# zbMATH — the first resource for mathematics

## Lim, Lek-Heng

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 Author ID: lim.lek-heng Published as: Lim, L. H.; Lim, Lek-Heng External Links: MGP · Wikidata
 Documents Indexed: 34 Publications since 2001
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#### Co-Authors

 2 single-authored 8 Ye, Ke 6 Comon, Pierre 4 Friedland, Shmuel 4 Qi, Yang 2 Gleich, David F. 2 Zhang, Jinjie 1 Ahmad, Rokiah Rozita 1 Benson, Austin R. 1 de Silva, Vin 1 Drton, Mathias 1 Golub, Gene Howard 1 Gu, Ming 1 Hillar, Christopher J. 1 Jiang, Xiaoye 1 Michałek, Mateusz 1 Mourrain, Bernard 1 Naitzat, Gregory 1 Ng, Michael Kwok-Po 1 Packer, Judith A. 1 Qi, Liqun 1 Rambely, Azmin Sham 1 Savas, Berkant 1 Sepulchre, Rodolphe J. 1 Shao, Jiayu 1 Sze-Wai Wong, Ken 1 Sze, Nung-Sing 1 Taylor, Keith F. 1 Weare, Jonathan Quincy 1 Wu, Cinna Julie 1 Wu, Wei Biao 1 Yao, Yuan 1 Ye, Yinyu 1 Yu, Yongyang 1 Zhitnikov, Andrey
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#### Serials

 6 SIAM Journal on Matrix Analysis and Applications 3 IEEE Transactions on Information Theory 3 SIAM Review 2 Foundations of Computational Mathematics 1 Linear and Multilinear Algebra 1 Mathematics of Computation 1 Advances in Mathematics 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Journal of Global Optimization 1 Numerical Algorithms 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 SIAM Journal on Scientific Computing 1 Applied and Computational Harmonic Analysis 1 Numerical Linear Algebra with Applications 1 Journal of the ACM 1 Journal of Machine Learning Research (JMLR) 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 SIAM Journal on Applied Algebra and Geometry
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#### Fields

 18 Linear and multilinear algebra; matrix theory (15-XX) 14 Numerical analysis (65-XX) 7 Operations research, mathematical programming (90-XX) 6 Computer science (68-XX) 5 Algebraic geometry (14-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

25 Publications have been cited 650 times in 496 Documents Cited by Year
Tensor rank and the ill-posedness of the best low-rank approximation problem. Zbl 1167.14038
de Silva, Vin; Lim, Lek-Heng
2008
Most tensor problems are NP-hard. Zbl 1281.68126
Hillar, Christopher J.; Lim, Lek-Heng
2013
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
2008
Quasi-Newton methods on Grassmannians and multilinear approximations of tensors. Zbl 1226.65058
Savas, Berkant; Lim, Lek-Heng
2010
Statistical ranking and combinatorial Hodge theory. Zbl 1210.90142
Jiang, Xiaoye; Lim, Lek-Heng; Yao, Yuan; Ye, Yinyu
2011
Nuclear norm of higher-order tensors. Zbl 1383.15018
Friedland, Shmuel; Lim, Lek-Heng
2018
Multiarray signal processing: tensor decomposition meets compressed sensing. Zbl 1220.94018
Lim, Lek-Heng; Comon, Pierre
2010
Multilinear PageRank. Zbl 1330.15029
Gleich, David F.; Lim, Lek-Heng; Yu, Yongyang
2015
Blind multilinear identification. Zbl 1364.94139
Lim, Lek-Heng; Comon, Pierre
2014
Semialgebraic geometry of nonnegative tensor rank. Zbl 1349.14183
Qi, Yang; Comon, Pierre; Lim, Lek-Heng
2016
A direct integral decomposition of the wavelet representation. Zbl 0976.65125
Lim, Lek-Heng; Packer, Judith A.; Taylor, Keith F.
2001
Every matrix is a product of Toeplitz matrices. Zbl 1342.15024
Ye, Ke; Lim, Lek-Heng
2016
ParNes: A rapidly convergent algorithm for accurate recovery of sparse and approximately sparse signals. Zbl 1284.65055
Gu, Ming; Lim, Lek-Heng; Wu, Cinna Julie
2013
The spacey random walk: a stochastic process for higher-order data. Zbl 1365.15033
Benson, Austin R.; Gleich, David F.; Lim, Lek-Heng
2017
The computational complexity of duality. Zbl 1353.65144
Friedland, Shmuel; Lim, Lek-Heng
2016
Schubert varieties and distances between subspaces of different dimensions. Zbl 1365.14065
Ye, Ke; Lim, Lek-Heng
2016
Uniqueness of nonnegative tensor approximations. Zbl 1359.94155
Qi, Yang; Comon, Pierre; Lim, Lek-Heng
2016
Fast structured matrix computations: tensor rank and Cohn-Umans method. Zbl 06849388
Ye, Ke; Lim, Lek-Heng
2018
Fast randomized iteration: diffusion Monte Carlo through the Lens of numerical linear algebra. Zbl 1371.65005
Lim, Lek-Heng; Weare, Jonathan
2017
Editorial. The spectral theory of tensors and its applications. Zbl 1313.15001
Lim, Lek-Heng; Ng, Michael K.; Qi, Liquin
2013
Cohomology of cryo-electron microscopy. Zbl 1377.92054
Ye, Ke; Lim, Lek-Heng
2017
Hodge Laplacians on graphs. Zbl 1453.05061
Lim, Lek-Heng
2020
Topology of tensor ranks. Zbl 1439.15001
Comon, Pierre; Lim, Lek-Heng; Qi, Yang; Ye, Ke
2020
Grothendieck constant is norm of Strassen matrix multiplication tensor. Zbl 1426.15033
Friedland, Shmuel; Lim, Lek-Heng; Zhang, Jinjie
2019
An elementary and unified proof of Grothendieck’s inequality. Zbl 07117762
Friedland, Shmuel; Lim, Lek-Heng; Zhang, Jinjie
2018
Hodge Laplacians on graphs. Zbl 1453.05061
Lim, Lek-Heng
2020
Topology of tensor ranks. Zbl 1439.15001
Comon, Pierre; Lim, Lek-Heng; Qi, Yang; Ye, Ke
2020
Grothendieck constant is norm of Strassen matrix multiplication tensor. Zbl 1426.15033
Friedland, Shmuel; Lim, Lek-Heng; Zhang, Jinjie
2019
Nuclear norm of higher-order tensors. Zbl 1383.15018
Friedland, Shmuel; Lim, Lek-Heng
2018
Fast structured matrix computations: tensor rank and Cohn-Umans method. Zbl 06849388
Ye, Ke; Lim, Lek-Heng
2018
An elementary and unified proof of Grothendieck’s inequality. Zbl 07117762
Friedland, Shmuel; Lim, Lek-Heng; Zhang, Jinjie
2018
The spacey random walk: a stochastic process for higher-order data. Zbl 1365.15033
Benson, Austin R.; Gleich, David F.; Lim, Lek-Heng
2017
Fast randomized iteration: diffusion Monte Carlo through the Lens of numerical linear algebra. Zbl 1371.65005
Lim, Lek-Heng; Weare, Jonathan
2017
Cohomology of cryo-electron microscopy. Zbl 1377.92054
Ye, Ke; Lim, Lek-Heng
2017
Semialgebraic geometry of nonnegative tensor rank. Zbl 1349.14183
Qi, Yang; Comon, Pierre; Lim, Lek-Heng
2016
Every matrix is a product of Toeplitz matrices. Zbl 1342.15024
Ye, Ke; Lim, Lek-Heng
2016
The computational complexity of duality. Zbl 1353.65144
Friedland, Shmuel; Lim, Lek-Heng
2016
Schubert varieties and distances between subspaces of different dimensions. Zbl 1365.14065
Ye, Ke; Lim, Lek-Heng
2016
Uniqueness of nonnegative tensor approximations. Zbl 1359.94155
Qi, Yang; Comon, Pierre; Lim, Lek-Heng
2016
Multilinear PageRank. Zbl 1330.15029
Gleich, David F.; Lim, Lek-Heng; Yu, Yongyang
2015
Blind multilinear identification. Zbl 1364.94139
Lim, Lek-Heng; Comon, Pierre
2014
Most tensor problems are NP-hard. Zbl 1281.68126
Hillar, Christopher J.; Lim, Lek-Heng
2013
ParNes: A rapidly convergent algorithm for accurate recovery of sparse and approximately sparse signals. Zbl 1284.65055
Gu, Ming; Lim, Lek-Heng; Wu, Cinna Julie
2013
Editorial. The spectral theory of tensors and its applications. Zbl 1313.15001
Lim, Lek-Heng; Ng, Michael K.; Qi, Liquin
2013
Statistical ranking and combinatorial Hodge theory. Zbl 1210.90142
Jiang, Xiaoye; Lim, Lek-Heng; Yao, Yuan; Ye, Yinyu
2011
Quasi-Newton methods on Grassmannians and multilinear approximations of tensors. Zbl 1226.65058
Savas, Berkant; Lim, Lek-Heng
2010
Multiarray signal processing: tensor decomposition meets compressed sensing. Zbl 1220.94018
Lim, Lek-Heng; Comon, Pierre
2010
Tensor rank and the ill-posedness of the best low-rank approximation problem. Zbl 1167.14038
de Silva, Vin; Lim, Lek-Heng
2008
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
2008
A direct integral decomposition of the wavelet representation. Zbl 0976.65125
Lim, Lek-Heng; Packer, Judith A.; Taylor, Keith F.
2001
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#### Cited by 769 Authors

 22 Ballico, Edoardo 14 Lim, Lek-Heng 13 Qi, Liqun 11 Comon, Pierre 10 Wei, Yimin 9 Bernardi, Alessandra 8 Friedland, Shmuel 8 Hackbusch, Wolfgang 8 Nie, Jiawang 8 Uschmajew, André 7 Ottaviani, Giorgio Maria 7 Schneider, Reinhold 7 Vannieuwenhoven, Nick 6 Che, Maolin 6 Chiantini, Luca 6 Derksen, Harm 6 Dutkay, Dorin Ervin 6 Stegeman, Alwin 6 Tyrtyshnikov, Evgeniĭ Evgen’evich 5 Breiding, Paul 5 Fan, Jinyan 5 Hu, ShengLong 5 Huang, Ting-Zhu 5 Ji, Teng-Yu 5 Jiang, Yaolin 5 Kong, Xu 5 Li, Zhening 5 Nouy, Anthony 5 Oseledets, Ivan V. 5 Qi, Yang 5 Venturi, Daniele 5 Wang, Yiju 5 Zhang, Xinzhen 5 Zhao, Xile 5 Zhou, Anwa 4 Absil, Pierre-Antoine 4 Bremner, Murray R. 4 Chen, Haibin 4 De Lathauwer, Lieven 4 Dolgov, Sergey V. 4 Draisma, Jan 4 Falcó, Antonio 4 Favier, Gérard 4 Gallivan, Kyle A. 4 Huang, Wen 4 Jiang, Bo 4 Li, Wen 4 Loperfido, Nicola M. R. 4 Ng, Michael Kwok-Po 4 Ni, Guyan 4 Stavrou, Stavros Georgios 4 Sturmfels, Bernd 4 Teitler, Zach 4 Usevich, Konstantin 4 Xu, Changqing 4 Ye, Ke 3 Bachmayr, Markus 3 Benson, Austin R. 3 Chen, Yannan 3 Chu, Delin 3 Chu, Moody T. 3 de Almeida, André L. F. 3 Espig, Mike 3 Gelß, Patrick 3 Gleich, David F. 3 Jørgensen, Palle E. T. 3 Li, Chaoqian 3 Liu, Qilong 3 Massarenti, Alex 3 Mourrain, Bernard 3 Oneto, Alessandro 3 Parrilo, Pablo A. 3 Robeva, Elina 3 Schütte, Christof 3 Seigal, Anna Leah 3 So, Anthony Man-Cho 3 Suykens, Johan A. K. 3 Ventura, Emanuele 3 Wang, Miaoyan 3 Zhang, Shuzhong 3 Zhao, Ruijuan 3 Zheng, Baodong 3 Zheng, Bing 2 Angelini, Elena 2 Ashraphijuo, Morteza 2 Aswani, Anil 2 Aulbach, Martin 2 Bai, Minru 2 Batselier, Kim 2 Boyer, Rémy 2 Brachat, Jerome 2 Bu, Changjiang 2 Candès, Emmanuel J. 2 Carlini, Enrico 2 Catalisano, Maria Virginia 2 Chandrasekaran, Venkat 2 Chen, Zhongming 2 Cheriet, Mohamed 2 Csató, László 2 Cui, Lubin ...and 669 more Authors
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#### Cited in 150 Serials

 42 Linear Algebra and its Applications 37 SIAM Journal on Matrix Analysis and Applications 29 Linear and Multilinear Algebra 18 Foundations of Computational Mathematics 14 SIAM Journal on Scientific Computing 13 Journal of Computational and Applied Mathematics 12 Journal of Computational Physics 12 Computational Optimization and Applications 11 Frontiers of Mathematics in China 10 Numerische Mathematik 10 SIAM Journal on Optimization 9 Mathematical Programming. Series A. Series B 8 Numerical Linear Algebra with Applications 7 Journal of Symbolic Computation 7 Journal of Machine Learning Research (JMLR) 7 SIAM Journal on Applied Algebra and Geometry 6 Journal of Mathematical Physics 6 SIAM Journal on Imaging Sciences 5 Transactions of the American Mathematical Society 5 SIAM Review 5 Applied and Computational Harmonic Analysis 4 Psychometrika 4 Mathematics of Computation 4 Advances in Mathematics 4 The Annals of Statistics 4 Applied Numerical Mathematics 4 Journal of Scientific Computing 4 Numerical Algorithms 4 Computational and Applied Mathematics 4 Mathematics 4 Open Mathematics 3 Applied Mathematics and Computation 3 Collectanea Mathematica 3 Information Sciences 3 Mathematics of Operations Research 3 Constructive Approximation 3 Discrete & Computational Geometry 3 Multidimensional Systems and Signal Processing 3 Science China. Mathematics 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Control 2 Journal of the Franklin Institute 2 Journal of Mathematical Analysis and Applications 2 Physics Reports 2 Acta Mathematica Vietnamica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Multivariate Analysis 2 Journal of Optimization Theory and Applications 2 Mathematische Zeitschrift 2 Advances in Applied Mathematics 2 Bulletin of the Iranian Mathematical Society 2 Journal of Complexity 2 Applied Mathematics Letters 2 Machine Learning 2 Neural Computation 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Global Optimization 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Computational Statistics and Data Analysis 2 Advances in Computational Mathematics 2 Archives of Computational Methods in Engineering 2 Computational Methods in Applied Mathematics 2 Mediterranean Journal of Mathematics 2 Acta Numerica 2 Journal of Industrial and Management Optimization 2 Optimization Letters 2 Algorithms 2 ISRN Geometry 2 Arabian Journal of Mathematics 2 Geometry 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 International Journal of Heat and Mass Transfer 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Nonlinearity 1 Physica A 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Annals of Probability 1 Archiv der Mathematik 1 Automatica 1 Biometrical Journal 1 BIT 1 Calcolo 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Algebra 1 Journal of the American Statistical Association 1 Journal of Applied Probability 1 Journal of Combinatorial Theory. Series A 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Operations Research ...and 50 more Serials
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#### Cited in 50 Fields

 288 Linear and multilinear algebra; matrix theory (15-XX) 190 Numerical analysis (65-XX) 80 Operations research, mathematical programming (90-XX) 65 Algebraic geometry (14-XX) 64 Computer science (68-XX) 43 Statistics (62-XX) 26 Information and communication theory, circuits (94-XX) 21 Combinatorics (05-XX) 21 Probability theory and stochastic processes (60-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 18 Partial differential equations (35-XX) 18 Quantum theory (81-XX) 16 Functional analysis (46-XX) 15 Commutative algebra (13-XX) 15 Differential geometry (53-XX) 14 Approximations and expansions (41-XX) 14 Operator theory (47-XX) 13 Systems theory; control (93-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Convex and discrete geometry (52-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Biology and other natural sciences (92-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Number theory (11-XX) 6 Functions of a complex variable (30-XX) 6 Manifolds and cell complexes (57-XX) 6 Fluid mechanics (76-XX) 5 Group theory and generalizations (20-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of deformable solids (74-XX) 4 Field theory and polynomials (12-XX) 4 Topological groups, Lie groups (22-XX) 4 Measure and integration (28-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Real functions (26-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 3 Geophysics (86-XX) 2 Nonassociative rings and algebras (17-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX)

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