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Algorithm 862

swMATH ID: 7347
Software Authors: Brett W. Bader; Tamara G. Kolda
Description: Algorithm 862: MATLAB tensor classes for fast algorithm prototyping. Tensors (also known as multidimensional arrays or N-way arrays) are used in a variety of applications ranging from chemometrics to psychometrics. We describe four MATLAB classes for tensor manipulations that can be used for fast algorithm prototyping. The tensor class extends the functionality of MATLAB’s multidimensional arrays by supporting additional operations such as tensor multiplication. The tensor_as_matrix class supports the “matricization” of a tensor, that is, the conversion of a tensor to a matrix (and vice versa), a commonly used operation in many algorithms. Two additional classes represent tensors stored in decomposed formats: cp_tensor and tucker_tensor. We describe all of these classes and then demonstrate their use by showing how to implement several tensor algorithms that have appeared in the literature.
Homepage: http://dl.acm.org/citation.cfm?id=1186794
Dependencies: Matlab
Related Software: TensorToolbox; Matlab; Tensorlab; htucker; TT Toolbox; N-way Toolbox; ERPWAVELAB; LAPACK; Blitz++; TAMRESH; POOMA; mctoolbox; TENSOLVE; RandNLA; Chebfun; Blendenpik; cross2D; DFacTo; SPLATT; GitHub
Cited in: 81 Publications
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Cited by 161 Authors

7 Kolda, Tamara Gibson
5 Wei, Yimin
4 Kressner, Daniel
3 Che, Maolin
3 Eldén, Lars
3 Savas, Berkant
2 Bader, Brett W.
2 Balaji, Bhashyam
2 Bentkamp, Alexander
2 Blanchette, Jasmin Christian
2 Chen, Yannan
2 Chou, Lot-Kei
2 Fan, Hung-Yuan
2 Jin, Xiaoqing
2 Klakow, Dietrich
2 Lei, Siulong
2 Li, Wen
2 Tobler, Christine
2 Xie, Ze-Jia
2 Yan, Hong
1 Auzinger, Winfried
1 Bahuguna, Sandeep-Kumar
1 Ballard, Grey M.
1 Ballico, Edoardo
1 Bance, S.
1 Barnard, Richard C.
1 Batselier, Kim
1 Battaglino, Casey
1 Bebendorf, Mario
1 Becker, Stephen R.
1 Behera, Ratikanta
1 Benson, Austin R.
1 Bhatt, Vineet
1 Bientinesi, Paolo
1 Bourennane, Salah
1 Bozorgmanesh, Hassan
1 Cai, Xingju
1 Chen, Guangliang
1 Chen, Jie
1 Chen, Juefei
1 Cheng, Cheman
1 Chu, Delin
1 Chu, Eric K.-W.
1 Chu, Moody T.
1 Comon, Pierre
1 Dai, Yu-Hong
1 De Lathauwer, Lieven
1 De Sterck, Hans
1 Deng, Mingyu
1 Döhler, Michael
1 Duersch, Jed A.
1 Dumett, Miguel A.
1 Dunlavy, Daniel M.
1 Etter, Simon
1 Eustaquio, Rodrigo G.
1 Exl, Lukas
1 Fossati, Caroline
1 Gao, David Yang
1 Gao, Huan
1 Ghannam, Mai
1 Glau, Kathrin
1 Gleich, David F.
1 Götz, Thomas B.
1 Grasedyck, Lars
1 Gu, Chuanqing
1 Guan, Yu
1 Gundersen, Geir
1 Günther, Michael
1 Guo, Xueping
1 Gusenbauer, Markus
1 Hajarian, Masoud
1 Han, Deren
1 Harrison, Andrew P.
1 Hauck, Cory D.
1 Hnětynková, Iveta
1 Hong, David
1 Howse, Alexander J. M.
1 Jananthan, Hayden
1 Jenko, Frank
1 Jiwari, Ram
1 Junkins, John L.
1 Karaman, Sertac
1 Kegelmeyer, W. Philip
1 Kepner, Jeremy
1 Khoromskaia, Venera
1 Khoromskiĭ, Boris Nikolaevich
1 Kilmer, Misha Elena
1 King-wah Chu, Eric
1 Kumar, K. Harish
1 Kunis, Stefan
1 Kuske, Christian
1 Leiserson, Charles E.
1 Lerman, Gilad
1 Li, Zhibao
1 Lim, Lek-Heng
1 Liţa, Lăcrămioara
1 Litvinenko, Alexander
1 Liu, Dongdong
1 Liu, Haotian
1 Liu, Weihui
...and 61 more Authors

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