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ORCIDJianlin Xia
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- affiliation: Purdue University, West Lafayette, USA
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2020 – today
- 2024
[j46]Zhongyuan Chen, Jiguang Sun, Jianlin Xia
:
A Robust Randomized Indicator Method for Accurate Symmetric Eigenvalue Detection. J. Sci. Comput. 100(2): 48 (2024)- [j45]Mikhail Lepilov, Jianlin Xia:
Rank-structured approximation of some Cauchy matrices with sublinear complexity. Numer. Linear Algebra Appl. 31(1) (2024) - [j44]Jianlin Xia:
Making the Nyström Method Highly Accurate for Low-Rank Approximations. SIAM J. Sci. Comput. 46(2): 1076- (2024) - [c1]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: 1-5 - [i4]Zhiqiang Cai, Tong Ding, Min Liu, Xinyu Liu, Jianlin Xia:
A Structure-Guided Gauss-Newton Method for Shallow ReLU Neural Network. CoRR abs/2404.05064 (2024) - 2023
- [i3]Jianlin Xia:
Making the Nyström method highly accurate for low-rank approximations. CoRR abs/2307.05785 (2023) - 2022
- [j43]Xiao Liu, Jianlin Xia, Maarten V. de Hoop, Xiaofeng Ou:
Interconnected Hierarchical Structures for Fast Direct Elliptic Solution. J. Sci. Comput. 91(1): 15 (2022) - [j42]Xiaofeng Ou, Jianlin Xia:
SuperDC: Superfast Divide-And-Conquer Eigenvalue Decomposition With Improved Stability for Rank-Structured Matrices. SIAM J. Sci. Comput. 44(5): 3041- (2022) - 2021
- [j41]Jianlin Xia:
Robust and Effective eSIF Preconditioning for General Dense SPD Matrices. SIAM J. Sci. Comput. 43(5): S767-S790 (2021) - [i2]Xiaofeng Ou, Jianlin Xia:
SuperDC: Stable superfast divide-and-conquer eigenvalue decomposition. CoRR abs/2108.04209 (2021) - 2020
- [j40]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) - [j39]Xin Ye, Jianlin Xia, Lexing Ying:
Analytical Low-Rank Compression via Proxy Point Selection. SIAM J. Matrix Anal. Appl. 41(3): 1059-1085 (2020) - [j38]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): A1174-A1199 (2020) - [i1]Jianlin Xia:
Robust and effective eSIF preconditioning for general SPD matrices. CoRR abs/2007.03729 (2020)
2010 – 2019
- 2019
- [j37]Jie Shen, Yingwei Wang, Jianlin Xia:
Fast structured Jacobi-Jacobi transforms. Math. Comput. 88(318): 1743-1772 (2019) - 2017
- [j36]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): 1268-1297 (2017) - [j35]Jianlin Xia, Zi-Xing Xing:
Effective and Robust Preconditioning of General SPD Matrices via Structured Incomplete Factorization. SIAM J. Matrix Anal. Appl. 38(4): 1298-1322 (2017) - [j34]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) - 2016
- [j33]Yuanzhe Xi, Jianlin Xia:
On the Stability of Some Hierarchical Rank Structured Matrix Algorithms. SIAM J. Matrix Anal. Appl. 37(3): 1279-1303 (2016) - [j32]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) - [j31]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) - [j30]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) - [j29]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): 21:1-21:21 (2016) - 2015
- [j28]Jianlin Xia, Zhilin Li, Xin Ye:
Effective matrix-free preconditioning for the augmented immersed interface method. J. Comput. Phys. 303: 295-312 (2015) - [j27]Jianlin Xia, Yuanzhe Xi, Stephen Cauley, Venkataramanan Balakrishnan:
Fast Sparse Selected Inversion. SIAM J. Matrix Anal. Appl. 36(3): 1283-1314 (2015) - 2014
- [j26]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): 44-72 (2014) - [j25]Yuanzhe Xi, Jianlin Xia, Raymond H. Chan:
A Fast Randomized Eigensolver with Structured LDL Factorization Update. SIAM J. Matrix Anal. Appl. 35(3): 974-996 (2014) - 2013
- [j24]Jianlin Xia:
Randomized Sparse Direct Solvers. SIAM J. Matrix Anal. Appl. 34(1): 197-227 (2013) - [j23]Jianlin Xia:
Efficient Structured Multifrontal Factorization for General Large Sparse Matrices. SIAM J. Sci. Comput. 35(2) (2013) - [j22]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) - 2012
- [j21]Wei Shi, Xinyuan Wu, Jianlin Xia:
Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations. J. Comput. Phys. 231(22): 7671-7694 (2012) - [j20]Jianlin Xia:
A robust inner-outer hierarchically semi-separable preconditioner. Numer. Linear Algebra Appl. 19(6): 992-1016 (2012) - [j19]Jianlin Xia:
On the Complexity of Some Hierarchical Structured Matrix Algorithms. SIAM J. Matrix Anal. Appl. 33(2): 388-410 (2012) - [j18]Jianlin Xia, Yuanzhe Xi, Ming Gu:
A Superfast Structured Solver for Toeplitz Linear Systems via Randomized Sampling. SIAM J. Matrix Anal. Appl. 33(3): 837-858 (2012) - [j17]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): 886-904 (2012) - [p1]Jianlin Xia:
Robust and Efficient Multifrontal Solver for Large Discretized PDEs. High-Performance Scientific Computing 2012: 199-217 - 2010
- [j16]Shen Wang, Maarten V. de Hoop, Jianlin Xia:
Acoustic inverse scattering via Helmholtz operator factorization and optimization. J. Comput. Phys. 229(22): 8445-8462 (2010) - [j15]Jianlin Xia, Shivkumar Chandrasekaran, Ming Gu, Xiaoye S. Li:
Fast algorithms for hierarchically semiseparable matrices. Numer. Linear Algebra Appl. 17(6): 953-976 (2010) - [j14]Jianlin Xia, Ming Gu:
Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices. SIAM J. Matrix Anal. Appl. 31(5): 2899-2920 (2010)
2000 – 2009
- 2009
- [j13]Xinyuan Wu, Xiong You, Jianlin Xia:
Order conditions for ARKN methods solving oscillatory systems. Comput. Phys. Commun. 180(11): 2250-2257 (2009) - [j12]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): 1382-1411 (2009) - 2008
- [j11]Alan J. Laub, Jianlin Xia:
Applications of statistical condition estimation to the solution of linear systems. Numer. Linear Algebra Appl. 15(6): 489-513 (2008) - [j10]Alan J. Laub, Jianlin Xia:
Fast Condition Estimation for a Class of Structured Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 30(4): 1658-1676 (2008) - [j9]Alan J. Laub, Jianlin Xia:
Statistical Condition Estimation for the Roots of Polynomials. SIAM J. Sci. Comput. 31(1): 624-643 (2008) - 2007
- [j8]Xinyuan Wu, Jianlin Xia:
Study of general Taylor-like explicit methods in solving stiff ordinary differential equations. Int. J. Comput. Math. 84(12): 1795-1803 (2007) - [j7]Shiv Chandrasekaran, Ming Gu, Xiaotian Sun, Jianlin Xia, Jiang Zhu:
A Superfast Algorithm for Toeplitz Systems of Linear Equations. SIAM J. Matrix Anal. Appl. 29(4): 1247-1266 (2007) - 2006
- [j6]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): 1585-1599 (2006) - [j5]Ming Gu, Emre Mengi, Michael L. Overton, Jianlin Xia, Jiang Zhu:
Fast Methods for Estimating the Distance to Uncontrollability. SIAM J. Matrix Anal. Appl. 28(2): 477-502 (2006) - 2003
- [j4]Xinyuan Wu, Jianlin Xia:
New vector forms of elemental functions with Taylor series. Appl. Math. Comput. 141(2-3): 307-312 (2003) - [j3]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): 381-388 (2003) - 2002
- [j2]Xinyuan Wu, Jianlin Xia, Zixiang Ouyang:
Note on global convergence of ODE methods for unconstrained optimization. Appl. Math. Comput. 125(2-3): 311-315 (2002) - 2001
- [j1]Xinyuan Wu, Jianlin Xia:
Two low accuracy methods for stiff systems. Appl. Math. Comput. 123(2): 141-153 (2001)
Coauthor Index
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