Jianlin Xia

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 23

Top Topics

Highly Accurate

Hierarchical Structures

Top Venues

SIAM J. Sci. Comput.

SIAM J. Matrix Anal. Appl.

Numer. Linear Algebra Appl.

Publications

Jianlin Xia
Making the Nyström Method Highly Accurate for Low-Rank Approximations. SIAM J. Sci. Comput. 46 (2) (2024)
Mikhail Lepilov, Jianlin Xia
Rank-structured approximation of some Cauchy matrices with sublinear complexity. Numer. Linear Algebra Appl. 31 (1) (2024)
Jianlin Xia, Yongjia Li, Zhongyuan Fang, Jin Wu, Feng Lin, Weifeng Sun
A Non-trimmed, 7 MHz and 52 ppm/°C Relaxation Oscillator with Loop Errors Compensation from -40°C to 165°C. ISCAS (2024)
Zhongyuan Chen, Jiguang Sun, Jianlin Xia
A Robust Randomized Indicator Method for Accurate Symmetric Eigenvalue Detection. J. Sci. Comput. 100 (2) (2024)
Zhiqiang Cai, Tong Ding, Min Liu, Xinyu Liu, Jianlin Xia
A Structure-Guided Gauss-Newton Method for Shallow ReLU Neural Network. CoRR (2024)
Jianlin Xia
Making the Nyström method highly accurate for low-rank approximations. CoRR (2023)
Xiao Liu, Jianlin Xia, Maarten V. de Hoop, Xiaofeng Ou
Interconnected Hierarchical Structures for Fast Direct Elliptic Solution. J. Sci. Comput. 91 (1) (2022)
Xiaofeng Ou, Jianlin Xia
SuperDC: Superfast Divide-And-Conquer Eigenvalue Decomposition With Improved Stability for Rank-Structured Matrices. SIAM J. Sci. Comput. 44 (5) (2022)
Jianlin Xia
Robust and Effective eSIF Preconditioning for General Dense SPD Matrices. SIAM J. Sci. Comput. 43 (5) (2021)
Xiaofeng Ou, Jianlin Xia
SuperDC: Stable superfast divide-and-conquer eigenvalue decomposition. CoRR (2021)
Xiao Liu, Jianlin Xia, Maarten V. de Hoop
Fast Factorization Update for General Elliptic Equations Under Multiple Coefficient Updates. SIAM J. Sci. Comput. 42 (2) (2020)
Xin Ye, Jianlin Xia, Lexing Ying
Analytical Low-Rank Compression via Proxy Point Selection. SIAM J. Matrix Anal. Appl. 41 (3) (2020)
Zi-Xing Xing, Jianlin Xia, Stephen Cauley, Venkataramanan Balakrishnan
Effectiveness and robustness revisited for a preconditioning technique based on structured incomplete factorization. Numer. Linear Algebra Appl. 27 (3) (2020)
Jianlin Xia
Robust and effective eSIF preconditioning for general SPD matrices. CoRR (2020)
Jie Shen, Yingwei Wang, Jianlin Xia
Fast structured Jacobi-Jacobi transforms. Math. Comput. 88 (318) (2019)
Jianlin Xia, Zi-Xing Xing
Effective and Robust Preconditioning of General SPD Matrices via Structured Incomplete Factorization. SIAM J. Matrix Anal. Appl. 38 (4) (2017)
Xin Ye, Jianlin Xia, Raymond H. Chan, Stephen Cauley, Venkataramanan Balakrishnan
A Fast Contour-Integral Eigensolver for Non-Hermitian Matrices. SIAM J. Matrix Anal. Appl. 38 (4) (2017)
Zi-Xing Xing, Jianlin Xia, Maarten V. de Hoop, Stephen Cauley, Venkataramanan Balakrishnan
A Distributed-Memory Randomized Structured Multifrontal Method for Sparse Direct Solutions. SIAM J. Sci. Comput. 39 (4) (2017)
Yuanzhe Xi, Jianlin Xia
On the Stability of Some Hierarchical Rank Structured Matrix Algorithms. SIAM J. Matrix Anal. Appl. 37 (3) (2016)
James Vogel, Jianlin Xia, Stephen Cauley, Venkataramanan Balakrishnan
Superfast Divide-and-Conquer Method and Perturbation Analysis for Structured Eigenvalue Solutions. SIAM J. Sci. Comput. 38 (3) (2016)
Shen Wang, Xiaoye S. Li, François-Henry Rouet, Jianlin Xia, Maarten V. de Hoop
A Parallel Geometric Multifrontal Solver Using Hierarchically Semiseparable Structure. ACM Trans. Math. Softw. 42 (3) (2016)
Xiao Liu, Jianlin Xia, Maarten V. de Hoop
Parallel Randomized and Matrix-Free Direct Solvers for Large Structured Dense Linear Systems. SIAM J. Sci. Comput. 38 (5) (2016)
Jie Shen, Yingwei Wang, Jianlin Xia
Fast Structured Direct Spectral Methods for Differential Equations with Variable Coefficients, I. The One-Dimensional Case. SIAM J. Sci. Comput. 38 (1) (2016)
Jianlin Xia, Zhilin Li, Xin Ye
Effective matrix-free preconditioning for the augmented immersed interface method. J. Comput. Phys. 303 (2015)
Jianlin Xia, Yuanzhe Xi, Stephen Cauley, Venkataramanan Balakrishnan
Fast Sparse Selected Inversion. SIAM J. Matrix Anal. Appl. 36 (3) (2015)
Yuanzhe Xi, Jianlin Xia, Stephen Cauley, Venkataramanan Balakrishnan
Superfast and Stable Structured Solvers for Toeplitz Least Squares via Randomized Sampling. SIAM J. Matrix Anal. Appl. 35 (1) (2014)
Yuanzhe Xi, Jianlin Xia, Raymond H. Chan
A Fast Randomized Eigensolver with Structured LDL Factorization Update. SIAM J. Matrix Anal. Appl. 35 (3) (2014)
Shen Wang, Xiaoye S. Li, Jianlin Xia, Yingchong Situ, Maarten V. de Hoop
Efficient Scalable Algorithms for Solving Dense Linear Systems with Hierarchically Semiseparable Structures. SIAM J. Sci. Comput. 35 (6) (2013)
Jianlin Xia
Randomized Sparse Direct Solvers. SIAM J. Matrix Anal. Appl. 34 (1) (2013)
Jianlin Xia
Efficient Structured Multifrontal Factorization for General Large Sparse Matrices. SIAM J. Sci. Comput. 35 (2) (2013)
Jianlin Xia, Yuanzhe Xi, Ming Gu
A Superfast Structured Solver for Toeplitz Linear Systems via Randomized Sampling. SIAM J. Matrix Anal. Appl. 33 (3) (2012)
Jianlin Xia
A robust inner-outer hierarchically semi-separable preconditioner. Numer. Linear Algebra Appl. 19 (6) (2012)
Shengguo Li, Ming Gu, Cinna Julie Wu, Jianlin Xia
New Efficient and Robust HSS Cholesky Factorization of SPD Matrices. SIAM J. Matrix Anal. Appl. 33 (3) (2012)
Jianlin Xia
On the Complexity of Some Hierarchical Structured Matrix Algorithms. SIAM J. Matrix Anal. Appl. 33 (2) (2012)
Wei Shi, Xinyuan Wu, Jianlin Xia
Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations. J. Comput. Phys. 231 (22) (2012)
Jianlin Xia, Shivkumar Chandrasekaran, Ming Gu, Xiaoye S. Li
Fast algorithms for hierarchically semiseparable matrices. Numer. Linear Algebra Appl. 17 (6) (2010)
Jianlin Xia, Ming Gu
Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices. SIAM J. Matrix Anal. Appl. 31 (5) (2010)
Shen Wang, Maarten V. de Hoop, Jianlin Xia
Acoustic inverse scattering via Helmholtz operator factorization and optimization. J. Comput. Phys. 229 (22) (2010)
Xinyuan Wu, Xiong You, Jianlin Xia
Order conditions for ARKN methods solving oscillatory systems. Comput. Phys. Commun. 180 (11) (2009)
Jianlin Xia, Shivkumar Chandrasekaran, Ming Gu, Xiaoye S. Li
Superfast Multifrontal Method for Large Structured Linear Systems of Equations. SIAM J. Matrix Anal. Appl. 31 (3) (2009)
Alan J. Laub, Jianlin Xia
Applications of statistical condition estimation to the solution of linear systems. Numer. Linear Algebra Appl. 15 (6) (2008)
Alan J. Laub, Jianlin Xia
Statistical Condition Estimation for the Roots of Polynomials. SIAM J. Sci. Comput. 31 (1) (2008)
Alan J. Laub, Jianlin Xia
Fast Condition Estimation for a Class of Structured Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 30 (4) (2008)
Xinyuan Wu, Jianlin Xia
Study of general Taylor-like explicit methods in solving stiff ordinary differential equations. Int. J. Comput. Math. 84 (12) (2007)
Xinyuan Wu, Jianlin Xia
Some substantial modifications and improvements for derivative-free iterative methods and derivative-free transformation for multiple zeros. Appl. Math. Comput. 181 (2) (2006)
Xinyuan Wu, Zuhe Shen, Jianlin Xia
An improved regula falsi method with quadratic convergence of both diameter and point for enclosing simple zeros of nonlinear equations. Appl. Math. Comput. 144 (2-3) (2003)
Xinyuan Wu, Jianlin Xia
New vector forms of elemental functions with Taylor series. Appl. Math. Comput. 141 (2-3) (2003)
Xinyuan Wu, Jianlin Xia, Zixiang Ouyang
Note on global convergence of ODE methods for unconstrained optimization. Appl. Math. Comput. 125 (2-3) (2002)
Xinyuan Wu, Jianlin Xia
Two low accuracy methods for stiff systems. Appl. Math. Comput. 123 (2) (2001)