Mathematics

[26] A Self-Consistent-Field Iteration for Orthogonal Canonical Correlation Analysis

Lei-Hong Zhang Soochow University Li Wang University of Texas at Arlington Zhaojun Bai University of California, Davis Ren-Cang Li University of Texas at Arlington

Machine Learning mathscidoc:2105.41008

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2021
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[27] A Fast Algorithm For Fast Train Palindromic Quadratic Eigenvalue Problems

Linzhang Lu Guizhou Normal University Teng Wang Nanchang University Yueh-Cheng Kuo National University of Kaohsiung Ren-Cang Li University of Texas at Arlington Wen-Wei Lin National Chiao Tung University

Numerical Analysis and Scientific Computing mathscidoc:2105.25003

SIAM Journal on Scientific Computing, 38, (6), A3410-A3429, 2016.11
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[28] A Block Chebyshev-Davidson Method for Linear Response Eigenvalue Problems

Zhongming Teng Fujian Agriculture and Forestry University Yunkai Zhou Southern Methodist University Ren-Cang Li University of Texas at Arlington

Numerical Analysis and Scientific Computing mathscidoc:2105.25002

Advances in Computational Mathematics, 42, (5), 1103-1128, 2016.12
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[29] Accurate Numerical Solution for Structured M-Matrix Algebraic Riccati Equations

Changli Liu Sichuan University Wei-guo Wang Ocean University of China Jungong Xue Fudan University Ren-Cang Li University of Texas at Arlington

Numerical Linear Algebra mathscidoc:2105.26004

Journal of Computational and Applied Mathematics, 396, 113614, 2021.4
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[30] Accurate Numerical Solution For Shifted M-Matrix Algebraic Riccati Equations

Changli Liu Sichuan University Jungong Xue Fudan University Ren-Cang Li University of Texas at Arlington

Numerical Linear Algebra mathscidoc:2105.26003

Journal of Scientific Computing, 84, 15, 2020.3
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[31] Probabilistic Structure Learning for EEG/MEG Source Imaging with Hierarchical Graph Prior

Feng Liu fliu22@stevens.edu Li Wang University of Texas at Arlington Yifei Lou University of Texas at Dallas Ren-Cang Li University of Texas at Arlington Patrick L. Purdon Harvard Medical School

Machine Learning mathscidoc:2105.41007

IEEE Transactions on Medical Imaging, 40, (1), 321-334, 2021.4
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[32] Orthogonal Canonical Correlation Analysis and Applications

Li Wang University of Texas at Arlington Lei-Hong Zhang Soochow University Zhaojun Bai University of California, Davis Ren-Cang Li University of Texas at Arlington

Machine Learning mathscidoc:2105.41006

Optimization Methods and Software, 35, (4), 1098-1112, 2020.6
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[33] First-order Perturbation Theory for Eigenvalues and Eigenvectors

Anne Greenbaum University of Washington Ren-Cang Li University of Texas at Arlington Michael Overton New York University

Numerical Linear Algebra mathscidoc:2105.26002

SIAM Review, 62, (2), 463-482, 2020.6
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[34] Learning Low-dimensional Latent Graph Structures: A Density Estimation Approach

Li Wang University of Texas at Arlington Ren-Cang Li University of Texas at Arlington

Machine Learning mathscidoc:2105.41005

IEEE Transactions on Neural Networks and Learning Systems, 31, (4), 1098-1112, 2020.3
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[35] Highly Accurate Doubling Algorithm for Quadratic Matrix Equation from Quasi-Birth-and-Death Process

Cairong Chen Beihang University Ren-Cang Li University of Texas at Arlington Changfeng Ma Fujian Normal University

Numerical Linear Algebra mathscidoc:2105.26001

Linear Algebra and its Applications, 583, 1-45, 2019.4
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[36] An Efficient Numerical Method for the Symmetric Positive Definite Second-Order Cone Linear Complementarity Problem

Xiang Wang Nanchang University Xing Li Shanghai University of Finance and Economics Lei-Hong Zhang Soochow University Ren-Cang Li University of Texas at Arlington

Numerical Analysis and Scientific Computing mathscidoc:2105.25001

Journal of Scientific Computing, 79, 1608-1629, 2019.3
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[37] The Kelmans-Seymour conjecture I: Special separations

Dawei He School of Mathematics, Georgia Institute of Technology, Atlanta Yan Wang School of Mathematics, Georgia Institute of Technology, Atlanta Xingxing Yu School of Mathematics, Georgia Institute of Technology, Atlanta

Combinatorics mathscidoc:2105.41004

2019.4
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[38] The Kelmans-Seymour conjecture III: 3-vertices in K− 4

Dawei He School of Mathematics, Georgia Institute of Technology, Atlanta Yan Wang School of Mathematics, Georgia Institute of Technology, Atlanta Xingxing Yu School of Mathematics, Georgia Institute of Technology, Atlanta

Combinatorics mathscidoc:2105.41003

2019.6
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[39] The Kelmans-Seymour conjecture IV: A proof

Dawei He School of Mathematics, Georgia Institute of Technology, Atlanta Yan Wang School of Mathematics, Georgia Institute of Technology, Atlanta Xingxing Yu School of Mathematics, Georgia Institute of Technology, Atlanta

Combinatorics mathscidoc:2105.41002

2019.5
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[40] The Kelmans-Seymour conjecture II: 2-Vertices in K− 4

Dawei He School of Mathematics, Georgia Institute of Technology, Atlanta Yan Wang School of Mathematics, Georgia Institute of Technology, Atlanta Xingxing Yu School of Mathematics, Georgia Institute of Technology, Atlanta

Combinatorics mathscidoc:2105.41001

2019.8
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[41] Oscillatory Biomedical Signals: Frontiers in Mathematical Models and Statistical Analysis

Hau-Tieng Wu Department of Mathematics, Duke University, Durham Tze Leung Lai Department of Statistics, Stanford University, Stanford Gabriel G. Haddad 3Department of Pediatrics and Rady Children’s Hospital, University of California Alysson Muotri Department of Cellular & Molecular Medicine and Department of Pediatrics

Data Analysis, Bio-Statistics, Bio-Mathematics mathscidoc:2105.45001

2021.1
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[42] A Convergent Conformal Energy Minimization for the Computation of Disk Parameterizations

Yueh-Cheng Kuo National University of Kaohsiung Wen-Wei Lin National Yang Ming Chiao Tung University Mei-Heng Yueh National Taiwan Normal University Shing-Tung Yau Harvard University

Computational Geometry mathscidoc:2104.09001

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[43] Determination of effective synaptic conductances using somatic voltage clamp

Songting Li Shanghai JIao Tong University Nan Liu Beijing Normal University Li Yao Beijing Normal University Xiaohui Zhang Beijing Normal University Dongzhuo Zhou Shanghai JIao Tong University David Cai New York University

Data Analysis, Bio-Statistics, Bio-Mathematics mathscidoc:2104.42005

PLoS Computational Biology, 15, (1006871), 2019.3
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[44] Transitions and anti-integrable limits for multi-hole Sturmian systems and Denjoy counterexamples

Yi-Chiuan Chen Academia Sinica

Dynamical Systems mathscidoc:2104.11003

2019.2
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[45] The Mathematics of Shock Reflection-Diffraction and von Neumann's conjectures

Gui-Qiang G. Chen University of Oxford Miklhail Feldman University of Wiscosin-Madison

Analysis of PDEs mathscidoc:2104.14001

830, 2018
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[46] A Continuous Family of Equilibria in Ferromagnetic Media are Ground States

Xifeng Su Beijing Normal University Rafael de la Llave Georgia Institute of Technology

Dynamical Systems Mathematical Physics mathscidoc:2104.11002

Communications in Mathematical Physics, 354, (2), 459–475, 2017.5
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[47] Wigner rotation and its SO(3) model: an active-frame approach

Leehwa Yeh Shing-Tung Yau Center, NYCU

Mathematical Physics mathscidoc:2104.22001

2021.4
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[48] Entropy symmetrization and high-order accurate entropy stable numerical schemes for relativistic MHD equations

Kailiang Wu SUSTech Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:2104.25005

SIAM Journal on Scientific Computing, 42, (4), A2230–A2261, 2020.7
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[49] Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics

Kailiang Wu Ohio State University

Numerical Analysis and Scientific Computing mathscidoc:2104.25004

SIAM Journal on Numerical Analysis, 56, (4), 2124-2147, 2018.7
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[50] Almost sure multifractal spectrum of Schramm–Loewner evolution

Ewain Gwynne University of Chicago Jason Miller University of Cambridge Xin Sun University of Pennsylvania

Probability mathscidoc:2104.28002

Duke Math. J., 167, (6), 2018.4
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