Jianlin Xia

According to our database, Jianlin Xia authored at least 51 papers between 2001 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

A Robust Randomized Indicator Method for Accurate Symmetric Eigenvalue Detection.

Zhongyuan Chen, Jiguang Sun, Jianlin Xia

J. Sci. Comput., August, 2024

Rank-structured approximation of some Cauchy matrices with sublinear complexity.

Mikhail Lepilov, Jianlin Xia

Numer. Linear Algebra Appl., January, 2024

Making the Nyström Method Highly Accurate for Low-Rank Approximations.

Jianlin Xia

SIAM J. Sci. Comput., 2024

A Structure-Guided Gauss-Newton Method for Shallow ReLU Neural Network.

Zhiqiang Cai, Tong Ding, Min Liu, Xinyu Liu, Jianlin Xia

CoRR, 2024

A Non-trimmed, 7 MHz and 52 ppm/°C Relaxation Oscillator with Loop Errors Compensation from -40°C to 165°C.

Jianlin Xia, Yongjia Li, Zhongyuan Fang, Jin Wu, Feng Lin, Weifeng Sun

Proceedings of the IEEE International Symposium on Circuits and Systems, 2024

2022

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

Xiaofeng Ou, Jianlin Xia

SIAM J. Sci. Comput., 2022

Interconnected Hierarchical Structures for Fast Direct Elliptic Solution.

Xiao Liu, Jianlin Xia, Maarten V. de Hoop, Xiaofeng Ou

J. Sci. Comput., 2022

2021

Robust and Effective eSIF Preconditioning for General Dense SPD Matrices.

Jianlin Xia

SIAM J. Sci. Comput., 2021

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

Xiaofeng Ou, Jianlin Xia

CoRR, 2021

2020

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

Xiao Liu, Jianlin Xia, Maarten V. de Hoop

SIAM J. Sci. Comput., 2020

Analytical Low-Rank Compression via Proxy Point Selection.

Xin Ye, Jianlin Xia, Lexing Ying

SIAM J. Matrix Anal. Appl., 2020

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

Zi-Xing Xing, Jianlin Xia, Stephen Cauley, Venkataramanan Balakrishnan

Numer. Linear Algebra Appl., 2020

Robust and effective eSIF preconditioning for general SPD matrices.

Jianlin Xia

CoRR, 2020

2019

Fast structured Jacobi-Jacobi transforms.

Jie Shen, Yingwei Wang, Jianlin Xia

Math. Comput., 2019

2017

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

Zi-Xing Xing, Jianlin Xia, Maarten V. de Hoop, Stephen Cauley, Venkataramanan Balakrishnan

SIAM J. Sci. Comput., 2017

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

Jianlin Xia, Zi-Xing Xing

SIAM J. Matrix Anal. Appl., 2017

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

Xin Ye, Jianlin Xia, Raymond H. Chan, Stephen Cauley, Venkataramanan Balakrishnan

SIAM J. Matrix Anal. Appl., 2017

2016

A Parallel Geometric Multifrontal Solver Using Hierarchically Semiseparable Structure.

Shen Wang, Xiaoye S. Li, François-Henry Rouet, Jianlin Xia, Maarten V. de Hoop

ACM Trans. Math. Softw., 2016

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

James Vogel, Jianlin Xia, Stephen Cauley, Venkataramanan Balakrishnan

SIAM J. Sci. Comput., 2016

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

Jie Shen, Yingwei Wang, Jianlin Xia

SIAM J. Sci. Comput., 2016

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

Xiao Liu, Jianlin Xia, Maarten V. de Hoop

SIAM J. Sci. Comput., 2016

On the Stability of Some Hierarchical Rank Structured Matrix Algorithms.

Yuanzhe Xi, Jianlin Xia

SIAM J. Matrix Anal. Appl., 2016

2015

Fast Sparse Selected Inversion.

Jianlin Xia, Yuanzhe Xi, Stephen Cauley, Venkataramanan Balakrishnan

SIAM J. Matrix Anal. Appl., 2015

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

Jianlin Xia, Zhilin Li, Xin Ye

J. Comput. Phys., 2015

2014

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

Yuanzhe Xi, Jianlin Xia, Stephen Cauley, Venkataramanan Balakrishnan

SIAM J. Matrix Anal. Appl., 2014

A Fast Randomized Eigensolver with Structured LDL Factorization Update.

Yuanzhe Xi, Jianlin Xia, Raymond H. Chan

SIAM J. Matrix Anal. Appl., 2014

2013

Efficient Structured Multifrontal Factorization for General Large Sparse Matrices.

Jianlin Xia

SIAM J. Sci. Comput., 2013

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

Shen Wang, Xiaoye S. Li, Jianlin Xia, Yingchong Situ, Maarten V. de Hoop

SIAM J. Sci. Comput., 2013

Randomized Sparse Direct Solvers.

Jianlin Xia

SIAM J. Matrix Anal. Appl., 2013

2012

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

Jianlin Xia, Yuanzhe Xi, Ming Gu

SIAM J. Matrix Anal. Appl., 2012

On the Complexity of Some Hierarchical Structured Matrix Algorithms.

Jianlin Xia

SIAM J. Matrix Anal. Appl., 2012

New Efficient and Robust HSS Cholesky Factorization of SPD Matrices.

Shengguo Li, Ming Gu, Cinna Julie Wu, Jianlin Xia

SIAM J. Matrix Anal. Appl., 2012

A robust inner-outer hierarchically semi-separable preconditioner.

Jianlin Xia

Numer. Linear Algebra Appl., 2012

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

Wei Shi, Xinyuan Wu, Jianlin Xia

J. Comput. Phys., 2012

Robust and Efficient Multifrontal Solver for Large Discretized PDEs.

Jianlin Xia

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

2010

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

Jianlin Xia, Ming Gu

SIAM J. Matrix Anal. Appl., 2010

Fast algorithms for hierarchically semiseparable matrices.

Jianlin Xia, Shivkumar Chandrasekaran, Ming Gu, Xiaoye S. Li

Numer. Linear Algebra Appl., 2010

Acoustic inverse scattering via Helmholtz operator factorization and optimization.

Shen Wang, Maarten V. de Hoop, Jianlin Xia

J. Comput. Phys., 2010

2009

Superfast Multifrontal Method for Large Structured Linear Systems of Equations.

Jianlin Xia, Shivkumar Chandrasekaran, Ming Gu, Xiaoye S. Li

SIAM J. Matrix Anal. Appl., 2009

Order conditions for ARKN methods solving oscillatory systems.

Xinyuan Wu, Xiong You, Jianlin Xia

Comput. Phys. Commun., 2009

2008

Statistical Condition Estimation for the Roots of Polynomials.

Alan J. Laub, Jianlin Xia

SIAM J. Sci. Comput., 2008

Fast Condition Estimation for a Class of Structured Eigenvalue Problems.

Alan J. Laub, Jianlin Xia

SIAM J. Matrix Anal. Appl., 2008

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

Alan J. Laub, Jianlin Xia

Numer. Linear Algebra Appl., 2008

2007

A Superfast Algorithm for Toeplitz Systems of Linear Equations.

Shiv Chandrasekaran, Ming Gu, Xiaotian Sun, Jianlin Xia, Jiang Zhu

SIAM J. Matrix Anal. Appl., 2007

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

Xinyuan Wu, Jianlin Xia

Int. J. Comput. Math., 2007

2006

Fast Methods for Estimating the Distance to Uncontrollability.

Ming Gu, Emre Mengi, Michael L. Overton, Jianlin Xia, Jiang Zhu

SIAM J. Matrix Anal. Appl., 2006

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

Xinyuan Wu, Jianlin Xia

Appl. Math. Comput., 2006

2003

New vector forms of elemental functions with Taylor series.

Xinyuan Wu, Jianlin Xia

Appl. Math. Comput., 2003

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

Xinyuan Wu, Zuhe Shen, Jianlin Xia

Appl. Math. Comput., 2003

2002

Note on global convergence of ODE methods for unconstrained optimization.

Xinyuan Wu, Jianlin Xia, Zixiang Ouyang

Appl. Math. Comput., 2002

2001

Two low accuracy methods for stiff systems.

Xinyuan Wu, Jianlin Xia

Appl. Math. Comput., 2001