Ren-Cang Li

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 44

Top Topics

Perturbation Theory

Partial Least Squares

Eigenvalue Problems

Sparse Sampling

Top Venues

SIAM J. Matrix Anal. Appl.

Numerische Mathematik

J. Comput. Appl. Math.

Publications

Ding Lu, Ren-Cang Li
Locally unitarily invariantizable NEPv and convergence analysis of SCF. Math. Comput. 93 (349) (2024)
Ren-Cang Li, Ninoslav Truhar, Lei-Hong Zhang
On Stewart's Perturbation Theorem for SVD. CoRR (2024)
Cairong Chen, Xuehua Li, Ren-Cang Li
Existence and nonexistence of solutions for underdetermined generalized absolute value equations. CoRR (2024)
Lei-Hong Zhang, Ren-Cang Li
Quality of Approximate Balanced Truncation. CoRR (2024)
Li Wang, Lei-Hong Zhang, Ren-Cang Li
Trace ratio optimization with an application to multi-view learning. Math. Program. 201 (1) (2023)
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) (2023)
Zhongming Teng, Ren-Cang Li
Variations of Orthonormal Basis Matrices of Subspaces. CoRR (2023)
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 (2023)
Xin Liang, Ren-Cang Li
On Generalizing Trace Minimization Principles, II. CoRR (2023)
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) (2022)
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) (2022)
Li Wang, Lei-Hong Zhang, Ren-Cang Li
Maximizing sum of coupled traces with applications. Numerische Mathematik 152 (3) (2022)
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) (2022)
Li Wang, Lei-Hong Zhang, Chungen Shen, Ren-Cang Li
Orthogonal multi-view analysis by successive approximations via eigenvectors. Neurocomputing 512 (2022)
Li Wang, Ren-Cang Li
A Scalable Algorithm for Large-Scale Unsupervised Multi-View Partial Least Squares. IEEE Trans. Big Data 8 (4) (2022)
Ding Lu, Ren-Cang Li
Convergence of SCF for Locally Unitarily Invariantizable NEPv. CoRR (2022)
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) (2021)
Li Wang, Lei-Hong Zhang, Ren-Cang Li
Trace Ratio Optimization with an Application to Multi-view Learning. CoRR (2021)
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 (2021)
Xin Liang, Li Wang, Lei-Hong Zhang, Ren-Cang Li
On Generalizing Trace Minimization. CoRR (2021)
Ninoslav Truhar, Ren-Cang Li
On an eigenvector-dependent nonlinear eigenvalue problem from the perspective of relative perturbation theory. J. Comput. Appl. Math. 395 (2021)
Li Wang, Lei-Hong Zhang, Chungen Shen, Ren-Cang Li
Uncorrelated Semi-paired Subspace Learning. CoRR (2020)
Li Wang, Lei-Hong Zhang, Chungen Shen, Ren-Cang Li
Orthogonal Multi-view Analysis by Successive Approximations via Eigenvectors. CoRR (2020)
Zhaojun Bai, Ren-Cang Li, Ding Lu
Optimal Convergence Rate of Self-Consistent Field Iteration for Solving Eigenvector-dependent Nonlinear Eigenvalue Problems. CoRR (2020)
Li Wang, Ren-Cang Li
Learning Low-Dimensional Latent Graph Structures: A Density Estimation Approach. IEEE Trans. Neural Networks Learn. Syst. 31 (4) (2020)
Li Wang, Ren-Cang Li, Wen-Wei Lin
Multi-view Orthonormalized Partial Least Squares: Regularizations and Deep Extensions. CoRR (2020)
Anne Greenbaum, Ren-Cang Li, Michael L. Overton
First-Order Perturbation Theory for Eigenvalues and Eigenvectors. SIAM Rev. 62 (2) (2020)
Changli Liu, Jungong Xue, Ren-Cang Li
Accurate Numerical Solution for Shifted M-Matrix Algebraic Riccati Equations. J. Sci. Comput. 84 (1) (2020)
Ninoslav Truhar, Zoran Tomljanovic, Ren-Cang Li
Perturbation theory for Hermitian quadratic eigenvalue problem - damped and simultaneously diagonalizable systems. Appl. Math. Comput. 371 (2020)
Li Wang, Lei-Hong Zhang, Zhaojun Bai, Ren-Cang Li
Orthogonal canonical correlation analysis and applications. Optim. Methods Softw. 35 (4) (2020)
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) (2019)
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 (2019)
Yunshen Zhou, Zhaojun Bai, Ren-Cang Li
Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms. CoRR (2019)
Anne Greenbaum, Ren-Cang Li, Michael L. Overton
First-order Perturbation Theory for Eigenvalues and Eigenvectors. CoRR (2019)
Lei-Hong Zhang, Li Wang, Zhaojun Bai, Ren-Cang Li
A Self-consistent-field Iteration for Orthogonal Canonical Correlation Analysis. CoRR (2019)
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)
Yunfeng Cai, Lei-Hong Zhang, Zhaojun Bai, Ren-Cang Li
On an Eigenvector-Dependent Nonlinear Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 39 (3) (2018)
Lei-Hong Zhang, Chungen Shen, Ren-Cang Li
On the Generalized Lanczos Trust-Region Method. SIAM J. Optim. 27 (3) (2017)
Jungong Xue, Ren-Cang Li
-matrix algebraic Riccati equations. Numerische Mathematik 135 (3) (2017)
Zhongming Teng, Yunkai Zhou, Ren-Cang Li
A block Chebyshev-Davidson method for linear response eigenvalue problems. Adv. Comput. Math. 42 (5) (2016)
C. Kristopher Garrett, Zhaojun Bai, Ren-Cang Li
A Nonlinear QR Algorithm for Banded Nonlinear Eigenvalue Problems. ACM Trans. Math. Softw. 43 (1) (2016)
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)
Jinrui Guan, Linzhang Lu, Ren-Cang Li, Rongxia Shao
Self-Corrective Iterations (SCI) for generalized diagonally dominant matrices. J. Comput. Appl. Math. 302 (2016)
Tsung-Ming Huang, Wei-Qiang Huang, Ren-Cang Li, Wen-Wei Lin
-matrix algebraic Riccati equations. Numer. Linear Algebra Appl. 23 (2) (2016)
Hongteng Xu, Hongyuan Zha, Ren-Cang Li, Mark A. Davenport
Active Manifold Learning via Gershgorin Circle Guided Sample Selection. AAAI (2015)
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) (2015)
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)
Ren-Cang Li, Lei-Hong Zhang
Convergence of the block Lanczos method for eigenvalue clusters. Numerische Mathematik 131 (1) (2015)
Lei-Hong Zhang, Jungong Xue, Ren-Cang Li
Rayleigh-Ritz Approximation For the Linear Response Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 35 (2) (2014)
C. Kristopher Garrett, Ren-Cang Li
GIP integrators for Matrix Riccati Differential Equations. Appl. Math. Comput. 241 (2014)
Zhongming Teng, Ren-Cang Li
Convergence analysis of Lanczos-type methods for the linear response eigenvalue problem. J. Comput. Appl. Math. 247 (2013)
Zhaojun Bai, Ren-Cang Li
Minimization Principles for the Linear Response Eigenvalue Problem II: Computation. SIAM J. Matrix Anal. Appl. 34 (2) (2013)
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) (2013)
Ren-Cang Li, William Kahan
A family of Anadromic numerical methods for matrix Riccati differential equations. Math. Comput. 81 (277) (2012)
Jungong Xue, Shufang Xu, Ren-Cang Li
-matrix algebraic Riccati equations. Numerische Mathematik 120 (4) (2012)
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) (2012)
Zhaojun Bai, Ren-Cang Li
Minimization Principles for the Linear Response Eigenvalue Problem I: Theory. SIAM J. Matrix Anal. Appl. 33 (4) (2012)
Jungong Xue, Shufang Xu, Ren-Cang Li
-matrix Sylvester equations. Numerische Mathematik 120 (4) (2012)
Ren-Cang Li, Yuji Nakatsukasa, Ninoslav Truhar, Shufang Xu
Perturbation of Partitioned Hermitian Definite Generalized Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 32 (2) (2011)
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) (2010)
Ren-Cang Li
Sharpness in rates of convergence for the symmetric Lanczos method. Math. Comput. 79 (269) (2010)
Ren-Cang Li, Wen-Wei Lin, Chern-Shuh Wang
Structured backward error for palindromic polynomial eigenvalue problems. Numerische Mathematik 116 (1) (2010)
Ren-Cang Li, Wei Zhang
The rate of convergence of GMRES on a tridiagonal Toeplitz linear system. Numerische Mathematik 112 (2) (2009)
Sylvie Boldo, Marc Daumas, Ren-Cang Li
Formally Verified Argument Reduction with a Fused Multiply-Add. IEEE Trans. Computers 58 (8) (2009)
Peter Benner, Ren-Cang Li, Ninoslav Truhar
On the ADI method for Sylvester equations. J. Comput. Appl. Math. 233 (4) (2009)
Ren-Cang Li
On Meinardus' examples for the conjugate gradient method. Math. Comput. 77 (261) (2008)
Nicholas J. Higham, Ren-Cang Li, Françoise Tisseur
Backward Error of Polynomial Eigenproblems Solved by Linearization. SIAM J. Matrix Anal. Appl. 29 (4) (2007)
Sylvie Boldo, Marc Daumas, Ren-Cang Li
Formally Verified Argument Reduction with a Fused-Multiply-Add CoRR (2007)
Ren-Cang Li
Lower bounds for the condition number of a real confluent Vandermonde matrix. Math. Comput. 75 (256) (2006)
Ren-Cang Li
Asymptotically Optimal Lower Bounds for the Condition Number of a Real Vandermonde Matrix. SIAM J. Matrix Anal. Appl. 28 (3) (2006)
Ren-Cang Li
Relative Perturbation Bounds for Positive Polar Factors of Graded Matrices. SIAM J. Matrix Anal. Appl. 27 (2) (2005)
Ren-Cang Li, Zhaojun Bai
Structure-Preserving Model Reduction. PARA (2004)
Zhaojun Bai, Ren-Cang Li
Substructuring, Dimension Reduction and Applications: An Introduction. PARA (2004)
Ernie Croot, Ren-Cang Li, Hui June Zhu
The abc conjecture and correctly rounded reciprocal square roots. Theor. Comput. Sci. 315 (2-3) (2004)
Ren-Cang Li
Near Optimality of Chebyshev Interpolation for Elementary Function Computations. IEEE Trans. Computers 53 (6) (2004)
Ren-Cang Li
On perturbations of matrix pencils with real spectra, a revisit. Math. Comput. 72 (242) (2003)
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) (2003)
Ren-Cang Li, Sylvie Boldo, Marc Daumas
Theorems on Efficient Argument Reductions. IEEE Symposium on Computer Arithmetic (2003)
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) (2000)
Ren-Cang Li
Relative Perturbation Theory: I. Eigenvalue and Singular Value Variations. SIAM J. Matrix Anal. Appl. 19 (4) (1998)
Ren-Cang Li
Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations. SIAM J. Matrix Anal. Appl. 20 (2) (1998)
William Kahan, Ren-Cang Li
Composition constants for raising the orders of unconventional schemes for ordinary differential equations. Math. Comput. 66 (219) (1997)
Rajendra Bhatia, Ren-Cang Li
On perturbations of matrix pencils with real spectra. II. Math. Comput. 65 (214) (1996)
Ren-Cang Li
New Perturbation Bounds for the Unitary Polar Factor. SIAM J. Matrix Anal. Appl. 16 (1) (1995)
Ren-Cang Li
Bounds on Perturbations of Generalized Singular Values and of Associated Subspaces. SIAM J. Matrix Anal. Appl. 14 (1) (1993)