Shitov, Yaroslav More on tensors with different rank and symmetric rank. (English) Zbl 07805909 SIAM J. Matrix Anal. Appl. 45, No. 1, 419-428 (2024). MSC: 15A03 15A69 PDFBibTeX XMLCite \textit{Y. Shitov}, SIAM J. Matrix Anal. Appl. 45, No. 1, 419--428 (2024; Zbl 07805909) Full Text: DOI
Zhou, Anwa; Liu, Kun; Fan, Jinyan Semidefinite relaxation methods for tensor absolute value equations. (English) Zbl 1527.15028 SIAM J. Matrix Anal. Appl. 44, No. 4, 1667-1692 (2023). MSC: 15A69 65K05 65F45 90C22 90C26 PDFBibTeX XMLCite \textit{A. Zhou} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1667--1692 (2023; Zbl 1527.15028) Full Text: DOI
Ma, Anna; Stöger, Dominik; Zhu, Yizhe Robust recovery of low-rank matrices and low-tubal-rank tensors from noisy sketches. (English) Zbl 07765792 SIAM J. Matrix Anal. Appl. 44, No. 4, 1566-1588 (2023). MSC: 65F99 15A69 PDFBibTeX XMLCite \textit{A. Ma} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1566--1588 (2023; Zbl 07765792) Full Text: DOI arXiv
Cao, Shengyu; He, Simai; Li, Zhening; Wang, Zhen Extreme ratio between spectral and Frobenius norms of nonnegative tensors. (English) Zbl 1518.15026 SIAM J. Matrix Anal. Appl. 44, No. 2, 919-944 (2023). MSC: 15A69 15A60 15A45 90C59 PDFBibTeX XMLCite \textit{S. Cao} et al., SIAM J. Matrix Anal. Appl. 44, No. 2, 919--944 (2023; Zbl 1518.15026) Full Text: DOI arXiv
Evert, Eric; De Lathauwer, Lieven On best low rank approximation of positive definite tensors. (English) Zbl 1518.15029 SIAM J. Matrix Anal. Appl. 44, No. 2, 867-893 (2023). MSC: 15A69 15A42 65F55 90C22 PDFBibTeX XMLCite \textit{E. Evert} and \textit{L. De Lathauwer}, SIAM J. Matrix Anal. Appl. 44, No. 2, 867--893 (2023; Zbl 1518.15029) Full Text: DOI
Li, Jianze; Usevich, Konstantin; Comon, Pierre Convergence of gradient-based block coordinate descent algorithms for nonorthogonal joint approximate diagonalization of matrices. (English) Zbl 07690553 SIAM J. Matrix Anal. Appl. 44, No. 2, 592-621 (2023). MSC: 65Fxx 15A20 49M30 90C30 PDFBibTeX XMLCite \textit{J. Li} et al., SIAM J. Matrix Anal. Appl. 44, No. 2, 592--621 (2023; Zbl 07690553) Full Text: DOI arXiv
Beaupère, Matthias; Frenkiel, David; Grigori, Laura Higher-order QR with tournament pivoting for tensor compression. (English) Zbl 1517.65030 SIAM J. Matrix Anal. Appl. 44, No. 1, 106-127 (2023). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{M. Beaupère} et al., SIAM J. Matrix Anal. Appl. 44, No. 1, 106--127 (2023; Zbl 1517.65030) Full Text: DOI
Bamberger, Stefan; Krahmer, Felix; Ward, Rachel Johnson-Lindenstrauss embeddings with Kronecker structure. (English) Zbl 1510.15040 SIAM J. Matrix Anal. Appl. 43, No. 4, 1806-1850 (2022). MSC: 15A69 15B52 60B20 68Q87 65F55 PDFBibTeX XMLCite \textit{S. Bamberger} et al., SIAM J. Matrix Anal. Appl. 43, No. 4, 1806--1850 (2022; Zbl 1510.15040) Full Text: DOI arXiv
Muller, Tommi; Robeva, Elina; Usevich, Konstantin Robust eigenvectors of symmetric tensors. (English) Zbl 1511.15021 SIAM J. Matrix Anal. Appl. 43, No. 4, 1784-1805 (2022). MSC: 15A69 15A18 42C15 65F15 PDFBibTeX XMLCite \textit{T. Muller} et al., SIAM J. Matrix Anal. Appl. 43, No. 4, 1784--1805 (2022; Zbl 1511.15021) Full Text: DOI arXiv
Kilmer, Misha E.; Saibaba, Arvind K. Structured matrix approximations via tensor decompositions. (English) Zbl 1508.65042 SIAM J. Matrix Anal. Appl. 43, No. 4, 1599-1626 (2022). MSC: 65F55 65F50 15A69 PDFBibTeX XMLCite \textit{M. E. Kilmer} and \textit{A. K. Saibaba}, SIAM J. Matrix Anal. Appl. 43, No. 4, 1599--1626 (2022; Zbl 1508.65042) Full Text: DOI arXiv
Larsen, Brett W.; Kolda, Tamara G. Practical leverage-based sampling for low-rank tensor decomposition. (English) Zbl 1508.65046 SIAM J. Matrix Anal. Appl. 43, No. 3, 1488-1517 (2022). MSC: 65F99 65F55 15A69 PDFBibTeX XMLCite \textit{B. W. Larsen} and \textit{T. G. Kolda}, SIAM J. Matrix Anal. Appl. 43, No. 3, 1488--1517 (2022; Zbl 1508.65046) Full Text: DOI arXiv
Camps, Daan; Kökcü, Efekan; Bassman, Lindsay; de Jong, Wibe A.; Kemper, Alexander F.; van Beeumen, Roel An algebraic quantum circuit compression algorithm for Hamiltonian simulation. (English) Zbl 1492.81037 SIAM J. Matrix Anal. Appl. 43, No. 3, 1084-1108 (2022). MSC: 81P68 81P65 15A23 15A69 65Z05 68Q12 81R12 PDFBibTeX XMLCite \textit{D. Camps} et al., SIAM J. Matrix Anal. Appl. 43, No. 3, 1084--1108 (2022; Zbl 1492.81037) Full Text: DOI arXiv
Govindarajan, Nithin; Epperly, Ethan N.; De Lathauwer, Lieven \((L_r,L_r,1)\)-decompositions, sparse component analysis, and the blind separation of sums of exponentials. (English) Zbl 1493.15077 SIAM J. Matrix Anal. Appl. 43, No. 2, 912-938 (2022). MSC: 15A69 15A23 65F99 PDFBibTeX XMLCite \textit{N. Govindarajan} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 912--938 (2022; Zbl 1493.15077) Full Text: DOI
Song, Xiaoyu; Zheng, Baodong; Huang, Riguang Maximal rank of \(m\times n\times 2\) tensors over arbitrary fields. (English) Zbl 1493.15079 SIAM J. Matrix Anal. Appl. 43, No. 2, 867-881 (2022). MSC: 15A69 15A03 PDFBibTeX XMLCite \textit{X. Song} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 867--881 (2022; Zbl 1493.15079) Full Text: DOI
Dong, Shuyu; Gao, Bin; Guan, Yu; Glineur, François New Riemannian preconditioned algorithms for tensor completion via polyadic decomposition. (English) Zbl 1492.65107 SIAM J. Matrix Anal. Appl. 43, No. 2, 840-866 (2022). MSC: 65F55 15A69 15A83 65K05 90C26 90C30 90C52 PDFBibTeX XMLCite \textit{S. Dong} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 840--866 (2022; Zbl 1492.65107) Full Text: DOI arXiv
Evert, Eric; De Lathauwer, Lieven Guarantees for existence of a best canonical polyadic approximation of a noisy low-rank tensor. (English) Zbl 1484.15029 SIAM J. Matrix Anal. Appl. 43, No. 1, 328-369 (2022). MSC: 15A69 15A18 15A42 PDFBibTeX XMLCite \textit{E. Evert} and \textit{L. De Lathauwer}, SIAM J. Matrix Anal. Appl. 43, No. 1, 328--369 (2022; Zbl 1484.15029) Full Text: DOI arXiv
Evert, Eric; Vandecappelle, Michiel; De Lathauwer, Lieven A recursive eigenspace computation for the canonical polyadic decomposition. (English) Zbl 1484.15030 SIAM J. Matrix Anal. Appl. 43, No. 1, 274-300 (2022). MSC: 15A69 15A22 15A42 PDFBibTeX XMLCite \textit{E. Evert} et al., SIAM J. Matrix Anal. Appl. 43, No. 1, 274--300 (2022; Zbl 1484.15030) Full Text: DOI arXiv
Vanderstukken, Jeroen; Kürschner, Patrick; Domanov, Ignat; De Lathauwer, Lieven Systems of polynomial equations, higher-order tensor decompositions, and multidimensional harmonic retrieval: a unifying framework. Part II: The block term decomposition. (English) Zbl 1472.13047 SIAM J. Matrix Anal. Appl. 42, No. 2, 913-953 (2021). MSC: 13P15 15A69 54B05 65H04 PDFBibTeX XMLCite \textit{J. Vanderstukken} et al., SIAM J. Matrix Anal. Appl. 42, No. 2, 913--953 (2021; Zbl 1472.13047) Full Text: DOI
Vanderstukken, Jeroen; De Lathauwer, Lieven Systems of polynomial equations, higher-order tensor decompositions, and multidimensional harmonic retrieval: a unifying framework. Part I: the canonical polyadic decomposition. (English) Zbl 1471.13061 SIAM J. Matrix Anal. Appl. 42, No. 2, 883-912 (2021). MSC: 13P15 15A69 65H04 PDFBibTeX XMLCite \textit{J. Vanderstukken} and \textit{L. De Lathauwer}, SIAM J. Matrix Anal. Appl. 42, No. 2, 883--912 (2021; Zbl 1471.13061) Full Text: DOI
Ringh, Emil; Jarlebring, Elias Nonlinearizing two-parameter eigenvalue problems. (English) Zbl 07365300 SIAM J. Matrix Anal. Appl. 42, No. 2, 775-799 (2021). MSC: 65F15 15A18 47J10 65H17 15A22 15A69 PDFBibTeX XMLCite \textit{E. Ringh} and \textit{E. Jarlebring}, SIAM J. Matrix Anal. Appl. 42, No. 2, 775--799 (2021; Zbl 07365300) Full Text: DOI arXiv
Christandl, M.; Gesmundo, F.; Michałek, M.; Zuiddam, J. Border rank nonadditivity for higher order tensors. (English) Zbl 1464.14055 SIAM J. Matrix Anal. Appl. 42, No. 2, 503-527 (2021). Reviewer: Luca Chiantini (Siena) MSC: 14N07 15A69 PDFBibTeX XMLCite \textit{M. Christandl} et al., SIAM J. Matrix Anal. Appl. 42, No. 2, 503--527 (2021; Zbl 1464.14055) Full Text: DOI arXiv
Domanov, Ignat; De Lathauwer, Lieven From computation to comparison of tensor decompositions. (English) Zbl 1480.15031 SIAM J. Matrix Anal. Appl. 42, No. 2, 449-474 (2021). Reviewer: Luca Chiantini (Siena) MSC: 15A69 PDFBibTeX XMLCite \textit{I. Domanov} and \textit{L. De Lathauwer}, SIAM J. Matrix Anal. Appl. 42, No. 2, 449--474 (2021; Zbl 1480.15031) Full Text: DOI arXiv
Qi, Liqun; Chen, Yannan; Bakshi, Mayank; Zhang, Xinzhen Triple decomposition and tensor recovery of third order tensors. (English) Zbl 1467.15020 SIAM J. Matrix Anal. Appl. 42, No. 1, 299-329 (2021). MSC: 15A69 65F55 15A23 PDFBibTeX XMLCite \textit{L. Qi} et al., SIAM J. Matrix Anal. Appl. 42, No. 1, 299--329 (2021; Zbl 1467.15020) Full Text: DOI arXiv
Shi, Tianyi; Townsend, Alex On the compressibility of tensors. (English) Zbl 07331674 SIAM J. Matrix Anal. Appl. 42, No. 1, 275-298 (2021). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{T. Shi} and \textit{A. Townsend}, SIAM J. Matrix Anal. Appl. 42, No. 1, 275--298 (2021; Zbl 07331674) Full Text: DOI arXiv
Sherman, Samantha; Kolda, Tamara G. Estimating higher-order moments using symmetric tensor decomposition. (English) Zbl 1467.15022 SIAM J. Matrix Anal. Appl. 41, No. 3, 1369-1387 (2020). MSC: 15A69 65F55 68T05 PDFBibTeX XMLCite \textit{S. Sherman} and \textit{T. G. Kolda}, SIAM J. Matrix Anal. Appl. 41, No. 3, 1369--1387 (2020; Zbl 1467.15022) Full Text: DOI arXiv
Yang, Yuning The epsilon-alternating least squares for orthogonal low-rank tensor approximation and its global convergence. (English) Zbl 1458.90528 SIAM J. Matrix Anal. Appl. 41, No. 4, 1797-1825 (2020). MSC: 90C26 15A18 15A69 41A50 PDFBibTeX XMLCite \textit{Y. Yang}, SIAM J. Matrix Anal. Appl. 41, No. 4, 1797--1825 (2020; Zbl 1458.90528) Full Text: DOI arXiv
Chen, Ziang; Li, Yingzhou; Lu, Jianfeng Tensor ring decomposition: optimization landscape and one-loop convergence of alternating least squares. (English) Zbl 1458.65050 SIAM J. Matrix Anal. Appl. 41, No. 3, 1416-1442 (2020). MSC: 65F99 15A69 PDFBibTeX XMLCite \textit{Z. Chen} et al., SIAM J. Matrix Anal. Appl. 41, No. 3, 1416--1442 (2020; Zbl 1458.65050) Full Text: DOI arXiv
Nie, Jiawang; Yang, Zi Hermitian tensor decompositions. (English) Zbl 1465.15030 SIAM J. Matrix Anal. Appl. 41, No. 3, 1115-1144 (2020). Reviewer: Luca Chiantini (Siena) MSC: 15A69 15B48 81P16 PDFBibTeX XMLCite \textit{J. Nie} and \textit{Z. Yang}, SIAM J. Matrix Anal. Appl. 41, No. 3, 1115--1144 (2020; Zbl 1465.15030) Full Text: DOI arXiv
Mickelin, Oscar; Karaman, Sertac Multiresolution low-rank tensor formats. (English) Zbl 1458.65046 SIAM J. Matrix Anal. Appl. 41, No. 3, 1086-1114 (2020). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{O. Mickelin} and \textit{S. Karaman}, SIAM J. Matrix Anal. Appl. 41, No. 3, 1086--1114 (2020; Zbl 1458.65046) Full Text: DOI arXiv
Domanov, Ignat; De Lathauwer, Lieven On uniqueness and computation of the decomposition of a tensor into multilinear rank-\((1,L_r,L_r)\) terms. (English) Zbl 1442.15042 SIAM J. Matrix Anal. Appl. 41, No. 2, 747-803 (2020). MSC: 15A69 15A23 15A18 PDFBibTeX XMLCite \textit{I. Domanov} and \textit{L. De Lathauwer}, SIAM J. Matrix Anal. Appl. 41, No. 2, 747--803 (2020; Zbl 1442.15042) Full Text: DOI arXiv
Che, Maolin; Wei, Yimin; Yan, Hong The computation of low multilinear rank approximations of tensors via power scheme and random projection. (English) Zbl 07206106 SIAM J. Matrix Anal. Appl. 41, No. 2, 605-636 (2020). MSC: 65D15 15A18 15A69 65F15 65F10 65D40 68W20 PDFBibTeX XMLCite \textit{M. Che} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 605--636 (2020; Zbl 07206106) Full Text: DOI
Bertolini, Marina; Besana, Gianmario; Bini, Gilberto; Turrini, Cristina The rank of trifocal Grassmann tensors. (English) Zbl 1505.15022 SIAM J. Matrix Anal. Appl. 41, No. 2, 591-604 (2020). MSC: 15A69 14N07 14Q65 65H14 65D19 15A04 15A21 14N05 PDFBibTeX XMLCite \textit{M. Bertolini} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 591--604 (2020; Zbl 1505.15022) Full Text: DOI arXiv
Agrachev, Andrei; Kozhasov, Khazhgali; Uschmajew, André Chebyshev polynomials and best rank-one approximation ratio. (English) Zbl 1435.15019 SIAM J. Matrix Anal. Appl. 41, No. 1, 308-331 (2020). MSC: 15A69 15A60 14P25 26C05 PDFBibTeX XMLCite \textit{A. Agrachev} et al., SIAM J. Matrix Anal. Appl. 41, No. 1, 308--331 (2020; Zbl 1435.15019) Full Text: DOI arXiv
Buczyński, Jarosław; Postinghel, Elisa; Rupniewski, Filip On Strassen’s rank additivity for small three-way tensors. (English) Zbl 1429.15021 SIAM J. Matrix Anal. Appl. 41, No. 1, 106-133 (2020). MSC: 15A69 14M17 68W30 15A03 PDFBibTeX XMLCite \textit{J. Buczyński} et al., SIAM J. Matrix Anal. Appl. 41, No. 1, 106--133 (2020; Zbl 1429.15021) Full Text: DOI arXiv
Hu, Shenglong; Sun, Defeng; Toh, Kim-Chuan Best nonnegative rank-one approximations of tensors. (English) Zbl 1454.90047 SIAM J. Matrix Anal. Appl. 40, No. 4, 1527-1554 (2019). MSC: 90C23 15A18 15A42 15A69 90C22 PDFBibTeX XMLCite \textit{S. Hu} et al., SIAM J. Matrix Anal. Appl. 40, No. 4, 1527--1554 (2019; Zbl 1454.90047) Full Text: DOI arXiv
Gesmundo, Fulvio; Oneto, Alessandro; Ventura, Emanuele Partially symmetric variants of Comon’s problem via simultaneous rank. (English) Zbl 1428.15024 SIAM J. Matrix Anal. Appl. 40, No. 4, 1453-1477 (2019). MSC: 15A69 13P05 13A02 14N05 PDFBibTeX XMLCite \textit{F. Gesmundo} et al., SIAM J. Matrix Anal. Appl. 40, No. 4, 1453--1477 (2019; Zbl 1428.15024) Full Text: DOI arXiv
Benson, Austin R.; Gleich, David F. Computing tensor \(Z\)-eigenvectors with dynamical systems. (English) Zbl 1431.15007 SIAM J. Matrix Anal. Appl. 40, No. 4, 1311-1324 (2019). Reviewer: George Stoica (Saint John) MSC: 15A18 15A69 65F15 37M15 PDFBibTeX XMLCite \textit{A. R. Benson} and \textit{D. F. Gleich}, SIAM J. Matrix Anal. Appl. 40, No. 4, 1311--1324 (2019; Zbl 1431.15007) Full Text: DOI arXiv
Krämer, Sebastian A geometric description of feasible singular values in the tensor train format. (English) Zbl 1461.15029 SIAM J. Matrix Anal. Appl. 40, No. 3, 1153-1178 (2019). MSC: 15A69 15A18 81P45 PDFBibTeX XMLCite \textit{S. Krämer}, SIAM J. Matrix Anal. Appl. 40, No. 3, 1153--1178 (2019; Zbl 1461.15029) Full Text: DOI arXiv
Michałek, Mateusz; Seynnaeve, Tim; Verstraete, Frank A tensor version of the quantum Wielandt theorem. (English) Zbl 1426.15025 SIAM J. Matrix Anal. Appl. 40, No. 3, 1125-1130 (2019). Reviewer: George Stoica (Saint John) MSC: 15A42 15A18 15A69 82B20 PDFBibTeX XMLCite \textit{M. Michałek} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 1125--1130 (2019; Zbl 1426.15025) Full Text: DOI arXiv
Guan, Yu; Chu, Delin Numerical computation for orthogonal low-rank approximation of tensors. (English) Zbl 1435.65064 SIAM J. Matrix Anal. Appl. 40, No. 3, 1047-1065 (2019). MSC: 65F25 65F20 65F55 15A69 65J10 68W25 PDFBibTeX XMLCite \textit{Y. Guan} and \textit{D. Chu}, SIAM J. Matrix Anal. Appl. 40, No. 3, 1047--1065 (2019; Zbl 1435.65064) Full Text: DOI
Sørensen, Mikael; De Lathauwer, Lieven Fiber sampling approach to canonical polyadic decomposition and application to tensor completion. (English) Zbl 1458.15045 SIAM J. Matrix Anal. Appl. 40, No. 3, 888-917 (2019). Reviewer: Luca Chiantini (Siena) MSC: 15A69 15A83 65K10 PDFBibTeX XMLCite \textit{M. Sørensen} and \textit{L. De Lathauwer}, SIAM J. Matrix Anal. Appl. 40, No. 3, 888--917 (2019; Zbl 1458.15045) Full Text: DOI
Beltrán, Carlos; Breiding, Paul; Vannieuwenhoven, Nick Pencil-based algorithms for tensor rank decomposition are not stable. (English) Zbl 1451.14170 SIAM J. Matrix Anal. Appl. 40, No. 2, 739-773 (2019). Reviewer: Luca Chiantini (Siena) MSC: 14Q65 15A69 65F35 49Q12 PDFBibTeX XMLCite \textit{C. Beltrán} et al., SIAM J. Matrix Anal. Appl. 40, No. 2, 739--773 (2019; Zbl 1451.14170) Full Text: DOI arXiv
Nie, Jiawang; Ye, Ke Hankel tensor decompositions and ranks. (English) Zbl 1411.15018 SIAM J. Matrix Anal. Appl. 40, No. 2, 486-516 (2019). MSC: 15A69 15A18 15A03 PDFBibTeX XMLCite \textit{J. Nie} and \textit{K. Ye}, SIAM J. Matrix Anal. Appl. 40, No. 2, 486--516 (2019; Zbl 1411.15018) Full Text: DOI arXiv
Azimzadeh, Parsiad; Bayraktar, Erhan High order Bellman equations and weakly chained diagonally dominant tensors. (English) Zbl 1455.65100 SIAM J. Matrix Anal. Appl. 40, No. 1, 276-298 (2019). MSC: 65N22 65N06 15A69 49M25 PDFBibTeX XMLCite \textit{P. Azimzadeh} and \textit{E. Bayraktar}, SIAM J. Matrix Anal. Appl. 40, No. 1, 276--298 (2019; Zbl 1455.65100) Full Text: DOI arXiv
Ghosh, Arnab; Alam, Rafikul Sensitivity and backward perturbation analysis of multiparameter eigenvalue problems. (English) Zbl 1404.65021 SIAM J. Matrix Anal. Appl. 39, No. 4, 1750-1775 (2018). MSC: 65F15 15A69 15A18 65F35 15A60 PDFBibTeX XMLCite \textit{A. Ghosh} and \textit{R. Alam}, SIAM J. Matrix Anal. Appl. 39, No. 4, 1750--1775 (2018; Zbl 1404.65021) Full Text: DOI
Benedusi, Pietro; Garoni, Carlo; Krause, Rolf; Li, Xiaozhou; Serra-Capizzano, Stefano Space-time FE-DG discretization of the anisotropic diffusion equation in any dimension: the spectral symbol. (English) Zbl 1507.65176 SIAM J. Matrix Anal. Appl. 39, No. 3, 1383-1420 (2018). MSC: 65M60 65N30 65D07 15A18 15A69 15B05 41A15 80A19 35Q79 PDFBibTeX XMLCite \textit{P. Benedusi} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1383--1420 (2018; Zbl 1507.65176) Full Text: DOI
Batselier, Kim; Yu, Wenjian; Daniel, Luca; Wong, Ngai Computing low-rank approximations of large-scale matrices with the tensor network randomized SVD. (English) Zbl 1416.65109 SIAM J. Matrix Anal. Appl. 39, No. 3, 1221-1244 (2018). MSC: 65F30 15A69 15A23 PDFBibTeX XMLCite \textit{K. Batselier} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1221--1244 (2018; Zbl 1416.65109) Full Text: DOI arXiv
Guan, Yu; Chu, Moody T.; Chu, Delin SVD-based algorithms for the best rank-1 approximation of a symmetric tensor. (English) Zbl 1451.65055 SIAM J. Matrix Anal. Appl. 39, No. 3, 1095-1115 (2018). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{Y. Guan} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1095--1115 (2018; Zbl 1451.65055) Full Text: DOI
Jaffe, Ariel; Weiss, Roi; Nadler, Boaz Newton correction methods for computing real eigenpairs of symmetric tensors. (English) Zbl 1415.65087 SIAM J. Matrix Anal. Appl. 39, No. 3, 1071-1094 (2018). MSC: 65F15 15A69 15A72 15A18 PDFBibTeX XMLCite \textit{A. Jaffe} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1071--1094 (2018; Zbl 1415.65087) Full Text: DOI arXiv
Benner, Peter; Goyal, Pawan; Gugercin, Serkan \(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. (English) Zbl 1418.93048 SIAM J. Matrix Anal. Appl. 39, No. 2, 983-1032 (2018). MSC: 93B11 93A15 93C10 49L99 35Q93 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Matrix Anal. Appl. 39, No. 2, 983--1032 (2018; Zbl 1418.93048) Full Text: DOI arXiv
Battaglino, Casey; Ballard, Grey; Kolda, Tamara G. A practical randomized CP tensor decomposition. (English) Zbl 1444.65016 SIAM J. Matrix Anal. Appl. 39, No. 2, 876-901 (2018). Reviewer: Gunther Schmidt (München) MSC: 65F99 15A69 68W20 PDFBibTeX XMLCite \textit{C. Battaglino} et al., SIAM J. Matrix Anal. Appl. 39, No. 2, 876--901 (2018; Zbl 1444.65016) Full Text: DOI arXiv
Li, Zhening; Nakatsukasa, Yuji; Soma, Tasuku; Uschmajew, André On orthogonal tensors and best rank-one approximation ratio. (English) Zbl 1390.15081 SIAM J. Matrix Anal. Appl. 39, No. 1, 400-425 (2018). MSC: 15A69 15A60 17A75 PDFBibTeX XMLCite \textit{Z. Li} et al., SIAM J. Matrix Anal. Appl. 39, No. 1, 400--425 (2018; Zbl 1390.15081) Full Text: DOI arXiv
Breiding, Paul; Vannieuwenhoven, Nick The condition number of join decompositions. (English) Zbl 1384.49035 SIAM J. Matrix Anal. Appl. 39, No. 1, 287-309 (2018). MSC: 49Q12 65F35 53B20 53B21 14P10 65Y20 15A69 PDFBibTeX XMLCite \textit{P. Breiding} and \textit{N. Vannieuwenhoven}, SIAM J. Matrix Anal. Appl. 39, No. 1, 287--309 (2018; Zbl 1384.49035) Full Text: DOI arXiv
Li, Jianze; Usevich, Konstantin; Comon, Pierre Globally convergent Jacobi-type algorithms for simultaneous orthogonal symmetric tensor diagonalization. (English) Zbl 1378.15016 SIAM J. Matrix Anal. Appl. 39, No. 1, 1-22 (2018). MSC: 15A69 49M30 65F99 90C30 PDFBibTeX XMLCite \textit{J. Li} et al., SIAM J. Matrix Anal. Appl. 39, No. 1, 1--22 (2018; Zbl 1378.15016) Full Text: DOI arXiv
Hagedorn, George A.; Lasser, Caroline Symmetric Kronecker products and semiclassical wave packets. (English) Zbl 1379.15017 SIAM J. Matrix Anal. Appl. 38, No. 4, 1560-1579 (2017). MSC: 15A69 PDFBibTeX XMLCite \textit{G. A. Hagedorn} and \textit{C. Lasser}, SIAM J. Matrix Anal. Appl. 38, No. 4, 1560--1579 (2017; Zbl 1379.15017) Full Text: DOI arXiv
Nie, Jiawang Low rank symmetric tensor approximations. (English) Zbl 1379.65025 SIAM J. Matrix Anal. Appl. 38, No. 4, 1517-1540 (2017). MSC: 65F30 15A69 15A03 65F20 PDFBibTeX XMLCite \textit{J. Nie}, SIAM J. Matrix Anal. Appl. 38, No. 4, 1517--1540 (2017; Zbl 1379.65025) Full Text: DOI arXiv
Domanov, Ignat; Stegeman, Alwin; Lathauwer, Lieven De On the largest multilinear singular values of higher-order tensors. (English) Zbl 1379.15007 SIAM J. Matrix Anal. Appl. 38, No. 4, 1434-1453 (2017). MSC: 15A18 15A69 65F20 15A29 15B57 PDFBibTeX XMLCite \textit{I. Domanov} et al., SIAM J. Matrix Anal. Appl. 38, No. 4, 1434--1453 (2017; Zbl 1379.15007) Full Text: DOI arXiv
Mu, Cun; Hsu, Daniel; Goldfarb, Donald Greedy approaches to symmetric orthogonal tensor decomposition. (English) Zbl 1386.15051 SIAM J. Matrix Anal. Appl. 38, No. 4, 1210-1226 (2017). MSC: 15A69 15A18 49M27 65F99 PDFBibTeX XMLCite \textit{C. Mu} et al., SIAM J. Matrix Anal. Appl. 38, No. 4, 1210--1226 (2017; Zbl 1386.15051) Full Text: DOI arXiv
Diaz, Steven P.; Lutoborski, Adam Discrete Fourier transform tensors and their ranks. (English) Zbl 1378.15015 SIAM J. Matrix Anal. Appl. 38, No. 3, 1010-1027 (2017). MSC: 15A69 65T50 15A03 PDFBibTeX XMLCite \textit{S. P. Diaz} and \textit{A. Lutoborski}, SIAM J. Matrix Anal. Appl. 38, No. 3, 1010--1027 (2017; Zbl 1378.15015) Full Text: DOI
Kovač, Erna Begović; Kressner, Daniel Structure-preserving low multilinear rank approximation of antisymmetric tensors. (English) Zbl 1373.65028 SIAM J. Matrix Anal. Appl. 38, No. 3, 967-983 (2017). MSC: 65F20 15A69 PDFBibTeX XMLCite \textit{E. B. Kovač} and \textit{D. Kressner}, SIAM J. Matrix Anal. Appl. 38, No. 3, 967--983 (2017; Zbl 1373.65028) Full Text: DOI arXiv
Chen, Pengwen; Fannjiang, Albert; Liu, Gi-Ren Phase retrieval by linear algebra. (English) Zbl 1375.49035 SIAM J. Matrix Anal. Appl. 38, No. 3, 854-868 (2017). MSC: 49K35 05C70 90C08 49M30 PDFBibTeX XMLCite \textit{P. Chen} et al., SIAM J. Matrix Anal. Appl. 38, No. 3, 854--868 (2017; Zbl 1375.49035) Full Text: DOI arXiv
Chiantini, Luca; Ottaviani, Giorgio; Vannieuwenhoven, Nick Effective criteria for specific identifiability of tensors and forms. (English) Zbl 1371.65038 SIAM J. Matrix Anal. Appl. 38, No. 2, 656-681 (2017). MSC: 65F99 15A69 14Q15 14N07 PDFBibTeX XMLCite \textit{L. Chiantini} et al., SIAM J. Matrix Anal. Appl. 38, No. 2, 656--681 (2017; Zbl 1371.65038) Full Text: DOI arXiv
Ainsleigh, Phillip A method for computing moments of quadratic forms involving wrapped random variables. (English) Zbl 1367.65062 SIAM J. Matrix Anal. Appl. 38, No. 2, 554-573 (2017). MSC: 65F30 65C05 15A63 15A69 PDFBibTeX XMLCite \textit{P. Ainsleigh}, SIAM J. Matrix Anal. Appl. 38, No. 2, 554--573 (2017; Zbl 1367.65062) Full Text: DOI
Dutta, Aritra; Li, Xin On a problem of weighted low-rank approximation of matrices. (English) Zbl 1365.65110 SIAM J. Matrix Anal. Appl. 38, No. 2, 530-553 (2017). MSC: 65F30 65K05 49M15 49M30 PDFBibTeX XMLCite \textit{A. Dutta} and \textit{X. Li}, SIAM J. Matrix Anal. Appl. 38, No. 2, 530--553 (2017; Zbl 1365.65110) Full Text: DOI arXiv
Fenu, Caterina; Higham, Desmond J. Block matrix formulations for evolving networks. (English) Zbl 1362.05120 SIAM J. Matrix Anal. Appl. 38, No. 2, 343-360 (2017). MSC: 05C82 05C50 15A69 PDFBibTeX XMLCite \textit{C. Fenu} and \textit{D. J. Higham}, SIAM J. Matrix Anal. Appl. 38, No. 2, 343--360 (2017; Zbl 1362.05120) Full Text: DOI arXiv
Cai, Yunfeng; Liu, Chengyu An algebraic approach to nonorthogonal general joint block diagonalization. (English) Zbl 1354.15008 SIAM J. Matrix Anal. Appl. 38, No. 1, 50-71 (2017). MSC: 15A21 15A69 65F30 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{C. Liu}, SIAM J. Matrix Anal. Appl. 38, No. 1, 50--71 (2017; Zbl 1354.15008) Full Text: DOI arXiv
Hu, Shenglong; Qi, Liqun A necessary and sufficient condition for existence of a positive Perron vector. (English) Zbl 1355.15019 SIAM J. Matrix Anal. Appl. 37, No. 4, 1747-1770 (2016). MSC: 15A69 15A18 PDFBibTeX XMLCite \textit{S. Hu} and \textit{L. Qi}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1747--1770 (2016; Zbl 1355.15019) Full Text: DOI arXiv
Luo, Ziyan; Qi, Liqun Completely positive tensors: properties, easily checkable subclasses, and tractable relaxations. (English) Zbl 1349.15026 SIAM J. Matrix Anal. Appl. 37, No. 4, 1675-1698 (2016). MSC: 15A18 15A69 15B48 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{L. Qi}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1675--1698 (2016; Zbl 1349.15026) Full Text: DOI
Qi, Yang; Comon, Pierre; Lim, Lek-Heng Semialgebraic geometry of nonnegative tensor rank. (English) Zbl 1349.14183 SIAM J. Matrix Anal. Appl. 37, No. 4, 1556-1580 (2016). MSC: 14P10 15A69 41A50 41A52 PDFBibTeX XMLCite \textit{Y. Qi} et al., SIAM J. Matrix Anal. Appl. 37, No. 4, 1556--1580 (2016; Zbl 1349.14183) Full Text: DOI arXiv
Li, Zhening Bounds on the spectral norm and the nuclear norm of a tensor based on tensor partitions. (English) Zbl 1348.15018 SIAM J. Matrix Anal. Appl. 37, No. 4, 1440-1452 (2016). MSC: 15A60 15A69 90C59 68Q17 PDFBibTeX XMLCite \textit{Z. Li}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1440--1452 (2016; Zbl 1348.15018) Full Text: DOI
Saibaba, Arvind K. HOID: higher order interpolatory decomposition for tensors based on Tucker representation. (English) Zbl 1347.65079 SIAM J. Matrix Anal. Appl. 37, No. 3, 1223-1249 (2016). MSC: 65F30 15A23 15A69 PDFBibTeX XMLCite \textit{A. K. Saibaba}, SIAM J. Matrix Anal. Appl. 37, No. 3, 1223--1249 (2016; Zbl 1347.65079) Full Text: DOI arXiv
Etter, Simon; Dolgov, Sergey; Khoromskij, Boris N. Erratum to: “Two-level QTT-Tucker format for optimized tensor calculus”. (English) Zbl 1467.65103 SIAM J. Matrix Anal. Appl. 37, No. 2, 818-822 (2016). MSC: 65N22 65F50 15A69 33F05 65F10 65F99 65N35 PDFBibTeX XMLCite \textit{S. Etter} et al., SIAM J. Matrix Anal. Appl. 37, No. 2, 818--822 (2016; Zbl 1467.65103) Full Text: DOI
Massoudi, Arash; Opmeer, Mark R.; Reis, Timo Analysis of an iteration method for the algebraic Riccati equation. (English) Zbl 1339.15010 SIAM J. Matrix Anal. Appl. 37, No. 2, 624-648 (2016). MSC: 15A24 49N10 47J20 65F30 49M30 93B52 65K10 PDFBibTeX XMLCite \textit{A. Massoudi} et al., SIAM J. Matrix Anal. Appl. 37, No. 2, 624--648 (2016; Zbl 1339.15010) Full Text: DOI Link
Jiang, Bo; Li, Zhening; Zhang, Shuzhong Characterizing real-valued multivariate complex polynomials and their symmetric tensor representations. (English) Zbl 1376.15018 SIAM J. Matrix Anal. Appl. 37, No. 1, 381-408 (2016). MSC: 15A69 15A18 15B57 47H10 PDFBibTeX XMLCite \textit{B. Jiang} et al., SIAM J. Matrix Anal. Appl. 37, No. 1, 381--408 (2016; Zbl 1376.15018) Full Text: DOI arXiv
Friedland, Shmuel Remarks on the symmetric rank of symmetric tensors. (English) Zbl 1382.15040 SIAM J. Matrix Anal. Appl. 37, No. 1, 320-337 (2016). MSC: 15A69 14M15 14P10 41A52 41A65 46B28 PDFBibTeX XMLCite \textit{S. Friedland}, SIAM J. Matrix Anal. Appl. 37, No. 1, 320--337 (2016; Zbl 1382.15040) Full Text: DOI arXiv
Chen, Liping; Han, Lixing; Zhou, Liangmin Computing tensor eigenvalues via homotopy methods. (English) Zbl 1376.15017 SIAM J. Matrix Anal. Appl. 37, No. 1, 290-319 (2016). MSC: 15A69 15A18 65H10 65F15 65H20 65H17 PDFBibTeX XMLCite \textit{L. Chen} et al., SIAM J. Matrix Anal. Appl. 37, No. 1, 290--319 (2016; Zbl 1376.15017) Full Text: DOI arXiv
Mu, Cun; Hsu, Daniel; Goldfarb, Donald Successive rank-one approximations for nearly orthogonally decomposable symmetric tensors. (English) Zbl 1330.15030 SIAM J. Matrix Anal. Appl. 36, No. 4, 1638-1659 (2015). MSC: 15A69 15A18 62H25 94A12 62H30 68T05 PDFBibTeX XMLCite \textit{C. Mu} et al., SIAM J. Matrix Anal. Appl. 36, No. 4, 1638--1659 (2015; Zbl 1330.15030) Full Text: DOI arXiv
Domanov, Ignat; De Lathauwer, Lieven Generic uniqueness conditions for the canonical polyadic decomposition and INDSCAL. (English) Zbl 1330.15028 SIAM J. Matrix Anal. Appl. 36, No. 4, 1567-1589 (2015). MSC: 15A69 14A10 14A25 15A23 14Q15 PDFBibTeX XMLCite \textit{I. Domanov} and \textit{L. De Lathauwer}, SIAM J. Matrix Anal. Appl. 36, No. 4, 1567--1589 (2015; Zbl 1330.15028) Full Text: DOI arXiv Link
Gleich, David F.; Lim, Lek-Heng; Yu, Yongyang Multilinear PageRank. (English) Zbl 1330.15029 SIAM J. Matrix Anal. Appl. 36, No. 4, 1507-1541 (2015). MSC: 15A69 05C81 05C82 05C65 15B51 60J20 65H10 90C35 PDFBibTeX XMLCite \textit{D. F. Gleich} et al., SIAM J. Matrix Anal. Appl. 36, No. 4, 1507--1541 (2015; Zbl 1330.15029) Full Text: DOI arXiv
Wang, Liqi; Chu, Moody T.; Yu, Bo Orthogonal low rank tensor approximation: alternating least squares method and its global convergence. (English) Zbl 1330.15031 SIAM J. Matrix Anal. Appl. 36, No. 1, 1-19 (2015). MSC: 15A69 65F99 65J10 15A29 PDFBibTeX XMLCite \textit{L. Wang} et al., SIAM J. Matrix Anal. Appl. 36, No. 1, 1--19 (2015; Zbl 1330.15031) Full Text: DOI Link
Sørensen, Mikael; de Lathauwer, Lieven New uniqueness conditions for the canonical polyadic decomposition of third-order tensors. (English) Zbl 1327.15026 SIAM J. Matrix Anal. Appl. 36, No. 4, 1381-1403 (2015). MSC: 15A22 15A23 15A69 PDFBibTeX XMLCite \textit{M. Sørensen} and \textit{L. de Lathauwer}, SIAM J. Matrix Anal. Appl. 36, No. 4, 1381--1403 (2015; Zbl 1327.15026) Full Text: DOI Link
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
Kazeev, Vladimir; Schwab, Christoph Tensor approximation of stationary distributions of chemical reaction networks. (English) Zbl 1322.60155 SIAM J. Matrix Anal. Appl. 36, No. 3, 1221-1247 (2015). MSC: 60J28 15A69 60J27 92C42 PDFBibTeX XMLCite \textit{V. Kazeev} and \textit{C. Schwab}, SIAM J. Matrix Anal. Appl. 36, No. 3, 1221--1247 (2015; Zbl 1322.60155) Full Text: DOI Link
Ding, Weiyang; Wei, Yimin Generalized tensor eigenvalue problems. (English) Zbl 1321.15018 SIAM J. Matrix Anal. Appl. 36, No. 3, 1073-1099 (2015). MSC: 15A18 15A69 15A42 15A60 PDFBibTeX XMLCite \textit{W. Ding} and \textit{Y. Wei}, SIAM J. Matrix Anal. Appl. 36, No. 3, 1073--1099 (2015; Zbl 1321.15018) Full Text: DOI
Sørensen, Mikael; Domanov, Ignat; de Lathauwer, Lieven Coupled canonical polyadic decompositions and (coupled) decompositions in multilinear rank-\((L_{r,n},L_{r,n},1)\) terms. II: Algorithms. (English) Zbl 1321.65068 SIAM J. Matrix Anal. Appl. 36, No. 3, 1015-1045 (2015). MSC: 65F30 15A69 15A23 94A12 PDFBibTeX XMLCite \textit{M. Sørensen} et al., SIAM J. Matrix Anal. Appl. 36, No. 3, 1015--1045 (2015; Zbl 1321.65068) Full Text: DOI
Van Loan, Charles F.; Vokt, Joseph P. Approximating matrices with multiple symmetries. (English) Zbl 1319.65032 SIAM J. Matrix Anal. Appl. 36, No. 3, 974-993 (2015). MSC: 65F30 65F05 15A69 15B57 PDFBibTeX XMLCite \textit{C. F. Van Loan} and \textit{J. P. Vokt}, SIAM J. Matrix Anal. Appl. 36, No. 3, 974--993 (2015; Zbl 1319.65032) Full Text: DOI arXiv
Dreesen, Philippe; Ishteva, Mariya; Schoukens, Johan Decoupling multivariate polynomials using first-order information and tensor decompositions. (English) Zbl 1319.65043 SIAM J. Matrix Anal. Appl. 36, No. 2, 864-879 (2015). MSC: 65H99 15A69 11P05 13P05 PDFBibTeX XMLCite \textit{P. Dreesen} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 864--879 (2015; Zbl 1319.65043) Full Text: DOI arXiv
Cai, Yunfeng; Shi, Decai; Xu, Shufang A matrix polynomial spectral approach for general joint block diagonalization. (English) Zbl 1319.65030 SIAM J. Matrix Anal. Appl. 36, No. 2, 839-863 (2015). MSC: 65F30 15A21 15A69 15B57 PDFBibTeX XMLCite \textit{Y. Cai} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 839--863 (2015; Zbl 1319.65030) Full Text: DOI
Jiang, Yao-Lin; Kong, Xu On the uniqueness and perturbation to the best rank-one approximation of a tensor. (English) Zbl 1317.65111 SIAM J. Matrix Anal. Appl. 36, No. 2, 775-792 (2015). MSC: 65F30 15A03 15A69 PDFBibTeX XMLCite \textit{Y.-L. Jiang} and \textit{X. Kong}, SIAM J. Matrix Anal. Appl. 36, No. 2, 775--792 (2015; Zbl 1317.65111) Full Text: DOI
Sørensen, Mikael; De Lathauwer, Lieven Coupled canonical polyadic decompositions and (coupled) decompositions in multilinear rank-\((L_r,n,L_r,n,1)\) terms. I: Uniqueness. (English) Zbl 1320.15010 SIAM J. Matrix Anal. Appl. 36, No. 2, 496-522 (2015). MSC: 15A22 15A23 15A69 PDFBibTeX XMLCite \textit{M. Sørensen} and \textit{L. De Lathauwer}, SIAM J. Matrix Anal. Appl. 36, No. 2, 496--522 (2015; Zbl 1320.15010) Full Text: DOI
Cui, Chun-Feng; Dai, Yu-Hong; Nie, Jiawang All real eigenvalues of symmetric tensors. (English) Zbl 1312.65053 SIAM J. Matrix Anal. Appl. 35, No. 4, 1582-1601 (2014). MSC: 65F15 15A69 65K05 90C05 PDFBibTeX XMLCite \textit{C.-F. Cui} et al., SIAM J. Matrix Anal. Appl. 35, No. 4, 1582--1601 (2014; Zbl 1312.65053) Full Text: DOI arXiv
Kolda, Tamara G.; Mayo, Jackson R. An adaptive shifted power method for computing generalized tensor eigenpairs. (English) Zbl 1318.65019 SIAM J. Matrix Anal. Appl. 35, No. 4, 1563-1581 (2014). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 15A18 15A69 PDFBibTeX XMLCite \textit{T. G. Kolda} and \textit{J. R. Mayo}, SIAM J. Matrix Anal. Appl. 35, No. 4, 1563--1581 (2014; Zbl 1318.65019) Full Text: DOI arXiv
Goulart, J. H. de M.; Favier, G. An algebraic solution for the Candecomp/PARAFAC decomposition with circulant factors. (English) Zbl 1315.15024 SIAM J. Matrix Anal. Appl. 35, No. 4, 1543-1562 (2014). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15A69 15A23 65F10 15A18 PDFBibTeX XMLCite \textit{J. H. de M. Goulart} and \textit{G. Favier}, SIAM J. Matrix Anal. Appl. 35, No. 4, 1543--1562 (2014; Zbl 1315.15024) Full Text: DOI HAL
Chiantini, Luca; Ottaviani, Giorgio; Vannieuwenhoven, Nick An algorithm for generic and low-rank specific identifiability of complex tensors. (English) Zbl 1322.14022 SIAM J. Matrix Anal. Appl. 35, No. 4, 1265-1287 (2014). Reviewer: Piotr Pokora (Kraków) MSC: 14A10 14A25 15A69 15A21 14Q15 PDFBibTeX XMLCite \textit{L. Chiantini} et al., SIAM J. Matrix Anal. Appl. 35, No. 4, 1265--1287 (2014; Zbl 1322.14022) Full Text: DOI arXiv Link
Qi, Liqun; Xu, Changqing; Xu, Yi Nonnegative tensor factorization, completely positive tensors, and a hierarchical elimination algorithm. (English) Zbl 1317.65114 SIAM J. Matrix Anal. Appl. 35, No. 4, 1227-1241 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A18 15A69 PDFBibTeX XMLCite \textit{L. Qi} et al., SIAM J. Matrix Anal. Appl. 35, No. 4, 1227--1241 (2014; Zbl 1317.65114) Full Text: DOI arXiv
Ishteva, Mariya; Usevich, Konstantin; Markovsky, Ivan Factorization approach to structured low-rank approximation with applications. (English) Zbl 1305.65131 SIAM J. Matrix Anal. Appl. 35, No. 3, 1180-1204 (2014). MSC: 65F30 15A23 15A69 PDFBibTeX XMLCite \textit{M. Ishteva} et al., SIAM J. Matrix Anal. Appl. 35, No. 3, 1180--1204 (2014; Zbl 1305.65131) Full Text: DOI arXiv
Nie, Jiawang; Wang, Li Semidefinite relaxations for best rank-1 tensor approximations. (English) Zbl 1305.65134 SIAM J. Matrix Anal. Appl. 35, No. 3, 1155-1179 (2014). MSC: 65F30 15A69 90C22 PDFBibTeX XMLCite \textit{J. Nie} and \textit{L. Wang}, SIAM J. Matrix Anal. Appl. 35, No. 3, 1155--1179 (2014; Zbl 1305.65134) Full Text: DOI arXiv
Rezghi, Mansoor; Hosseini, S. Mohammad; Eldén, Lars Best Kronecker product approximation of the blurring operator in three dimensional image restoration problems. (English) Zbl 1308.15026 SIAM J. Matrix Anal. Appl. 35, No. 3, 1086-1104 (2014). Reviewer: Adhemar Bultheel (Leuven) MSC: 15A69 65F22 94A08 PDFBibTeX XMLCite \textit{M. Rezghi} et al., SIAM J. Matrix Anal. Appl. 35, No. 3, 1086--1104 (2014; Zbl 1308.15026) Full Text: DOI Link
Wang, Liqi; Chu, Moody T. On the global convergence of the alternating least squares method for rank-one approximation to generic tensors. (English) Zbl 1305.65129 SIAM J. Matrix Anal. Appl. 35, No. 3, 1058-1072 (2014). MSC: 65F20 15A69 PDFBibTeX XMLCite \textit{L. Wang} and \textit{M. T. Chu}, SIAM J. Matrix Anal. Appl. 35, No. 3, 1058--1072 (2014; Zbl 1305.65129) Full Text: DOI Link
Higham, Nicholas J.; Relton, Samuel D. Higher order Fréchet derivatives of matrix functions and the level-2 condition number. (English) Zbl 1308.65066 SIAM J. Matrix Anal. Appl. 35, No. 3, 1019-1037 (2014). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F60 65F35 15B57 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{S. D. Relton}, SIAM J. Matrix Anal. Appl. 35, No. 3, 1019--1037 (2014; Zbl 1308.65066) Full Text: DOI