Tensorlab swMATH ID: 14255 Software Authors: L. Sorber, M. Van Barel, L. De Lathauwer Description: Tensorlab: A MATLAB Toolbox for Tensor Computations. Tensorlab is a MATLAB toolbox that offers algorithms for: structured data fusion: define your own (coupled) matrix and tensor factorizations with structured factors and support for dense, sparse and incomplete data sets, tensor decompositions: canonical polyadic decomposition (CPD), multilinear singular value decomposition (MLSVD), block term decompositions (BTD) and low multilinear rank approximation (LMLRA), complex optimization: quasi-Newton and nonlinear-least squares optimization with complex variables including numerical complex differentiation, global minimization of bivariate polynomials and rational functions: both real and complex exact line search (LS) and real exact plane search (PS) for tensor optimization, and much more: cumulants, tensor visualization, estimating a tensor’s rank or multilinear rank, … Homepage: http://www.tensorlab.net/ Dependencies: Matlab Related Software: TensorToolbox; Matlab; TT Toolbox; RandNLA; Complex Optimization Toolbox; Algorithm 862; GeoPDEs; GitHub; cross2D; htucker; PMA; Macaulay2; TKPSVD; MCTDH; BCLS; mctoolbox; CIRR; FEAST; Manopt; COIL-20 Cited in: 81 Publications all top 5 Cited by 151 Authors 9 De Lathauwer, Lieven 7 Yang, Yuning 5 Tani, Mattia 5 Wei, Yimin 4 Che, Maolin 4 Domanov, Ignat 4 Sangalli, Giancarlo 4 Van Barel, Marc 3 Batselier, Kim 3 Breiding, Paul 3 Chu, Moody T. 3 Dreesen, Philippe 3 Ishteva, Mariya 3 Lin, Matthew M. 3 Mao, Xianpeng 3 Montardini, Monica 3 Vannieuwenhoven, Nick 3 Yan, Hong 2 Cai, Yunfeng 2 Ceruti, Gianluca 2 Evert, Eric 2 Lubich, Christian 2 Mourrain, Bernard 2 Nakatsukasa, Yuji 2 Soma, Tasuku 2 Sørensen, Mikael 2 Sturmfels, Bernd 2 Uschmajew, André 2 Usevich, Konstantin 2 Vanderstukken, Jeroen 2 Xu, Yangyang 1 A, Suganya 1 Ahmadi-Asl, Salman 1 Ahmed, Talal 1 Ahn, Miju 1 Bajwa, Waheed Uz Zaman 1 Ballard, Grey M. 1 Beik, Fatemeh Panjeh Ali 1 Beltrán, Carlos 1 Benner, Peter 1 Bermudez, José Carlos Moreira 1 Bientinesi, Paolo 1 Borsoi, Ricardo Augusto 1 Brie, David 1 Chi, Eric C. 1 Chu, Eric K.-W. 1 Cichocki, Andrzej 1 Cuyt, Annie A. M. 1 Daas, Hussam Al 1 Debals, Otto 1 Dharma, Dejey 1 Dong, Shuyu 1 Eikmeier, Nicole 1 Fan, Hung-Yuan 1 Fanaee-T, Hadi 1 Feng, Yuehua 1 Feng, Yunlong 1 Gaines, Brian J. 1 Gao, Bin 1 Glineur, François 1 Grasedyck, Lars 1 Guan, Yu 1 Haddock, Jamie 1 Hashemi, Behnam 1 Hauenstein, Jonathan D. 1 Huang, XiaoLin 1 Insuasty, Edwin 1 Jansen, Jan-Dirk 1 Jüttler, Bert 1 Kaihnsa, Nidhi 1 Kassab, Lara 1 Khalil, Houssam 1 Kharyuk, P. V. 1 Khouja, Rima 1 Kilmer, Misha Elena 1 Knaepkens, Ferre 1 Kravanja, Peter 1 Kressner, Daniel 1 Kryshchenko, Alona 1 Kummer, Mario Denis 1 Kuo, Yueh-Cheng 1 Kürschner, Patrick 1 Lee, Tsung-Lin 1 Lee, Wen-shin 1 Leonard, Kathryn 1 Li, Min 1 Li, Rencang 1 Li, Zhening 1 Liang, Chang 1 Liu, Chengyu 1 Loli, Gabriele 1 Luo, Yuetian 1 Macedo, Hugo Daniel 1 Madushani, R. W. M. A. 1 Mamitsuka, Hiroshi 1 Massarenti, Alex 1 Mella, Massimiliano 1 Minster, Rachel 1 Mokriš, Dominik 1 Namin, Mahsa Sayyary ...and 51 more Authors all top 5 Cited in 38 Serials 18 SIAM Journal on Matrix Analysis and Applications 7 SIAM Journal on Scientific Computing 6 Linear Algebra and its Applications 4 Journal of Computational and Applied Mathematics 3 Journal of Scientific Computing 2 Computers & Mathematics with Applications 2 BIT 2 SIAM Journal on Optimization 2 Numerical Linear Algebra with Applications 2 Computational and Applied Mathematics 2 Journal of Machine Learning Research (JMLR) 2 SIAM Journal on Mathematics of Data Science 1 Computer Methods in Applied Mechanics and Engineering 1 Linear and Multilinear Algebra 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Computer Aided Geometric Design 1 Journal of Symbolic Computation 1 Formal Aspects of Computing 1 Multidimensional Systems and Signal Processing 1 Neural Computation 1 Journal of Global Optimization 1 Computational Mathematics and Mathematical Physics 1 Mathematical Programming. Series A. Series B 1 Experimental Mathematics 1 Computational Optimization and Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Chaos 1 Data Mining and Knowledge Discovery 1 Computational Geosciences 1 Analysis and Applications (Singapore) 1 GAMM-Mitteilungen 1 SIAM Journal on Imaging Sciences 1 Communications on Applied Mathematics and Computation all top 5 Cited in 26 Fields 51 Linear and multilinear algebra; matrix theory (15-XX) 46 Numerical analysis (65-XX) 15 Computer science (68-XX) 11 Operations research, mathematical programming (90-XX) 9 Algebraic geometry (14-XX) 6 Approximations and expansions (41-XX) 5 Statistics (62-XX) 5 Information and communication theory, circuits (94-XX) 4 Commutative algebra (13-XX) 4 Partial differential equations (35-XX) 4 Differential geometry (53-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year