eSIF Preconditioning for General Dense SPD Matrices.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2021

SuperDC: Stable superfast divide-and-conquer eigenvalue decomposition.

[BibT_eX]

[DOI]

Xiaofeng Ou

CoRR, 2021

2020

Fast Factorization Update for General Elliptic Equations Under Multiple Coefficient Updates.

[BibT_eX]

[DOI]

Xiao Liu

Maarten V. de Hoop

SIAM J. Sci. Comput., 2020

Analytical Low-Rank Compression via Proxy Point Selection.

[BibT_eX]

[DOI]

Xin Ye

Lexing Ying

SIAM J. Matrix Anal. Appl., 2020

Effectiveness and robustness revisited for a preconditioning technique based on structured incomplete factorization.

[BibT_eX]

[DOI]

Zi-Xing Xing

Numer. Linear Algebra Appl., 2020

Robust and effective eSIF preconditioning for general SPD matrices.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Fast structured Jacobi-Jacobi transforms.

[BibT_eX]

[DOI]

Jie Shen

Yingwei Wang

Math. Comput., 2019

2017

A Distributed-Memory Randomized Structured Multifrontal Method for Sparse Direct Solutions.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2017

Effective and Robust Preconditioning of General SPD Matrices via Structured Incomplete Factorization.

[BibT_eX]

[DOI]

Zi-Xing Xing

SIAM J. Matrix Anal. Appl., 2017

A Fast Contour-Integral Eigensolver for Non-Hermitian Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2017

2016

A Parallel Geometric Multifrontal Solver Using Hierarchically Semiseparable Structure.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2016

Superfast Divide-and-Conquer Method and Perturbation Analysis for Structured Eigenvalue Solutions.

[BibT_eX]

[DOI]

James Vogel

SIAM J. Sci. Comput., 2016

Fast Structured Direct Spectral Methods for Differential Equations with Variable Coefficients, I. The One-Dimensional Case.

[BibT_eX]

[DOI]

Jie Shen

Yingwei Wang

SIAM J. Sci. Comput., 2016

Parallel Randomized and Matrix-Free Direct Solvers for Large Structured Dense Linear Systems.

[BibT_eX]

[DOI]

Xiao Liu

Maarten V. de Hoop

SIAM J. Sci. Comput., 2016

On the Stability of Some Hierarchical Rank Structured Matrix Algorithms.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2016

2015

Fast Sparse Selected Inversion.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2015

Effective matrix-free preconditioning for the augmented immersed interface method.

[BibT_eX]

[DOI]

Zhilin Li

Xin Ye

J. Comput. Phys., 2015

2014

Superfast and Stable Structured Solvers for Toeplitz Least Squares via Randomized Sampling.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2014

A Fast Randomized Eigensolver with Structured LDL Factorization Update.

[BibT_eX]

[DOI]

Raymond H. Chan

SIAM J. Matrix Anal. Appl., 2014

2013

Efficient Structured Multifrontal Factorization for General Large Sparse Matrices.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2013

Efficient Scalable Algorithms for Solving Dense Linear Systems with Hierarchically Semiseparable Structures.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2013

Randomized Sparse Direct Solvers.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2013

2012

A Superfast Structured Solver for Toeplitz Linear Systems via Randomized Sampling.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2012

On the Complexity of Some Hierarchical Structured Matrix Algorithms.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2012

New Efficient and Robust HSS Cholesky Factorization of SPD Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2012

A robust inner-outer hierarchically semi-separable preconditioner.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2012

Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations.

[BibT_eX]

[DOI]

Wei Shi

J. Comput. Phys., 2012

Robust and Efficient Multifrontal Solver for Large Discretized PDEs.

[BibT_eX]

[DOI]

Proceedings of the High-Performance Scientific Computing - Algorithms and Applications., 2012

2010

Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2010

Fast algorithms for hierarchically semiseparable matrices.

[BibT_eX]

[DOI]

Shivkumar Chandrasekaran

Xiaoye S. Li

Numer. Linear Algebra Appl., 2010

Acoustic inverse scattering via Helmholtz operator factorization and optimization.

[BibT_eX]

[DOI]

Shen Wang

Maarten V. de Hoop

J. Comput. Phys., 2010

2009

Superfast Multifrontal Method for Large Structured Linear Systems of Equations.

[BibT_eX]

[DOI]

Shivkumar Chandrasekaran

Xiaoye S. Li

SIAM J. Matrix Anal. Appl., 2009

Order conditions for ARKN methods solving oscillatory systems.

[BibT_eX]

[DOI]

Xiong You

Comput. Phys. Commun., 2009

2008

Statistical Condition Estimation for the Roots of Polynomials.

[BibT_eX]

[DOI]

Alan J. Laub

SIAM J. Sci. Comput., 2008

Fast Condition Estimation for a Class of Structured Eigenvalue Problems.

[BibT_eX]

[DOI]

Alan J. Laub

SIAM J. Matrix Anal. Appl., 2008

Applications of statistical condition estimation to the solution of linear systems.

[BibT_eX]

[DOI]

Alan J. Laub

Numer. Linear Algebra Appl., 2008

2007

A Superfast Algorithm for Toeplitz Systems of Linear Equations.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2007

Study of general Taylor-like explicit methods in solving stiff ordinary differential equations.

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2007

2006

Fast Methods for Estimating the Distance to Uncontrollability.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2006

Some substantial modifications and improvements for derivative-free iterative methods and derivative-free transformation for multiple zeros.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2006

2003

New vector forms of elemental functions with Taylor series.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2003

An improved regula falsi method with quadratic convergence of both diameter and point for enclosing simple zeros of nonlinear equations.

[BibT_eX]

[DOI]

Zuhe Shen

Appl. Math. Comput., 2003

2002

Note on global convergence of ODE methods for unconstrained optimization.

[BibT_eX]

[DOI]

Zixiang Ouyang

Appl. Math. Comput., 2002

2001

Two low accuracy methods for stiff systems.

[BibT_eX]

[DOI]