Soto-Quiros, Pablo Convergence analysis of iterative methods for computing the T-pseudoinverse of complete full-rank third-order tensors based on the T-product. (English) Zbl 1515.65086 Results Appl. Math. 18, Article ID 100372, 7 p. (2023). MSC: 65F20 15A69 PDFBibTeX XMLCite \textit{P. Soto-Quiros}, Results Appl. Math. 18, Article ID 100372, 7 p. (2023; Zbl 1515.65086) Full Text: DOI
Cao, Zhengbang; Xie, Pengpeng On some tensor inequalities based on the t-product. (English) Zbl 1518.15027 Linear Multilinear Algebra 71, No. 3, 377-390 (2023). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A69 15A45 15A42 PDFBibTeX XMLCite \textit{Z. Cao} and \textit{P. Xie}, Linear Multilinear Algebra 71, No. 3, 377--390 (2023; Zbl 1518.15027) Full Text: DOI arXiv
Liu, Yanhui; Zeng, Xueying; Wang, Weiguo Proximal gradient algorithm for nonconvex low tubal rank tensor recovery. (English) Zbl 1511.65037 BIT 63, No. 2, Paper No. 25, 23 p. (2023). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{Y. Liu} et al., BIT 63, No. 2, Paper No. 25, 23 p. (2023; Zbl 1511.65037) Full Text: DOI
Zhang, Shuang; Han, Le Robust tensor recovery with nonconvex and nonsmooth regularization. (English) Zbl 1510.90216 Appl. Math. Comput. 438, Article ID 127566, 15 p. (2023). MSC: 90C26 15A69 49J52 90C56 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{L. Han}, Appl. Math. Comput. 438, Article ID 127566, 15 p. (2023; Zbl 1510.90216) Full Text: DOI
El Ichi, Alaa; Jbilou, Khalide; Sadaka, Rachid On tensor tubal-Krylov subspace methods. (English) Zbl 1514.65035 Linear Multilinear Algebra 70, No. 22, 7575-7598 (2022). MSC: 65F10 15A69 65F22 PDFBibTeX XMLCite \textit{A. El Ichi} et al., Linear Multilinear Algebra 70, No. 22, 7575--7598 (2022; Zbl 1514.65035) Full Text: DOI
Duan, Shan-Qi; Duan, Xue-Feng; Zhao, Xi-Le A new tensor multi-rank approximation with total variation regularization for tensor completion. (English) Zbl 1507.65085 J. Sci. Comput. 93, No. 3, Paper No. 61, 31 p. (2022). MSC: 65F55 65D18 15A69 94A08 90C26 65F22 PDFBibTeX XMLCite \textit{S.-Q. Duan} et al., J. Sci. Comput. 93, No. 3, Paper No. 61, 31 p. (2022; Zbl 1507.65085) Full Text: DOI
He, Hongjin; Ling, Chen; Xie, Wenhui Tensor completion via a generalized transformed tensor T-product decomposition without t-SVD. (English) Zbl 1507.65086 J. Sci. Comput. 93, No. 2, Paper No. 47, 35 p. (2022). MSC: 65F55 15A69 15A23 65F15 PDFBibTeX XMLCite \textit{H. He} et al., J. Sci. Comput. 93, No. 2, Paper No. 47, 35 p. (2022; Zbl 1507.65086) Full Text: DOI
Cao, Zhengbang; Xie, Pengpeng Perturbation analysis for t-product-based tensor inverse, Moore-Penrose inverse and tensor system. (English) Zbl 1513.65129 Commun. Appl. Math. Comput. 4, No. 4, 1441-1456 (2022). MSC: 65F99 15A69 15A09 65F20 PDFBibTeX XMLCite \textit{Z. Cao} and \textit{P. Xie}, Commun. Appl. Math. Comput. 4, No. 4, 1441--1456 (2022; Zbl 1513.65129) Full Text: DOI arXiv
Che, Maolin; Wei, Yimin An efficient algorithm for computing the approximate t-URV and its applications. (English) Zbl 1498.65062 J. Sci. Comput. 92, No. 3, Paper No. 93, 27 p. (2022). MSC: 65F99 15A69 PDFBibTeX XMLCite \textit{M. Che} and \textit{Y. Wei}, J. Sci. Comput. 92, No. 3, Paper No. 93, 27 p. (2022; Zbl 1498.65062) Full Text: DOI
Bentbib, A. H.; El Hachimi, A.; Jbilou, K.; Ratnani, A. Fast multidimensional completion and principal component analysis methods via the cosine product. (English) Zbl 1492.65122 Calcolo 59, No. 3, Paper No. 26, 33 p. (2022). MSC: 65F99 15A23 15A69 15A83 62H25 90C25 94A08 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., Calcolo 59, No. 3, Paper No. 26, 33 p. (2022; Zbl 1492.65122) Full Text: DOI
Zheng, Yu-Bang; Huang, Ting-Zhu; Zhao, Xi-Le; Zhao, Qibin Tensor completion via fully-connected tensor network decomposition with regularized factors. (English) Zbl 1498.65064 J. Sci. Comput. 92, No. 1, Paper No. 8, 35 p. (2022). MSC: 65F99 65K10 15A69 PDFBibTeX XMLCite \textit{Y.-B. Zheng} et al., J. Sci. Comput. 92, No. 1, Paper No. 8, 35 p. (2022; Zbl 1498.65064) Full Text: DOI
Zhao, Xueying; Bai, Minru; Sun, Defeng; Zheng, Libin Robust tensor completion: equivalent surrogates, error bounds, and algorithms. (English) Zbl 1497.65080 SIAM J. Imaging Sci. 15, No. 2, 625-669 (2022). MSC: 65F55 15A69 68U10 90C26 PDFBibTeX XMLCite \textit{X. Zhao} et al., SIAM J. Imaging Sci. 15, No. 2, 625--669 (2022; Zbl 1497.65080) Full Text: DOI
Chen, Juefei; Wei, Yimin; Xu, Yanwei Tensor CUR decomposition under T-product and its perturbation. (English) Zbl 1490.15037 Numer. Funct. Anal. Optim. 43, No. 6, 698-722 (2022). MSC: 15A69 15A23 15A18 65F15 65F10 PDFBibTeX XMLCite \textit{J. Chen} et al., Numer. Funct. Anal. Optim. 43, No. 6, 698--722 (2022; Zbl 1490.15037) Full Text: DOI
El Guide, Mohamed; El Ichi, Alaa; Jbilou, Khalide Discrete cosine transform LSQR methods for multidimensional ill-posed problems. (English) Zbl 1499.65137 J. Math. Model. 10, No. 1, 21-37 (2022). MSC: 65F22 15A69 65F10 PDFBibTeX XMLCite \textit{M. El Guide} et al., J. Math. Model. 10, No. 1, 21--37 (2022; Zbl 1499.65137) Full Text: DOI arXiv
Chang, Shih Yu; Wei, Yimin T-product tensors. II: Tail bounds for sums of random T-product tensors. (English) Zbl 1499.15082 Comput. Appl. Math. 41, No. 3, Paper No. 99, 32 p. (2022). MSC: 15A69 15A42 PDFBibTeX XMLCite \textit{S. Y. Chang} and \textit{Y. Wei}, Comput. Appl. Math. 41, No. 3, Paper No. 99, 32 p. (2022; Zbl 1499.15082) Full Text: DOI arXiv
Reichel, Lothar; Ugwu, Ugochukwu O. Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure. (English) Zbl 1481.65060 J. Sci. Comput. 90, No. 1, Paper No. 59, 39 p. (2022). MSC: 65F22 65F10 15A69 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{U. O. Ugwu}, J. Sci. Comput. 90, No. 1, Paper No. 59, 39 p. (2022; Zbl 1481.65060) Full Text: DOI arXiv
Wang, Shiping; Chen, Zhaoliang; Zhu, William; Wang, Fei-Yue Deep random walk of unitary invariance for large-scale data representation. (English) Zbl 1484.68199 Inf. Sci. 554, 1-14 (2021). MSC: 68T05 15A23 60G50 68T09 PDFBibTeX XMLCite \textit{S. Wang} et al., Inf. Sci. 554, 1--14 (2021; Zbl 1484.68199) Full Text: DOI
Li, Minghui; Li, Wen; Chen, Yannan; Xiao, Mingqing The nonconvex tensor robust principal component analysis approximation model via the weighted \(\ell_p\)-norm regularization. (English) Zbl 1484.62074 J. Sci. Comput. 89, No. 3, Paper No. 67, 37 p. (2021). MSC: 62H25 65K05 15A69 65F55 PDFBibTeX XMLCite \textit{M. Li} et al., J. Sci. Comput. 89, No. 3, Paper No. 67, 37 p. (2021; Zbl 1484.62074) Full Text: DOI
Li, Xia; Wang, Yong; Huang, Zheng-Hai Continuity, differentiability and semismoothness of generalized tensor functions. (English) Zbl 1476.15044 J. Ind. Manag. Optim. 17, No. 6, 3525-3550 (2021). MSC: 15A69 49J50 49J52 PDFBibTeX XMLCite \textit{X. Li} et al., J. Ind. Manag. Optim. 17, No. 6, 3525--3550 (2021; Zbl 1476.15044) Full Text: DOI
Chen, Xuemei; Qin, Jing Regularized Kaczmarz algorithms for tensor recovery. (English) Zbl 1524.65129 SIAM J. Imaging Sci. 14, No. 4, 1439-1471 (2021). MSC: 65F10 15A69 94A08 PDFBibTeX XMLCite \textit{X. Chen} and \textit{J. Qin}, SIAM J. Imaging Sci. 14, No. 4, 1439--1471 (2021; Zbl 1524.65129) Full Text: DOI arXiv
Hou, Jingyao; Zhang, Feng; Wang, Jianjun One-bit tensor completion via transformed tensor singular value decomposition. (English) Zbl 1481.90252 Appl. Math. Modelling 95, 760-782 (2021). MSC: 90C25 90C59 65J22 65C20 15A69 PDFBibTeX XMLCite \textit{J. Hou} et al., Appl. Math. Modelling 95, 760--782 (2021; Zbl 1481.90252) Full Text: DOI
Chen, Jinchi; Gao, Weiguo; Wei, Ke Exact matrix completion based on low rank Hankel structure in the Fourier domain. (English) Zbl 1472.15038 Appl. Comput. Harmon. Anal. 55, 149-184 (2021). MSC: 15A83 65F50 PDFBibTeX XMLCite \textit{J. Chen} et al., Appl. Comput. Harmon. Anal. 55, 149--184 (2021; Zbl 1472.15038) Full Text: DOI arXiv
Beik, F. P. A.; El Ichi, A.; Jbilou, K.; Sadaka, R. Tensor extrapolation methods with applications. (English) Zbl 1472.65049 Numer. Algorithms 87, No. 4, 1421-1444 (2021). MSC: 65F22 15A69 PDFBibTeX XMLCite \textit{F. P. A. Beik} et al., Numer. Algorithms 87, No. 4, 1421--1444 (2021; Zbl 1472.65049) Full Text: DOI arXiv
Zheng, Meng-Meng; Huang, Zheng-Hai; Wang, Yong T-positive semidefiniteness of third-order symmetric tensors and T-semidefinite programming. (English) Zbl 1465.15031 Comput. Optim. Appl. 78, No. 1, 239-272 (2021). MSC: 15A69 90C22 PDFBibTeX XMLCite \textit{M.-M. Zheng} et al., Comput. Optim. Appl. 78, No. 1, 239--272 (2021; Zbl 1465.15031) Full Text: DOI arXiv
Qiu, Duo; Bai, Minru; Ng, Michael K.; Zhang, Xiongjun Robust low transformed multi-rank tensor methods for image alignment. (English) Zbl 1464.65020 J. Sci. Comput. 87, No. 1, Paper No. 24, 40 p. (2021). MSC: 65D18 68U10 94A08 15A69 PDFBibTeX XMLCite \textit{D. Qiu} et al., J. Sci. Comput. 87, No. 1, Paper No. 24, 40 p. (2021; Zbl 1464.65020) Full Text: DOI
Qiu, Duo; Bai, Minru; Ng, Michael K.; Zhang, Xiongjun Nonlocal robust tensor recovery with nonconvex regularization. (English) Zbl 1464.65039 Inverse Probl. 37, No. 3, Article ID 035001, 32 p. (2021). MSC: 65F22 15A69 PDFBibTeX XMLCite \textit{D. Qiu} et al., Inverse Probl. 37, No. 3, Article ID 035001, 32 p. (2021; Zbl 1464.65039) Full Text: DOI
Yang, Jing-Hua; Zhao, Xi-Le; Ma, Tian-Hui; Ding, Meng; Huang, Ting-Zhu Tensor train rank minimization with hybrid smoothness regularization for visual data recovery. (English) Zbl 1481.90257 Appl. Math. Modelling 81, 711-726 (2020). MSC: 90C25 15A69 15A83 94A08 PDFBibTeX XMLCite \textit{J.-H. Yang} et al., Appl. Math. Modelling 81, 711--726 (2020; Zbl 1481.90257) Full Text: DOI
Zheng, Yu-Bang; Huang, Ting-Zhu; Zhao, Xi-Le; Jiang, Tai-Xiang; Ji, Teng-Yu; Ma, Tian-Hui Tensor \(N\)-tubal rank and its convex relaxation for low-rank tensor recovery. (English) Zbl 1459.68181 Inf. Sci. 532, 170-189 (2020). MSC: 68T05 15A69 62H25 PDFBibTeX XMLCite \textit{Y.-B. Zheng} et al., Inf. Sci. 532, 170--189 (2020; Zbl 1459.68181) Full Text: DOI arXiv
Zhao, Xueying; Bai, Minru; Ng, Michael K. Nonconvex optimization for robust tensor completion from grossly sparse observations. (English) Zbl 1472.65056 J. Sci. Comput. 85, No. 2, Paper No. 46, 31 p. (2020). MSC: 65F99 90C26 15A69 PDFBibTeX XMLCite \textit{X. Zhao} et al., J. Sci. Comput. 85, No. 2, Paper No. 46, 31 p. (2020; Zbl 1472.65056) Full Text: DOI
Yang, Ming; Luo, Qilun; Li, Wen; Xiao, Mingqing Multiview clustering of images with tensor rank minimization via nonconvex approach. (English) Zbl 1459.62125 SIAM J. Imaging Sci. 13, No. 4, 2361-2392 (2020). MSC: 62H30 62H35 15A69 94A08 PDFBibTeX XMLCite \textit{M. Yang} et al., SIAM J. Imaging Sci. 13, No. 4, 2361--2392 (2020; Zbl 1459.62125) Full Text: DOI
Wang, Xuezhong; Che, Maolin; Wei, Yimin Tensor neural network models for tensor singular value decompositions. (English) Zbl 1441.65040 Comput. Optim. Appl. 75, No. 3, 753-777 (2020). MSC: 65F15 15A18 15A69 65F10 PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Optim. Appl. 75, No. 3, 753--777 (2020; Zbl 1441.65040) Full Text: DOI
Zhang, Feng; Wang, Wendong; Huang, Jianwen; Wang, Jianjun; Wang, Yao RIP-based performance guarantee for low-tubal-rank tensor recovery. (English) Zbl 1515.90103 J. Comput. Appl. Math. 374, Article ID 112767, 14 p. (2020). Reviewer: Ernö Robert Csetnek (Wien) MSC: 90C25 65J22 53A45 15A69 PDFBibTeX XMLCite \textit{F. Zhang} et al., J. Comput. Appl. Math. 374, Article ID 112767, 14 p. (2020; Zbl 1515.90103) Full Text: DOI arXiv
Jiang, Tai-Xiang; Huang, Ting-Zhu; Zhao, Xi-Le; Deng, Liang-Jian Multi-dimensional imaging data recovery via minimizing the partial sum of tubal nuclear norm. (English) Zbl 1432.68530 J. Comput. Appl. Math. 372, Article ID 112680, 15 p. (2020). MSC: 68U10 15A69 62H25 68T05 PDFBibTeX XMLCite \textit{T.-X. Jiang} et al., J. Comput. Appl. Math. 372, Article ID 112680, 15 p. (2020; Zbl 1432.68530) Full Text: DOI arXiv