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2020 – today
- 2024
[j62]Ding Lu
, Ren-Cang Li:
Locally unitarily invariantizable NEPv and convergence analysis of SCF. Math. Comput. 93(349): 2291-2329 (2024)- [i19]Cairong Chen, Xuehua Li, Ren-Cang Li:
Existence and nonexistence of solutions for underdetermined generalized absolute value equations. CoRR abs/2405.16172 (2024) - [i18]Lei-Hong Zhang, Ren-Cang Li:
Quality of Approximate Balanced Truncation. CoRR abs/2406.05665 (2024) - [i17]Ren-Cang Li, Ninoslav Truhar, Lei-Hong Zhang:
On Stewart's Perturbation Theorem for SVD. CoRR abs/2406.06901 (2024) - [i16]Mei Yang, Gül Karaduman, Ren-Cang Li:
Flexible Modified LSMR Method for Least Squares Problems. CoRR abs/2408.16652 (2024) - 2023
- [j61]Li Wang, Lei-Hong Zhang, Ren-Cang Li:
Trace ratio optimization with an application to multi-view learning. Math. Program. 201(1): 97-131 (2023) - [j60]Li Wang, Ren-Cang Li, Wen-Wei Lin:
Multiview Orthonormalized Partial Least Squares: Regularizations and Deep Extensions. IEEE Trans. Neural Networks Learn. Syst. 34(8): 4371-4385 (2023) - [i15]Xin Liang, Ren-Cang Li:
On Generalizing Trace Minimization Principles, II. CoRR abs/2303.13092 (2023) - [i14]Zhongming Teng, Ren-Cang Li:
Variations of Orthonormal Basis Matrices of Subspaces. CoRR abs/2304.00304 (2023) - [i13]Tsung-Ming Huang, Yueh-Cheng Kuo, Ren-Cang Li, Wen-Wei Lin:
On Novel Fixed-Point-Type Iterations with Structure-Preserving Doubling Algorithms for Stochastic Continuous-time Algebraic Riccati equations. CoRR abs/2312.00328 (2023) - 2022
- [j59]Xijun Ma, Chungen Shen, Li Wang, Lei-Hong Zhang, Ren-Cang Li:
A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction. Adv. Comput. Math. 48(2): 13 (2022) - [j58]Li Wang, Lei-Hong Zhang, Chungen Shen, Ren-Cang Li:
Orthogonal multi-view analysis by successive approximations via eigenvectors. Neurocomputing 512: 100-116 (2022) - [j57]Li Wang, Lei-Hong Zhang, Ren-Cang Li:
Maximizing sum of coupled traces with applications. Numerische Mathematik 152(3): 587-629 (2022) - [j56]Lei-Hong Zhang, Li Wang, Zhaojun Bai, Ren-Cang Li:
A Self-Consistent-Field Iteration for Orthogonal Canonical Correlation Analysis. IEEE Trans. Pattern Anal. Mach. Intell. 44(2): 890-904 (2022) - [j55]Zhaojun Bai, Ren-Cang Li, Ding Lu:
Sharp Estimation of Convergence Rate for Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 43(1): 301-327 (2022) - [j54]Li Wang, Ren-Cang Li:
A Scalable Algorithm for Large-Scale Unsupervised Multi-View Partial Least Squares. IEEE Trans. Big Data 8(4): 1073-1083 (2022) - [i12]Ding Lu, Ren-Cang Li:
Convergence of SCF for Locally Unitarily Invariantizable NEPv. CoRR abs/2212.14098 (2022) - 2021
- [j53]Ninoslav Truhar, Ren-Cang Li:
On an eigenvector-dependent nonlinear eigenvalue problem from the perspective of relative perturbation theory. J. Comput. Appl. Math. 395: 113596 (2021) - [j52]Changli Liu, Wei-Guo Wang, Jungong Xue, Ren-Cang Li:
Accurate numerical solution for structured M-matrix algebraic Riccati equations. J. Comput. Appl. Math. 396: 113614 (2021) - [j51]Feng Liu, Li Wang, Yifei Lou, Ren-Cang Li, Patrick L. Purdon:
Probabilistic Structure Learning for EEG/MEG Source Imaging With Hierarchical Graph Priors. IEEE Trans. Medical Imaging 40(1): 321-334 (2021) - [i11]Li Wang, Lei-Hong Zhang, Ren-Cang Li:
Trace Ratio Optimization with an Application to Multi-view Learning. CoRR abs/2101.04292 (2021) - [i10]Xin Liang, Li Wang, Lei-Hong Zhang, Ren-Cang Li:
On Generalizing Trace Minimization. CoRR abs/2104.00257 (2021) - 2020
- [j50]Ninoslav Truhar, Zoran Tomljanovic, Ren-Cang Li:
Perturbation theory for Hermitian quadratic eigenvalue problem - damped and simultaneously diagonalizable systems. Appl. Math. Comput. 371 (2020) - [j49]Changli Liu, Jungong Xue, Ren-Cang Li:
Accurate Numerical Solution for Shifted M-Matrix Algebraic Riccati Equations. J. Sci. Comput. 84(1): 15 (2020) - [j48]Li Wang, Lei-Hong Zhang, Zhaojun Bai, Ren-Cang Li:
Orthogonal canonical correlation analysis and applications. Optim. Methods Softw. 35(4): 787-807 (2020) - [j47]Anne Greenbaum, Ren-Cang Li, Michael L. Overton:
First-Order Perturbation Theory for Eigenvalues and Eigenvectors. SIAM Rev. 62(2): 463-482 (2020) - [j46]Li Wang, Ren-Cang Li:
Learning Low-Dimensional Latent Graph Structures: A Density Estimation Approach. IEEE Trans. Neural Networks Learn. Syst. 31(4): 1098-1112 (2020) - [i9]Li Wang, Ren-Cang Li, Wen-Wei Lin:
Multi-view Orthonormalized Partial Least Squares: Regularizations and Deep Extensions. CoRR abs/2007.05028 (2020) - [i8]Zhaojun Bai, Ren-Cang Li, Ding Lu:
Optimal Convergence Rate of Self-Consistent Field Iteration for Solving Eigenvector-dependent Nonlinear Eigenvalue Problems. CoRR abs/2009.09022 (2020) - [i7]Li Wang, Lei-Hong Zhang, Chungen Shen, Ren-Cang Li:
Orthogonal Multi-view Analysis by Successive Approximations via Eigenvectors. CoRR abs/2010.01632 (2020) - [i6]Li Wang, Lei-Hong Zhang, Chungen Shen, Ren-Cang Li:
Uncorrelated Semi-paired Subspace Learning. CoRR abs/2011.11124 (2020)
2010 – 2019
- 2019
- [j45]Xiang Wang, Xing Li, Lei-Hong Zhang, Ren-Cang Li:
An Efficient Numerical Method for the Symmetric Positive Definite Second-Order Cone Linear Complementarity Problem. J. Sci. Comput. 79(3): 1608-1629 (2019) - [i5]Anne Greenbaum, Ren-Cang Li, Michael L. Overton:
First-order Perturbation Theory for Eigenvalues and Eigenvectors. CoRR abs/1903.00785 (2019) - [i4]Feng Liu, Li Wang, Yifei Lou, Ren-Cang Li, Patrick L. Purdon:
Probabilistic Structure Learning for EEG/MEG Source Imaging with Hierarchical Graph Prior. CoRR abs/1906.02252 (2019) - [i3]Lei-Hong Zhang, Li Wang, Zhaojun Bai, Ren-Cang Li:
A Self-consistent-field Iteration for Orthogonal Canonical Correlation Analysis. CoRR abs/1909.11527 (2019) - [i2]Yunshen Zhou, Zhaojun Bai, Ren-Cang Li:
Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms. CoRR abs/1911.02770 (2019) - 2018
- [j44]Yunfeng Cai, Lei-Hong Zhang, Zhaojun Bai, Ren-Cang Li:
On an Eigenvector-Dependent Nonlinear Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 39(3): 1360-1382 (2018) - [c5]Zigen Song, Melinda Baxter, Mingwu Jin, Jian-Xiong Wang, Ren-Cang Li, Talon Johnson, Jianzhong Su:
Sparse Sampling and Fully-3D Fast Total Variation Based Imaging Reconstruction for Chemical Shift Imaging in Magnetic Resonance Spectroscopy. BI 2018: 479-485 - 2017
- [j43]Jungong Xue, Ren-Cang Li:
Highly accurate doubling algorithms for M-matrix algebraic Riccati equations. Numerische Mathematik 135(3): 733-767 (2017) - [j42]Lei-Hong Zhang, Chungen Shen, Ren-Cang Li:
On the Generalized Lanczos Trust-Region Method. SIAM J. Optim. 27(3): 2110-2142 (2017) - 2016
- [j41]Zhongming Teng, Yunkai Zhou, Ren-Cang Li:
A block Chebyshev-Davidson method for linear response eigenvalue problems. Adv. Comput. Math. 42(5): 1103-1128 (2016) - [j40]Jinrui Guan, Linzhang Lu, Ren-Cang Li, Rongxia Shao:
Self-Corrective Iterations (SCI) for generalized diagonally dominant matrices. J. Comput. Appl. Math. 302: 285-300 (2016) - [j39]Tsung-Ming Huang, Wei-Qiang Huang, Ren-Cang Li, Wen-Wei Lin:
A new two-phase structure-preserving doubling algorithm for critically singular M-matrix algebraic Riccati equations. Numer. Linear Algebra Appl. 23(2): 291-313 (2016) - [j38]Linzhang Lu, Teng Wang, Yueh-Cheng Kuo, Ren-Cang Li, Wen-Wei Lin:
A Fast Algorithm For Fast Train Palindromic Quadratic Eigenvalue Problems. SIAM J. Sci. Comput. 38(6) (2016) - [j37]C. Kristopher Garrett, Zhaojun Bai, Ren-Cang Li:
A Nonlinear QR Algorithm for Banded Nonlinear Eigenvalue Problems. ACM Trans. Math. Softw. 43(1): 4:1-4:19 (2016) - 2015
- [j36]Linzhang Lu, Fei Yuan, Ren-Cang Li:
A new look at the doubling algorithm for a structured palindromic quadratic eigenvalue problem. Numer. Linear Algebra Appl. 22(3): 393-409 (2015) - [j35]Ren-Cang Li, Lei-Hong Zhang:
Convergence of the block Lanczos method for eigenvalue clusters. Numerische Mathematik 131(1): 83-113 (2015) - [j34]Lei-Hong Zhang, Wei Hong Yang, Chungen Shen, Ren-Cang Li:
A Krylov Subspace Method for Large-Scale Second-Order Cone Linear Complementarity Problem. SIAM J. Sci. Comput. 37(4) (2015) - [c4]Hongteng Xu, Hongyuan Zha, Ren-Cang Li, Mark A. Davenport:
Active Manifold Learning via Gershgorin Circle Guided Sample Selection. AAAI 2015: 3108-3114 - 2014
- [j33]C. Kristopher Garrett, Ren-Cang Li:
GIP integrators for Matrix Riccati Differential Equations. Appl. Math. Comput. 241: 283-297 (2014) - [j32]Lei-Hong Zhang, Jungong Xue, Ren-Cang Li:
Rayleigh-Ritz Approximation For the Linear Response Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 35(2): 765-782 (2014) - 2013
- [j31]Zhongming Teng, Ren-Cang Li:
Convergence analysis of Lanczos-type methods for the linear response eigenvalue problem. J. Comput. Appl. Math. 247: 17-33 (2013) - [j30]Ren-Cang Li, Yuji Nakatsukasa, Ninoslav Truhar, Shufang Xu:
Erratum: Perturbation of Partitioned Hermitian Definite Generalized Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 34(1): 280-281 (2013) - [j29]Zhaojun Bai, Ren-Cang Li:
Minimization Principles for the Linear Response Eigenvalue Problem II: Computation. SIAM J. Matrix Anal. Appl. 34(2): 392-416 (2013) - 2012
- [j28]Ren-Cang Li, William Kahan:
A family of Anadromic numerical methods for matrix Riccati differential equations. Math. Comput. 81(277): 233-265 (2012) - [j27]Jungong Xue, Shufang Xu, Ren-Cang Li:
Accurate solutions of M-matrix Sylvester equations. Numerische Mathematik 120(4): 639-670 (2012) - [j26]Jungong Xue, Shufang Xu, Ren-Cang Li:
Accurate solutions of M-matrix algebraic Riccati equations. Numerische Mathematik 120(4): 671-700 (2012) - [j25]Wei-guo Wang, Wei-chao Wang, Ren-Cang Li:
Alternating-directional Doubling Algorithm for M-Matrix Algebraic Riccati Equations. SIAM J. Matrix Anal. Appl. 33(1): 170-194 (2012) - [j24]Zhaojun Bai, Ren-Cang Li:
Minimization Principles for the Linear Response Eigenvalue Problem I: Theory. SIAM J. Matrix Anal. Appl. 33(4): 1075-1100 (2012) - 2011
- [j23]Ren-Cang Li, Yuji Nakatsukasa, Ninoslav Truhar, Shufang Xu:
Perturbation of Partitioned Hermitian Definite Generalized Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 32(2): 642-663 (2011) - 2010
- [j22]Ren-Cang Li:
Sharpness in rates of convergence for the symmetric Lanczos method. Math. Comput. 79(269): 419-435 (2010) - [j21]Ren-Cang Li, Wen-Wei Lin, Chern-Shuh Wang:
Structured backward error for palindromic polynomial eigenvalue problems. Numerische Mathematik 116(1): 95-122 (2010) - [j20]Ninoslav Truhar, Zoran Tomljanovic, Ren-Cang Li:
Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts. Syst. Control. Lett. 59(3-4): 248-257 (2010)
2000 – 2009
- 2009
- [j19]Peter Benner, Ren-Cang Li, Ninoslav Truhar:
On the ADI method for Sylvester equations. J. Comput. Appl. Math. 233(4): 1035-1045 (2009) - [j18]Ren-Cang Li, Wei Zhang:
The rate of convergence of GMRES on a tridiagonal Toeplitz linear system. Numerische Mathematik 112(2): 267-293 (2009) - [j17]Sylvie Boldo, Marc Daumas, Ren-Cang Li:
Formally Verified Argument Reduction with a Fused Multiply-Add. IEEE Trans. Computers 58(8): 1139-1145 (2009) - 2008
- [j16]Ren-Cang Li:
On Meinardus' examples for the conjugate gradient method. Math. Comput. 77(261): 335-352 (2008) - 2007
- [j15]Nicholas J. Higham, Ren-Cang Li, Françoise Tisseur:
Backward Error of Polynomial Eigenproblems Solved by Linearization. SIAM J. Matrix Anal. Appl. 29(4): 1218-1241 (2007) - [i1]Sylvie Boldo, Marc Daumas, Ren-Cang Li:
Formally Verified Argument Reduction with a Fused-Multiply-Add. CoRR abs/0708.3722 (2007) - 2006
- [j14]Ren-Cang Li:
Lower bounds for the condition number of a real confluent Vandermonde matrix. Math. Comput. 75(256): 1987-1995 (2006) - [j13]Ren-Cang Li:
Asymptotically Optimal Lower Bounds for the Condition Number of a Real Vandermonde Matrix. SIAM J. Matrix Anal. Appl. 28(3): 829-844 (2006) - 2005
- [j12]Ren-Cang Li:
Relative Perturbation Bounds for Positive Polar Factors of Graded Matrices. SIAM J. Matrix Anal. Appl. 27(2): 424-433 (2005) - 2004
- [j11]Ren-Cang Li:
Near Optimality of Chebyshev Interpolation for Elementary Function Computations. IEEE Trans. Computers 53(6): 678-687 (2004) - [j10]Ernie Croot, Ren-Cang Li, Hui June Zhu:
The abc conjecture and correctly rounded reciprocal square roots. Theor. Comput. Sci. 315(2-3): 405-417 (2004) - [c3]Zhaojun Bai, Ren-Cang Li:
Substructuring, Dimension Reduction and Applications: An Introduction. PARA 2004: 266-266 - [c2]Ren-Cang Li, Zhaojun Bai:
Structure-Preserving Model Reduction. PARA 2004: 323-332 - 2003
- [j9]Ren-Cang Li:
On perturbations of matrix pencils with real spectra, a revisit. Math. Comput. 72(242): 715-728 (2003) - [j8]Ren-Cang Li, Qiang Ye:
A Krylov Subspace Method for Quadratic Matrix Polynomials with Application to Constrained Least Squares Problems. SIAM J. Matrix Anal. Appl. 25(2): 405-428 (2003) - [c1]Ren-Cang Li, Sylvie Boldo, Marc Daumas:
Theorems on Efficient Argument Reductions. IEEE Symposium on Computer Arithmetic 2003: 129-136 - 2000
- [j7]Ren-Cang Li:
A Bound on the Solution to a Structured Sylvester Equation with an Application to Relative Perturbation Theory. SIAM J. Matrix Anal. Appl. 21(2): 440-445 (2000)
1990 – 1999
- 1998
- [j6]Ren-Cang Li:
Relative Perturbation Theory: I. Eigenvalue and Singular Value Variations. SIAM J. Matrix Anal. Appl. 19(4): 956-982 (1998) - [j5]Ren-Cang Li:
Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations. SIAM J. Matrix Anal. Appl. 20(2): 471-492 (1998) - 1997
- [j4]William Kahan, Ren-Cang Li:
Composition constants for raising the orders of unconventional schemes for ordinary differential equations. Math. Comput. 66(219): 1089-1099 (1997) - 1996
- [j3]Rajendra Bhatia, Ren-Cang Li:
On perturbations of matrix pencils with real spectra. II. Math. Comput. 65(214): 637-645 (1996) - 1995
- [j2]Ren-Cang Li:
New Perturbation Bounds for the Unitary Polar Factor. SIAM J. Matrix Anal. Appl. 16(1): 327-332 (1995) - 1993
- [j1]Ren-Cang Li:
Bounds on Perturbations of Generalized Singular Values and of Associated Subspaces. SIAM J. Matrix Anal. Appl. 14(1): 195-234 (1993)
Coauthor Index
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