Two low accuracy methods for stiff systems. - Xinyuan Wu; Jianlin Xia (Appl. Math. Comput., 2001)

Note on global convergence of ODE methods for unconstrained optimization. - Xinyuan Wu; Jianlin Xia; Zixiang Ouyang (Appl. Math. Comput., 2002)

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)

New vector forms of elemental functions with Taylor series. - Xinyuan Wu; Jianlin Xia (Appl. Math. Comput., 2003)

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)

Fast Methods for Estimating the Distance to Uncontrollability. - Ming Gu 002; Emre Mengi; Michael L. Overton; Jianlin Xia; Jiang Zhu (SIAM J. Matrix Anal. Appl., 2006)

Study of general Taylor-like explicit methods in solving stiff ordinary differential equations. - Xinyuan Wu; Jianlin Xia (Int. J. Comput. Math., 2007)

A Superfast Algorithm for Toeplitz Systems of Linear Equations. - Shiv Chandrasekaran; Ming Gu 002; Xiaotian Sun; Jianlin Xia; Jiang Zhu (SIAM J. Matrix Anal. Appl., 2007)

Applications of statistical condition estimation to the solution of linear systems. - Alan J. Laub; Jianlin Xia (Numer. Linear Algebra Appl., 2008)

Fast Condition Estimation for a Class of Structured Eigenvalue Problems. - Alan J. Laub; Jianlin Xia (SIAM J. Matrix Anal. Appl., 2008)

Statistical Condition Estimation for the Roots of Polynomials. - Alan J. Laub; Jianlin Xia (SIAM J. Sci. Comput., 2008)

Order conditions for ARKN methods solving oscillatory systems. - Xinyuan Wu; Xiong You; Jianlin Xia (Comput. Phys. Commun., 2009)

Superfast Multifrontal Method for Large Structured Linear Systems of Equations. - Jianlin Xia; Shivkumar Chandrasekaran; Ming Gu 002; Xiaoye S. Li (SIAM J. Matrix Anal. Appl., 2009)

Acoustic inverse scattering via Helmholtz operator factorization and optimization. - Shen Wang; Maarten V. de Hoop; Jianlin Xia (J. Comput. Phys., 2010)

Fast algorithms for hierarchically semiseparable matrices. - Jianlin Xia; Shivkumar Chandrasekaran; Ming Gu 002; Xiaoye S. Li (Numer. Linear Algebra Appl., 2010)

Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices. - Jianlin Xia; Ming Gu 002 (SIAM J. Matrix Anal. Appl., 2010)

Robust and Efficient Multifrontal Solver for Large Discretized PDEs. - Jianlin Xia (High-Performance Scientific Computing, 2012)

Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations. - Wei Shi; Xinyuan Wu; Jianlin Xia (J. Comput. Phys., 2012)

A robust inner-outer hierarchically semi-separable preconditioner. - Jianlin Xia (Numer. Linear Algebra Appl., 2012)

New Efficient and Robust HSS Cholesky Factorization of SPD Matrices. - Shengguo Li; Ming Gu 002; Cinna Julie Wu; Jianlin Xia (SIAM J. Matrix Anal. Appl., 2012)

On the Complexity of Some Hierarchical Structured Matrix Algorithms. - Jianlin Xia (SIAM J. Matrix Anal. Appl., 2012)

A Superfast Structured Solver for Toeplitz Linear Systems via Randomized Sampling. - Jianlin Xia; Yuanzhe Xi; Ming Gu 002 (SIAM J. Matrix Anal. Appl., 2012)

Randomized Sparse Direct Solvers. - Jianlin Xia (SIAM J. Matrix Anal. Appl., 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)

Efficient Structured Multifrontal Factorization for General Large Sparse Matrices. - Jianlin Xia (SIAM J. Sci. Comput., 2013)

A Fast Randomized Eigensolver with Structured LDL Factorization Update. - Yuanzhe Xi; Jianlin Xia; Raymond H. Chan (SIAM J. Matrix Anal. Appl., 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)

Effective matrix-free preconditioning for the augmented immersed interface method. - Jianlin Xia; Zhilin Li 002; Xin Ye 005 (J. Comput. Phys., 2015)

Fast Sparse Selected Inversion. - Jianlin Xia; Yuanzhe Xi; Stephen Cauley; Venkataramanan Balakrishnan (SIAM J. Matrix Anal. Appl., 2015)

On the Stability of Some Hierarchical Rank Structured Matrix Algorithms. - Yuanzhe Xi; Jianlin Xia (SIAM J. Matrix Anal. Appl., 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)

Fast Structured Direct Spectral Methods for Differential Equations with Variable Coefficients, I. The One-Dimensional Case. - Jie Shen 001; Yingwei Wang 001; Jianlin Xia (SIAM J. Sci. Comput., 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)

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)

A Fast Contour-Integral Eigensolver for Non-Hermitian Matrices. - Xin Ye 005; Jianlin Xia; Raymond H. Chan; Stephen Cauley; Venkataramanan Balakrishnan (SIAM J. Matrix Anal. Appl., 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 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)

Fast structured Jacobi-Jacobi transforms. - Jie Shen 001; Yingwei Wang 001; Jianlin Xia (Math. Comput., 2019)

Robust and effective eSIF preconditioning for general SPD matrices. - Jianlin Xia (CoRR, 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)

Analytical Low-Rank Compression via Proxy Point Selection. - Xin Ye 005; Jianlin Xia; Lexing Ying (SIAM J. Matrix Anal. Appl., 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)

SuperDC: Stable superfast divide-and-conquer eigenvalue decomposition. - Xiaofeng Ou; Jianlin Xia (CoRR, 2021)

Robust and Effective eSIF Preconditioning for General Dense SPD Matrices. - Jianlin Xia (SIAM J. Sci. Comput., 2021)

Interconnected Hierarchical Structures for Fast Direct Elliptic Solution. - Xiao Liu; Jianlin Xia; Maarten V. de Hoop; Xiaofeng Ou (J. Sci. Comput., 2022)

SuperDC: Superfast Divide-And-Conquer Eigenvalue Decomposition With Improved Stability for Rank-Structured Matrices. - Xiaofeng Ou; Jianlin Xia (SIAM J. Sci. Comput., 2022)

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 004; Feng Lin 001; Weifeng Sun (ISCAS, 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 fast continuous-time demodulation circuit for a Hall sensor with stack capacitor offset cancellation technique. - Yongjia Li; Feng Cheng; Lei Zhang; Jianlin Xia; Zhongyuan Fang; Long Zhang; Weifeng Sun (IEICE Electron. Express, 2024)

Making the Nyström Method Highly Accurate for Low-Rank Approximations. - Jianlin Xia (SIAM J. Sci. Comput., 2024)

Rank-structured approximation of some Cauchy matrices with sublinear complexity. - Mikhail Lepilov; Jianlin Xia (Numer. Linear Algebra Appl., 2024)

A Robust Randomized Indicator Method for Accurate Symmetric Eigenvalue Detection. - Zhongyuan Chen; Jiguang Sun; Jianlin Xia (J. Sci. Comput., 2024)

A Stable Matrix Version of the 2D Fast Multipole Method. - Xiaofeng Ou; Michelle Michelle; Jianlin Xia (SIAM J. Matrix Anal. Appl., 2025)

A 870 ppm/V 53 ppm/ ° C 7 MHz Non-Trimmed RC Relaxation Oscillator Using Mixed-Signal Compensation Loop From - 40 ∘C to 165 ∘C. - Jianlin Xia; Yongjia Li; Weiyue Qu; Zhongyuan Fang; Jin Wu 004; Feng Lin 001; Encheng Zhu; Weifeng Sun (IEEE Trans. Circuits Syst. I Regul. Pap., 2025)