J. Xia

发表

FAST FACTORIZATION UPDATE FOR GENERAL ELLIPTIC

M. V. Hoop, J. Xia, 2020 .

A fast direct elliptic solver via interconnected hierarchical structures

M. V. Hoop, J. Xia, Xiao Liu, 2019 .

FAST STRUCTURED EIGENSOLVER FOR DISCRETIZED PARTIAL DIFFERENTIAL OPERATORS ON GENERAL MESHES

M. V. Hoop, J. Xia, XI Yuanzhe, 2012 .

On 3D modeling of seismic wave propagation via a structured parallel multifrontal direct Helmholtz solver

Jianlin Xia, Shen Wang, Maarten V. de Hoop, 2011 .

Quadratically convergent multiple roots finding method without derivatives

Jianlin Xia, Xinyuan Wu, Xinyuan Wu, 2001 .

Massively parallel structured direct solver for equations describing time-harmonic qP-polarized waves in TTI media

Xiaoye S. Li, M. V. Hoop, J. Xia, 2012 .

A stable matrix version of the fast multipole method: stabilization strategies and examples

J. Xia, Difeng Cai, 2021, ETNA - Electronic Transactions on Numerical Analysis.

INTERCONNECTED HIERARCHICAL RANK-STRUCTURED METHODS FOR DIRECTLY SOLVING AND PRECONDITIONING THE HELMHOLTZ EQUATION

M. V. Hoop, J. Xia, 2018 .

3D Frequency Domain Full Waveform Inversion via a Massively Parallel Structured Multifrontal Solver

Jianlin Xia, Maarten V. de Hoop, Shen Wang, 2012 .

NONSYMMETRIC STRUCTURED MULTIFRONTAL METHODS FOR SPARSE MATRICES WITH APPLICATION TO SOLVING THE HELMHOLTZ EQUATION

V. Balakrishnan, M. V. Hoop, S. Cauley, 2014 .

SEISMIC INVERSE SCATTERING VIA DISCRETE HELMHOLTZ OPERATOR FACTORIZATION AND OPTIMIZATION

M. V. Hoop, J. Xia, Shen Wang, 2011 .

3D Modeling of Time-Harmonic Elastic Waves in Anisotropic Media Using a Direct Helmholtz Solver

Xiaoye S. Li, M. V. Hoop, J. Xia, 2012 .

EFFECTIVENESS AND ROBUSTNESS REVISITED FOR 1 AN SIF PRECONDITIONING TECHNIQUE

S. Cauley, J. Xia, 2019 .

MFRS : AN ALGORITHM FOR THE STRUCTURED MULTIFRONTAL SOLUTION OF LARGE SPARSE MATRICES VIA RANDOMIZED SAMPLING

M. V. Hoop, J. Xia, Shen Wang, 2012 .

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

J. Xia, Xiaofeng Ou, 2022, SIAM J. Sci. Comput..

Multi-Layer Hierarchical Structures

J. Xia, 2021, CSIAM Transactions on Applied Mathematics.

Low-Rank Update Eigensolver for Supercell Band Structure Calculations

B. Parlett, D. Ting, J. Xia, 2001 .

Efficient Parallel Algorithms For Hierarchically SemiSeparable (HSS) Matrices: Kernel of a Massively Parallel Structured Direct Helmholtz Solver

Xiaoye S. Li, M. V. Hoop, J. Xia, 2011 .

Fast Methods for Estimating the Distance to Uncontrollability

Ming Gu, Michael L. Overton, Emre Mengi, 2006, SIAM J. Matrix Anal. Appl..

Fast algorithms for hierarchically semiseparable matrices

Jianlin Xia, Xiaoye S. Li, Shivkumar Chandrasekaran, 2010, Numer. Linear Algebra Appl..

Applications of statistical condition estimation to the solution of linear systems

Jianlin Xia, Alan J. Laub, A. Laub, 2008, Numer. Linear Algebra Appl..

A Superfast Structured Solver for Toeplitz Linear Systems via Randomized Sampling

Jianlin Xia, Yuanzhe Xi, Ming Gu, 2012, SIAM J. Matrix Anal. Appl..

Superfast Multifrontal Method for Large Structured Linear Systems of Equations

Jianlin Xia, Xiaoye S. Li, Shivkumar Chandrasekaran, 2009, SIAM J. Matrix Anal. Appl..

SUPERFAST MULTIFRONTAL METHOD FOR STRUCTURED LINEAR SYSTEMS OF EQUATIONS

S. Chandrasekaran, G. M., J. Xia, 2007 .

Massively parallel structured multifrontal solver for time-harmonic elastic waves in 3-D anisotropic media

Jianlin Xia, Xiaoye S. Li, Maarten V. de Hoop, 2012 .

Order conditions for ARKN methods solving oscillatory systems

Jianlin Xia, Xinyuan Wu, Xiong You, 2009, Comput. Phys. Commun..

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

JAMES VOGEL, JIANLIN XIA, STEPHEN CAULEY, 2016, SIAM J. Sci. Comput..

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

JIANLIN XIA, XIAO LIU, MAARTEN V. DE HOOP, 2016, SIAM J. Sci. Comput..

On the Stability of Some Hierarchical Rank Structured Matrix Algorithms

Jianlin Xia, Yuanzhe Xi, Yuanzhe Xi, 2016, SIAM J. Matrix Anal. Appl..

A Parallel Geometric Multifrontal Solver Using Hierarchically Semiseparable Structure

Jianlin Xia, Xiaoye S. Li, François-Henry Rouet, 2016, ACM Trans. Math. Softw..

Fast Sparse Selected Inversion

Jianlin Xia, Venkataramanan Balakrishnan, Yuanzhe Xi, 2015, SIAM J. Matrix Anal. Appl..

A Fast Randomized Eigensolver with Structured LDL Factorization Update

Raymond H. Chan, Jianlin Xia, Yuanzhe Xi, 2014, SIAM J. Matrix Anal. Appl..

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

Jianlin Xia, Xiaoye S. Li, Shen Wang, 2013, SIAM J. Sci. Comput..

On the Complexity of Some Hierarchical Structured Matrix Algorithms

Jianlin Xia, J. Xia, 2012, SIAM J. Matrix Anal. Appl..

Efficient scalable algorithms for hierarchically semiseparable matrices

Jianlin Xia, Shen Wang, Yingchong Situ, 2011 .

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

Jianlin Xia, Ming Gu, M. Gu, 2010, SIAM J. Matrix Anal. Appl..

MULTI-LAYER HIERARCHICAL STRUCTURES AND FACTORIZATIONS

JIANLIN XIA, J. Xia, 2016 .

A STABLE AND EFFICIENT MATRIX VERSION OF THE FAST MULTIPOLE METHOD

J. Xia, Difeng Cai, 2016 .

EFFICIENT PARALLEL ALGORITHMS FOR HIERARCHICALLY SEMISEPARABLE MATRICES

M. V. Hoop, J. Xia, Shen Wang, 2022 .

Analytical Low-Rank Compression via Proxy Point Selection

Jianlin Xia, Lexing Ying, Xin Ye, 2019, SIAM J. Matrix Anal. Appl..

Multilevel summation with B-spline interpolation for pairwise interactions in molecular dynamics simulations.

Jianlin Xia, Klaus Schulten, David J. Hardy, 2016, The Journal of chemical physics.

A Fast QR Algorithm for Companion Matrices

Jianlin Xia, Ming Gu, S. Chandrasekaran, 2007 .

Two low accuracy methods for stiff systems

Jianlin Xia, Xinyuan Wu, Xinyuan Wu, 2001, Appl. Math. Comput..

Acoustic inverse scattering via Helmholtz operator factorization and optimization

Jianlin Xia, Shen Wang, Maarten V. de Hoop, 2010, J. Comput. Phys..

A Fast Contour-Integral Eigensolver for Non-Hermitian Matrices

Raymond H. Chan, Jianlin Xia, Venkataramanan Balakrishnan, 2017, SIAM J. Matrix Anal. Appl..

Randomized Sparse Direct Solvers

Jianlin Xia, J. Xia, 2013, SIAM J. Matrix Anal. Appl..

Efficient Structured Multifrontal Factorization for General Large Sparse Matrices

Jianlin Xia, J. Xia, 2013, SIAM J. Sci. Comput..

A robust inner–outer hierarchically semi‐separable preconditioner

Jianlin Xia, J. Xia, 2012, Numer. Linear Algebra Appl..

New Efficient and Robust HSS Cholesky Factorization of SPD Matrices

Jianlin Xia, Ming Gu, Shengguo Li, 2012, SIAM J. Matrix Anal. Appl..

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

Jianlin Xia, Wei Shi, Xinyuan Wu, 2012, J. Comput. Phys..

Error bounds for explicit ERKN integrators for systems of multi-frequency oscillatory second-order differential equations

Jianlin Xia, Xinyuan Wu, Bin Wang, 2013 .

Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods

Jianlin Xia, Xinyuan Wu, Bin Wang, 2012 .

Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods

Xinyuan Wu, J. Xia, Bin Wang, 2012, BIT Numerical Mathematics.

Seismic Inverse Scattering Via Helmholtz Operator Factorization And Optimization

Jianlin Xia, Shen Wang, Maarten V. de Hoop, 2009 .

ANISOTROPIC ‘ HELMHOLTZ ’ EQUATIONS : MASSIVELY PARALLEL STRUCTURED MULTIFRONTAL SOLVER USING NESTED DISSECTION BASED DOMAIN DECOMPOSITION WITH SEPARATORS OF VARIABLE THICKNESS

M. V. Hoop, J. Xia, Shen Wang, 2022 .

Making the Nyström method highly accurate for low-rank approximations

J. Xia, 2023, ArXiv.

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

Jianlin Xia, Venkataramanan Balakrishnan, Stephen Cauley, 2020, Numer. Linear Algebra Appl..

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

Jianlin Xia, Zi-Xing Xing, J. Xia, 2017, SIAM J. Matrix Anal. Appl..

ROBUST STRUCTURED MULTIFRONTAL FACTORIZATION AND PRECONDITIONING FOR DISCRETIZED PDES

JIANLIN XIA, J. Xia, 2011 .

The vector form of a sixth-order A-stable explicit one-step method for stiff problems

Jianlin Xia, Xinyuan Wu, Xinyuan Wu, 2000 .

Effective matrix-free preconditioning for the augmented immersed interface method

Jianlin Xia, Zhilin Li, Xin Ye, 2015, J. Comput. Phys..

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

Jianlin Xia, Xinyuan Wu, Xinyuan Wu, 2006, Appl. Math. Comput..

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

Jianlin Xia, Xinyuan Wu, Zuhe Shen, 2003, Appl. Math. Comput..

Fast structured Jacobi-Jacobi transforms

Jie Shen, Jianlin Xia, Yingwei Wang, 2018, Math. Comput..

A Superfast Algorithm for Toeplitz Systems of Linear Equations

Shivkumar Chandrasekaran, Ming Gu, X. Sun, 2007, SIAM J. Matrix Anal. Appl..

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

Jianlin Xia, Venkataramanan Balakrishnan, Yuanzhe Xi, 2014, SIAM J. Matrix Anal. Appl..

Robust and Efficient Multifrontal Solver for Large Discretized PDEs

Jianlin Xia, J. Xia, 2012, High-Performance Scientific Computing.

Extended Runge-Kutta-like formulae

Jianlin Xia, Xinyuan Wu, Xinyuan Wu, 2006 .

Rank‐structured approximation of some Cauchy matrices with sublinear complexity

J. Xia, Mikhail Lepilov, 2023, Numer. Linear Algebra Appl..

Error analysis of a new transformation for multiple zeros finding free from derivative evaluations

Jianlin Xia, Xinyuan Wu, Xinyuan Wu, 2003 .

Robust and Effective eSIF Preconditioning for General Dense SPD Matrices

Jianlin Xia, J. Xia, 2021, SIAM J. Sci. Comput..