Xia, Sijia; Qiu, Duo; Zhang, Xiongjun Tensor factorization via transformed tensor-tensor product for image alignment. (English) Zbl 07807001 Numer. Algorithms 95, No. 3, 1251-1289 (2024). MSC: 65D18 15A69 65F22 90C25 PDFBibTeX XMLCite \textit{S. Xia} et al., Numer. Algorithms 95, No. 3, 1251--1289 (2024; Zbl 07807001) Full Text: DOI arXiv
Dewaele, Nick; Breiding, Paul; Vannieuwenhoven, Nick The condition number of many tensor decompositions is invariant under Tucker compression. (English) Zbl 1523.65040 Numer. Algorithms 94, No. 2, 1003-1029 (2023). MSC: 65F35 65F55 15A69 PDFBibTeX XMLCite \textit{N. Dewaele} et al., Numer. Algorithms 94, No. 2, 1003--1029 (2023; Zbl 1523.65040) Full Text: DOI arXiv
Caliari, Marco; Cassini, Fabio; Zivcovich, Franco A \(\mu\)-mode BLAS approach for multidimensional tensor-structured problems. (English) Zbl 1528.15001 Numer. Algorithms 92, No. 4, 2483-2508 (2023). MSC: 15-04 15A69 65Y04 PDFBibTeX XMLCite \textit{M. Caliari} et al., Numer. Algorithms 92, No. 4, 2483--2508 (2023; Zbl 1528.15001) Full Text: DOI arXiv
Cipolla, Stefano; Pozza, Stefano; Redivo-Zaglia, Michela; Van Buggenhout, Niel A Lanczos-type procedure for tensors. (English) Zbl 1507.65287 Numer. Algorithms 92, No. 1, 377-406 (2023). MSC: 65P10 15A69 65L05 65L20 PDFBibTeX XMLCite \textit{S. Cipolla} et al., Numer. Algorithms 92, No. 1, 377--406 (2023; Zbl 1507.65287) Full Text: DOI arXiv
Eldén, Lars; Dehghan, Maryam A Krylov-Schur-like method for computing the best rank-\((r_1,r_2,r_3)\) approximation of large and sparse tensors. (English) Zbl 1500.65016 Numer. Algorithms 91, No. 3, 1315-1347 (2022). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{L. Eldén} and \textit{M. Dehghan}, Numer. Algorithms 91, No. 3, 1315--1347 (2022; Zbl 1500.65016) Full Text: DOI arXiv
Wang, Xuezhong; Mo, Changxin; Che, Maolin; Wei, Yimin Accelerated dynamical approaches for finding the unique positive solution of \(\mathcal{KS}\)-tensor equations. (English) Zbl 1482.65060 Numer. Algorithms 88, No. 4, 1787-1810 (2021). MSC: 65F15 65F10 15A69 PDFBibTeX XMLCite \textit{X. Wang} et al., Numer. Algorithms 88, No. 4, 1787--1810 (2021; Zbl 1482.65060) Full Text: DOI
Rauhut, Holger; Stojanac, Željka Tensor theta norms and low rank recovery. (English) Zbl 1474.13058 Numer. Algorithms 88, No. 1, 25-66 (2021). Reviewer: Edoardo Ballico (Povo) MSC: 13P10 15A69 15A60 52A41 90C22 90C25 94A20 PDFBibTeX XMLCite \textit{H. Rauhut} and \textit{Ž. Stojanac}, Numer. Algorithms 88, No. 1, 25--66 (2021; Zbl 1474.13058) Full Text: DOI arXiv
Huang, Baohua Numerical study on Moore-Penrose inverse of tensors via Einstein product. (English) Zbl 1472.15035 Numer. Algorithms 87, No. 4, 1767-1797 (2021). MSC: 15A69 15A09 65F20 PDFBibTeX XMLCite \textit{B. Huang}, Numer. Algorithms 87, No. 4, 1767--1797 (2021; Zbl 1472.15035) Full Text: DOI
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
Bai, Xueli; He, Hongjin; Ling, Chen; Zhou, Guanglu A nonnegativity preserving algorithm for multilinear systems with nonsingular \(\mathcal{M}\)-tensors. (English) Zbl 1473.65053 Numer. Algorithms 87, No. 3, 1301-1320 (2021). MSC: 65F99 15A69 PDFBibTeX XMLCite \textit{X. Bai} et al., Numer. Algorithms 87, No. 3, 1301--1320 (2021; Zbl 1473.65053) Full Text: DOI arXiv
Duan, Xue-Feng; Li, Juan; Duan, Shan-Qi; Wang, Qing-Wen Numerical method for the generalized nonnegative tensor factorization problem. (English) Zbl 1465.65037 Numer. Algorithms 87, No. 2, 499-510 (2021). MSC: 65F99 15A69 PDFBibTeX XMLCite \textit{X.-F. Duan} et al., Numer. Algorithms 87, No. 2, 499--510 (2021; Zbl 1465.65037) Full Text: DOI
Li, Xin; Huang, Ting-Zhu; Zhao, Xi-Le; Ji, Teng-Yu; Zheng, Yu-Bang; Deng, Liang-Jian Adaptive total variation and second-order total variation-based model for low-rank tensor completion. (English) Zbl 1456.65029 Numer. Algorithms 86, No. 1, 1-24 (2021). MSC: 65F55 15A69 15A83 PDFBibTeX XMLCite \textit{X. Li} et al., Numer. Algorithms 86, No. 1, 1--24 (2021; Zbl 1456.65029) Full Text: DOI
Beik, Fatemeh P. A.; Jbilou, Khalide; Najafi-Kalyani, Mehdi; Reichel, Lothar Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications. (English) Zbl 1483.65069 Numer. Algorithms 84, No. 4, 1535-1563 (2020). MSC: 65F99 65F22 15A24 15A69 65F45 PDFBibTeX XMLCite \textit{F. P. A. Beik} et al., Numer. Algorithms 84, No. 4, 1535--1563 (2020; Zbl 1483.65069) Full Text: DOI
Bentbib, A. H.; El-Halouy, S.; Sadek, El M. Krylov subspace projection method for Sylvester tensor equation with low rank right-hand side. (English) Zbl 1450.65039 Numer. Algorithms 84, No. 4, 1411-1430 (2020). Reviewer: Ctirad Matonoha (Praha) MSC: 65F45 15A69 15A24 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., Numer. Algorithms 84, No. 4, 1411--1430 (2020; Zbl 1450.65039) Full Text: DOI
Wang, Xuezhong; Che, Maolin; Wei, Yimin Global uniqueness and solvability of tensor complementarity problems for \(\mathcal{H}_+\)-tensors. (English) Zbl 1448.15035 Numer. Algorithms 84, No. 2, 567-590 (2020). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A69 15A18 15A60 65F10 65K15 90C33 PDFBibTeX XMLCite \textit{X. Wang} et al., Numer. Algorithms 84, No. 2, 567--590 (2020; Zbl 1448.15035) Full Text: DOI
Xu, Yangyang; Zhao, Ruijuan; Zheng, Bing Two non-parameter iterative algorithms for identifying strong \(\mathcal {H}\)-tensors. (English) Zbl 1415.65104 Numer. Algorithms 81, No. 3, 1113-1128 (2019). MSC: 65F30 15A69 15A18 PDFBibTeX XMLCite \textit{Y. Xu} et al., Numer. Algorithms 81, No. 3, 1113--1128 (2019; Zbl 1415.65104) Full Text: DOI
Cao, Mingyuan; Huang, Qingdao; Yang, Yueting A self-adaptive trust region method for extreme \(\mathcal {B}\)-eigenvalues of symmetric tensors. (English) Zbl 1411.15009 Numer. Algorithms 81, No. 2, 407-420 (2019). MSC: 15A18 15A69 90C55 PDFBibTeX XMLCite \textit{M. Cao} et al., Numer. Algorithms 81, No. 2, 407--420 (2019; Zbl 1411.15009) Full Text: DOI
Liang, Maolin; Zheng, Bing; Zhao, Ruijuan Alternating iterative methods for solving tensor equations with applications. (English) Zbl 1448.65052 Numer. Algorithms 80, No. 4, 1437-1465 (2019). MSC: 65H10 15A69 90C30 65F15 PDFBibTeX XMLCite \textit{M. Liang} et al., Numer. Algorithms 80, No. 4, 1437--1465 (2019; Zbl 1448.65052) Full Text: DOI
Sang, Caili A new Brauer-type \(Z\)-eigenvalue inclusion set for tensors. (English) Zbl 1407.15014 Numer. Algorithms 80, No. 3, 781-794 (2019). MSC: 15A18 15A42 15A69 PDFBibTeX XMLCite \textit{C. Sang}, Numer. Algorithms 80, No. 3, 781--794 (2019; Zbl 1407.15014) Full Text: DOI
Guo, Chun-Hua; Lin, Wen-Wei; Liu, Ching-Sung A modified Newton iteration for finding nonnegative \(Z\)-eigenpairs of a nonnegative tensor. (English) Zbl 1408.65016 Numer. Algorithms 80, No. 2, 595-616 (2019). MSC: 65F15 15A69 65F50 PDFBibTeX XMLCite \textit{C.-H. Guo} et al., Numer. Algorithms 80, No. 2, 595--616 (2019; Zbl 1408.65016) Full Text: DOI arXiv
Yang, Wei-wei; Ni, Qin A cubically convergent method for solving the largest eigenvalue of a nonnegative irreducible tensor. (English) Zbl 1402.65030 Numer. Algorithms 77, No. 4, 1183-1197 (2018). MSC: 65F15 15A69 90C25 65K05 PDFBibTeX XMLCite \textit{W.-w. Yang} and \textit{Q. Ni}, Numer. Algorithms 77, No. 4, 1183--1197 (2018; Zbl 1402.65030) Full Text: DOI
Peng, Zhuo-hua; Liu, Jin-wang The generalized bisymmetric solutions of the matrix equation \(A_{1} X_{1} B_{1} + A_{2} X_{2} B_{2} + \dots + A_{l} X_{l} B_{l} = C\) and its optimal approximation. (English) Zbl 1165.65023 Numer. Algorithms 50, No. 2, 127-144 (2009). Reviewer: Jiri Náprstek (Praha) MSC: 65F30 65F10 65F20 15A24 15A30 15A69 PDFBibTeX XMLCite \textit{Z.-h. Peng} and \textit{J.-w. Liu}, Numer. Algorithms 50, No. 2, 127--144 (2009; Zbl 1165.65023) Full Text: DOI