Zeng, Chao; Ng, Michael K.; Jiang, Tai-Xiang Incremental algorithms for truncated higher-order singular value decompositions. (English) Zbl 07790949 BIT 64, No. 1, Paper No. 4, 28 p. (2024). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{C. Zeng} et al., BIT 64, No. 1, Paper No. 4, 28 p. (2024; Zbl 07790949) Full Text: DOI
Che, Maolin; Wei, Yimin; Xu, Yanwei Randomized algorithms for the computation of multilinear rank-\((\mu_1,\mu_2,\mu_3)\) approximations. (English) Zbl 07762762 J. Glob. Optim. 87, No. 2-4, 373-403 (2023). MSC: 65Fxx 65Kxx 68W20 15A18 15A69 PDFBibTeX XMLCite \textit{M. Che} et al., J. Glob. Optim. 87, No. 2--4, 373--403 (2023; Zbl 07762762) Full Text: DOI
Minaev, Yu. M.; Filimonova, O. Yu.; Minaeva, Yu. I. Forecasting of fuzzy time series based on the concept of the nearest fuzzy sets and tensor models of time series. (English. Ukrainian original) Zbl 1510.62389 Cybern. Syst. Anal. 59, No. 1, 165-176 (2023); translation from Kibern. Sist. Anal. 59, No. 1, 191-204 (2023). MSC: 62M86 PDFBibTeX XMLCite \textit{Yu. M. Minaev} et al., Cybern. Syst. Anal. 59, No. 1, 165--176 (2023; Zbl 1510.62389); translation from Kibern. Sist. Anal. 59, No. 1, 191--204 (2023) Full Text: DOI
Ding, Minghui; Wei, Yimin; Xie, Pengpeng A randomized singular value decomposition for third-order oriented tensors. (English) Zbl 1515.65106 J. Optim. Theory Appl. 197, No. 1, 358-382 (2023). MSC: 65F99 15A69 65F15 PDFBibTeX XMLCite \textit{M. Ding} et al., J. Optim. Theory Appl. 197, No. 1, 358--382 (2023; Zbl 1515.65106) Full Text: DOI arXiv
Che, Maolin; Wei, Yimin; Yan, Hong Randomized algorithms for the low multilinear rank approximations of tensors. (English) Zbl 1462.65045 J. Comput. Appl. Math. 390, Article ID 113380, 20 p. (2021). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{M. Che} et al., J. Comput. Appl. Math. 390, Article ID 113380, 20 p. (2021; Zbl 1462.65045) Full Text: DOI arXiv
Shekhawat, Hanumant Singh; Weiland, Siep A locally convergent Jacobi iteration for the tensor singular value problem. (English) Zbl 1448.94085 Multidimensional Syst. Signal Process. 29, No. 3, 1075-1094 (2018). MSC: 94A12 15A18 65F15 PDFBibTeX XMLCite \textit{H. S. Shekhawat} and \textit{S. Weiland}, Multidimensional Syst. Signal Process. 29, No. 3, 1075--1094 (2018; Zbl 1448.94085) Full Text: DOI
Hackbusch, Wolfgang; Kressner, Daniel; Uschmajew, André Perturbation of higher-order singular values. (English) Zbl 1371.15011 SIAM J. Appl. Algebra Geom. 1, No. 1, 374-387 (2017). MSC: 15A18 15A69 65F20 PDFBibTeX XMLCite \textit{W. Hackbusch} et al., SIAM J. Appl. Algebra Geom. 1, No. 1, 374--387 (2017; Zbl 1371.15011) Full Text: DOI
Pan, Junjun; Lu, Linzhang TP model transformation via sequentially truncated higher-order singular value decomposition. (English) Zbl 1332.90062 Asian J. Control 17, No. 2, 467-475 (2015). MSC: 90B18 15A18 93C15 93C05 PDFBibTeX XMLCite \textit{J. Pan} and \textit{L. Lu}, Asian J. Control 17, No. 2, 467--475 (2015; Zbl 1332.90062) Full Text: DOI
Batselier, Kim; Liu, Haotian; Wong, Ngai A constructive algorithm for decomposing a tensor into a finite sum of orthonormal rank-1 terms. (English) Zbl 1323.65039 SIAM J. Matrix Anal. Appl. 36, No. 3, 1315-1337 (2015). MSC: 65F30 65F20 15A69 PDFBibTeX XMLCite \textit{K. Batselier} et al., SIAM J. Matrix Anal. Appl. 36, No. 3, 1315--1337 (2015; Zbl 1323.65039) Full Text: DOI arXiv
Chen, Zhen; Lu, Linzhang A tensor singular values and its symmetric embedding eigenvalues. (English) Zbl 1285.15014 J. Comput. Appl. Math. 250, 217-228 (2013). MSC: 15A69 15A18 65F15 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{L. Lu}, J. Comput. Appl. Math. 250, 217--228 (2013; Zbl 1285.15014) Full Text: DOI
Savas, Berkant; Eldén, Lars Krylov-type methods for tensor computations.I. (English) Zbl 1258.65032 Linear Algebra Appl. 438, No. 2, 891-918 (2013). MSC: 65F10 65F20 15A72 PDFBibTeX XMLCite \textit{B. Savas} and \textit{L. Eldén}, Linear Algebra Appl. 438, No. 2, 891--918 (2013; Zbl 1258.65032) Full Text: DOI arXiv
Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl A new truncation strategy for the higher-order singular value decomposition. (English) Zbl 1247.65055 SIAM J. Sci. Comput. 34, No. 2, A1027-A1052 (2012). MSC: 65F20 15A69 PDFBibTeX XMLCite \textit{N. Vannieuwenhoven} et al., SIAM J. Sci. Comput. 34, No. 2, A1027--A1052 (2012; Zbl 1247.65055) Full Text: DOI Link
Abdallah, Emad E.; Ben Hamza, A.; Bhattacharya, Prabir Video watermarking using wavelet transform and tensor algebra. (English) Zbl 1194.94025 Signal Image Video Process. 4, No. 2, 233-245 (2010). MSC: 94A08 94A62 94A11 PDFBibTeX XMLCite \textit{E. E. Abdallah} et al., Signal Image Video Process. 4, No. 2, 233--245 (2010; Zbl 1194.94025) Full Text: DOI
González, David; Ammar, Amine; Chinesta, Francisco; Cueto, Elías Recent advances on the use of separated representations. (English) Zbl 1183.65168 Int. J. Numer. Methods Eng. 81, No. 5, 637-659 (2010). MSC: 65N99 PDFBibTeX XMLCite \textit{D. González} et al., Int. J. Numer. Methods Eng. 81, No. 5, 637--659 (2010; Zbl 1183.65168) Full Text: DOI HAL
Oseledets, I. V.; Tyrtyshnikov, E. E. Breaking the curse of dimensionality, or how to use SVD in many dimensions. (English) Zbl 1200.65028 SIAM J. Sci. Comput. 31, No. 5, 3744-3759 (2009). MSC: 65F20 15A12 65F10 65F15 15A69 PDFBibTeX XMLCite \textit{I. V. Oseledets} and \textit{E. E. Tyrtyshnikov}, SIAM J. Sci. Comput. 31, No. 5, 3744--3759 (2009; Zbl 1200.65028) Full Text: DOI Link
Kolda, Tamara G.; Bader, Brett W. Tensor decompositions and applications. (English) Zbl 1173.65029 SIAM Rev. 51, No. 3, 455-500 (2009). MSC: 65F20 15A69 65-02 65Y15 62H25 65C60 PDFBibTeX XMLCite \textit{T. G. Kolda} and \textit{B. W. Bader}, SIAM Rev. 51, No. 3, 455--500 (2009; Zbl 1173.65029) Full Text: DOI