He, Peng-Zhang; Zhang, Hai-Qing Probing Krylov complexity in scalar field theory with general temperatures. (English) Zbl 07974892 J. High Energy Phys. 2024, No. 11, Paper No. 14, 30 p. (2024). MSC: 81Txx 81-XX 81Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ullrich, Mario Inequalities between s-numbers. (English) Zbl 07952550 Adv. Oper. Theory 9, No. 4, Paper No. 82, 7 p. (2024). MSC: 47B06 46B50 47B01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Howlett, Phil; Torokhti, Anatoli Optimal approximation of a large matrix by a sum of projected linear mappings on prescribed subspaces. (English) Zbl 1547.65046 Electron. J. Linear Algebra 40, 585-605 (2024). MSC: 65F55 65F35 65K10 15A09 × Cite Format Result Cite Review PDF Full Text: DOI
Carlen, Eric A.; Loss, Michael P. On an inequality of Lin, Kim and Hsieh and strong subadditivity. (English) Zbl 07930029 Lett. Math. Phys. 114, No. 5, Paper No. 109, 7 p. (2024). MSC: 81P17 15A15 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Theel, Friethjof; Mistakidi, Simeon I.; Schmelcher, Peter Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons. (English) Zbl 07908501 SciPost Phys. 16, No. 1, Paper No. 23, 34 p. (2024). MSC: 81Vxx 81Pxx 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van Luijk, Lauritz; Schwonnek, René; Stottmeister, Alexander; Werner, Reinhard F. The Schmidt rank for the commuting operator framework. (English) Zbl 07873576 Commun. Math. Phys. 405, No. 7, Paper No. 152, 46 p. (2024). MSC: 46L60 81P40 46N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Shao-Lun; Makur, Anuran; Wornell, Gregory W.; Zheng, Lizhong Universal features for high-dimensional learning and inference. (English) Zbl 1536.68013 Found. Trends Commun. Inf. Theory 21, No. 1-2, 1-299 (2024). MSC: 68T05 68-02 94A15 94A12 94A08 68U10 68T07 62H30 65F15 62H25 62H12 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Budzinskiy, Stanislav On the distance to low-rank matrices in the maximum norm. (English) Zbl 1537.15014 Linear Algebra Appl. 688, 44-58 (2024). Reviewer: Minghua Lin (Xi’an) MSC: 15A60 65F55 15A45 47A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duan, Junming; Hesthaven, Jan S. Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems. (English) Zbl 07811309 J. Comput. Phys. 497, Article ID 112621, 22 p. (2024). MSC: 65Mxx 65Nxx 65Fxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costa, João Concept of s-numbers in quaternionic analysis and Schatten classes. (English) Zbl 07793259 Adv. Appl. Clifford Algebr. 34, No. 1, Paper No. 4, 23 p. (2024). MSC: 47B06 46S05 × Cite Format Result Cite Review PDF Full Text: DOI
Cabrelli, Carlos; Molter, Ursula Learning the model from the data. (English) Zbl 1532.94023 Rev. Unión Mat. Argent. 66, No. 1, 141-152 (2023). MSC: 94A20 94A12 94A08 42C15 46N99 × Cite Format Result Cite Review PDF Full Text: DOI
Halvic, Ian; Ragusa, Jean C. Non-intrusive model order reduction for parametric radiation transport simulations. (English) Zbl 07742890 J. Comput. Phys. 492, Article ID 112385, 21 p. (2023). MSC: 65Nxx 65-XX 65Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Bachmayr, Markus Low-rank tensor methods for partial differential equations. (English) Zbl 07736652 Acta Numerica 32, 1-121 (2023). MSC: 65-XX 41A46 41A63 65D40 65F55 65J10 65M12 65N12 65N25 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI
He, Xiao-Feng; Li, Liang; Lanteri, Stéphane; Li, Kun Model order reduction for parameterized electromagnetic problems using matrix decomposition and deep neural networks. (English) Zbl 07733949 J. Comput. Appl. Math. 431, Article ID 115271, 24 p. (2023). MSC: 65Mxx 78Mxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Lin, Yifan; Gao, Zhen; Chen, Yuanhong; Sun, Xiang A dynamic mode decomposition based reduced-order model for parameterized time-dependent partial differential equations. (English) Zbl 07698930 J. Sci. Comput. 95, No. 3, Paper No. 70, 24 p. (2023). MSC: 65Mxx 65Nxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Charous, Aaron; Lermusiaux, Pierre F. J. Dynamically orthogonal Runge-Kutta schemes with perturbative retractions for the dynamical low-rank approximation. (English) Zbl 1517.37087 SIAM J. Sci. Comput. 45, No. 2, A872-A897 (2023). MSC: 37M99 65C30 65L06 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Devendra, Repana; Mallick, Nirupama; Sumesh, K. Mapping cone of \(k\)-entanglement breaking maps. (English) Zbl 07668040 Positivity 27, No. 1, Paper No. 5, 32 p. (2023). MSC: 47L07 81P40 81P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Griebel, Michael; Harbrecht, Helmut Analysis of tensor approximation schemes for continuous functions. (English) Zbl 1531.41026 Found. Comput. Math. 23, No. 1, 219-240 (2023). Reviewer: Dmitrii Legatiuk (Erfurt) MSC: 41A46 41A63 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schoonees, Pieter C.; Groenen, Patrick J. F.; van de Velden, Michel Least-squares bilinear clustering of three-way data. (English) Zbl 07703095 Adv. Data Anal. Classif., ADAC 16, No. 4, 1001-1037 (2022). MSC: 62H30 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Hedemann, Samuel R. Multipartite mixed maximally entangled states: mixed states with entanglement 1. (English) Zbl 1508.81127 Quantum Inf. Process. 21, No. 4, Paper No. 133, 35 p. (2022). MSC: 81P40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sharma, Kapil K.; Sinha, Suprabhat; Chandra, Krishna Efficacy of Moriya interaction to free the bound entangled state. (English) Zbl 1508.81188 Quantum Inf. Process. 21, No. 1, Paper No. 21, 12 p. (2022). MSC: 81P40 81P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Allmann-Rahn, F.; Grauer, R.; Kormann, K. A parallel low-rank solver for the six-dimensional Vlasov-Maxwell equations. (English) Zbl 07592151 J. Comput. Phys. 469, Article ID 111562, 18 p. (2022). MSC: 65Mxx 35Qxx 65Fxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rakhimov, D. G. Reductional method in perturbation theory of generalized spectral E. Schmidt problem. (English. Russian original) Zbl 07584486 J. Math. Sci., New York 265, No. 1, 69-78 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 1, 72-82 (2019). MSC: 47Axx 45-XX 15Axx × Cite Format Result Cite Review PDF Full Text: DOI
Pathania, Neha; Qureshi, Tabish Quantifying entanglement with coherence. (English) Zbl 1486.81039 Int. J. Theor. Phys. 61, No. 2, Paper No. 25, 10 p. (2022). MSC: 81P42 81P40 81P15 81P16 81P68 46B10 16P70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vishnevetskiy, K. S. On the coincidence of pure greedy and best \(m\)-term approximations. (English. Russian original) Zbl 07488495 Math. Notes 111, No. 2, 204-210 (2022); translation from Mat. Zametki 111, No. 2, 202-210 (2022). MSC: 65-XX 41Axx 65Dxx 68Txx × Cite Format Result Cite Review PDF Full Text: DOI
Tyagi, Narayani; Wharton, Ken Spacetime path integrals for entangled states. (English) Zbl 1485.81016 Found. Phys. 52, No. 1, Paper No. 9, 23 p. (2022). MSC: 81P40 81V70 81S40 81P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bernardi, Alessandra; Iannacito, Martina; Rocchini, Duccio High order singular value decomposition for plant diversity estimation. (English) Zbl 1505.65180 Boll. Unione Mat. Ital. 14, No. 4, 557-591 (2021). MSC: 65F55 15A69 15A18 92D40 92C80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bossu, Sébastien; Carr, Peter; Papanicolaou, Andrew A functional analysis approach to the static replication of European options. (English) Zbl 1477.91052 Quant. Finance 21, No. 4, 637-655 (2021). MSC: 91G20 91G10 × Cite Format Result Cite Review PDF Full Text: DOI
Keshavarzzadeh, Vahid; Kirby, Robert M.; Narayan, Akil Robust topology optimization with low rank approximation using artificial neural networks. (English) Zbl 1493.74095 Comput. Mech. 68, No. 6, 1297-1323 (2021). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 74P15 74P05 74B05 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Starovoitov, A. P.; Ryabchenko, N. V. Analogs of Schmidt’s formula for polyorthogonal polynomials of the first type. (English. Russian original) Zbl 1492.30021 Math. Notes 110, No. 3, 409-417 (2021); translation from Mat. Zametki 110, No. 3, 424-433 (2021). MSC: 30C10 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Bachmayr, Markus; Eisenmann, Henrik; Kieri, Emil; Uschmajew, André Existence of dynamical low-rank approximations to parabolic problems. (English) Zbl 1482.65136 Math. Comput. 90, No. 330, 1799-1830 (2021). MSC: 65M06 65F55 65L05 35K15 35R01 15A18 15A69 35A01 35A02 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane Non-intrusive reduced-order modeling of parameterized electromagnetic scattering problems using cubic spline interpolation. (English) Zbl 1472.65122 J. Sci. Comput. 87, No. 2, Paper No. 52, 29 p. (2021). MSC: 65M60 65M06 65N30 65D07 65M99 65F20 78A45 78M34 78M10 78M20 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Lange, Marko; Rump, Siegfried M. Verified inclusions for a nearest matrix of specified rank deficiency via a generalization of Wedin’s \(\sin (\theta)\) theorem. (English) Zbl 1470.65088 BIT 61, No. 1, 361-380 (2021). MSC: 65F99 15A03 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Xiang; Choi, Jung-Il Non-intrusive reduced-order modeling for uncertainty quantification of space-time-dependent parameterized problems. (English) Zbl 1524.76230 Comput. Math. Appl. 87, 50-64 (2021). MSC: 76M10 65M60 76D05 65N99 35B30 76M22 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Xiang; Pan, Xiaomin; Choi, Jung-Il Non-intrusive framework of reduced-order modeling based on proper orthogonal decomposition and polynomial chaos expansion. (English) Zbl 1457.76119 J. Comput. Appl. Math. 390, Article ID 113372, 23 p. (2021). MSC: 76M35 76D05 76R50 80A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andruchow, Esteban Unitary operators with decomposable corners. (English) Zbl 1507.47046 Banach J. Math. Anal. 15, No. 1, Paper No. 10, 25 p. (2021). MSC: 47B02 47A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ipek Al, Pembe; Ismailov, Zameddin I. Schatten-von Neumann characteristic of tensor product operators. (English) Zbl 1498.47048 Filomat 34, No. 10, 3411-3415 (2020). MSC: 47B06 47B10 47A80 × Cite Format Result Cite Review PDF Full Text: DOI
Ipek Al, Pembe Lorentz-Marcinkiewicz property of direct sum of operators. (English) Zbl 1498.47003 Filomat 34, No. 2, 391-398 (2020). MSC: 47A05 47B10 47B06 × Cite Format Result Cite Review PDF Full Text: DOI
Ipek Al, Pembe Lorentz-Schatten classes of direct sum of operators. (English) Zbl 1484.47033 Hacet. J. Math. Stat. 49, No. 2, 835-842 (2020). MSC: 47B10 47B06 47B37 × Cite Format Result Cite Review PDF Full Text: DOI
Reitberger, Günther; Sauer, Tomas Background subtraction using adaptive singular value decomposition. (English) Zbl 1496.68357 J. Math. Imaging Vis. 62, No. 8, 1159-1172 (2020). MSC: 68U10 65F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Chi-Kwong; Strang, Gilbert An elementary proof of Mirsky’s low rank approximation theorem. (English) Zbl 1453.15009 Electron. J. Linear Algebra 36, 694-697 (2020). MSC: 15A60 15A18 × Cite Format Result Cite Review PDF Full Text: Link
Barbieri, Davide; Cabrelli, Carlos; Hernández, Eugenio; Molter, Ursula Approximation by group invariant subspaces. (English. French summary) Zbl 1448.41031 J. Math. Pures Appl. (9) 142, 76-100 (2020). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A65 20H15 43A70 47A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kudryavtsev, Nikolaĭ L’vovich On connection of \(m\)-term and best approximations of some classes of sequences in the spaces \(l_p\). (English. Russian original) Zbl 1445.41017 Mosc. Univ. Math. Bull. 75, No. 1, 27-33 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 1, 28-36 (2020). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Uschmajew, André; Vandereycken, Bart Geometric methods on low-rank matrix and tensor manifolds. (English) Zbl 1512.65078 Grohs, Philipp (ed.) et al., Handbook of variational methods for nonlinear geometric data. Cham: Springer. 261-313 (2020). MSC: 65F55 15A69 53B21 90C30 90C48 × Cite Format Result Cite Review PDF Full Text: DOI
Crane, Daniel K.; Gockenbach, Mark S.; Roberts, Matthew J. Approximating the singular value expansion of a compact operator. (English) Zbl 07202473 SIAM J. Numer. Anal. 58, No. 2, 1295-1318 (2020). MSC: 65J22 47A52 × Cite Format Result Cite Review PDF Full Text: DOI
Rangan, Aaditya; Spivak, Marina; Andén, Joakim; Barnett, Alex Factorization of the translation kernel for fast rigid image alignment. (English) Zbl 1509.94006 Inverse Probl. 36, No. 2, Article ID 024001, 29 p. (2020). MSC: 94A08 92C55 65T50 68U10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deumens, Erik On classical systems and measurements in quantum mechanics. (English) Zbl 07899093 Quantum Stud. Math. Found. 6, No. 4, 481-517 (2019). MSC: 81P15 28C20 82C10 60G15 × Cite Format Result Cite Review PDF Full Text: DOI
Al, Pembe Ipek; Ismailov, Zameddin I. Schatten-von Neumann characteristic of infinite tridiagonal block operator matrices. (English) Zbl 1508.47003 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 2, 1852-1866 (2019). MSC: 47A08 47B10 × Cite Format Result Cite Review PDF Full Text: DOI
Alp, Pınar Zengin; Kara, Emrah Evren The new class \(L_{z,p,E}\) of \(s\)-type operators. (English) Zbl 1484.47032 AIMS Math. 4, No. 3, 779-791 (2019). MSC: 47B06 47B37 47L20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qian; Hesthaven, Jan S.; Ray, Deep Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem. (English) Zbl 1459.76117 J. Comput. Phys. 384, 289-307 (2019). MSC: 76M99 76V05 80A25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zhang, Zhenying; Guo, Mengwu; Hesthaven, Jan S. Model order reduction for large-scale structures with local nonlinearities. (English) Zbl 1441.74285 Comput. Methods Appl. Mech. Eng. 353, 491-515 (2019). MSC: 74S05 65N30 74A50 74B05 74B20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Guo, Mengwu; Hesthaven, Jan S. Data-driven reduced order modeling for time-dependent problems. (English) Zbl 1440.62346 Comput. Methods Appl. Mech. Eng. 345, 75-99 (2019). MSC: 62M99 62F15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bing, Xin; Wegkamp, Marten H. Adaptive estimation of the rank of the coefficient matrix in high-dimensional multivariate response regression models. (English) Zbl 1477.62140 Ann. Stat. 47, No. 6, 3157-3184 (2019). MSC: 62H15 62H12 62J05 62J07 60F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Dutta, Supriyo; Sarkar, Ramita; Panigrahi, Prasanta K. Permutation symmetric hypergraph states and multipartite quantum entanglement. (English) Zbl 1428.81021 Int. J. Theor. Phys. 58, No. 11, 3927-3944 (2019). MSC: 81P40 81Q35 05C65 × Cite Format Result Cite Review PDF Full Text: DOI
Falcó, Antonio; Hackbusch, Wolfgang; Nouy, Anthony On the Dirac-Frenkel variational principle on tensor Banach spaces. (English) Zbl 1427.46013 Found. Comput. Math. 19, No. 1, 159-204 (2019). Reviewer: Gianfranco Bottaro (Genova) MSC: 46B28 46A32 47J30 46T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Mengwu; Hesthaven, Jan S. Reduced order modeling for nonlinear structural analysis using Gaussian process regression. (English) Zbl 1440.65206 Comput. Methods Appl. Mech. Eng. 341, 807-826 (2018). MSC: 65N30 65N99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Shvai, K. V. Estimation of the best bilinear approximations for the classes of \((\psi, \beta)\)-differentiable periodic multivariable functions. (English. Ukrainian original) Zbl 1429.41028 Ukr. Math. J. 70, No. 4, 649-660 (2018); translation from Ukr. Mat. Zh. 70, No. 4, 564-573 (2018). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Romanyuk, A. S. Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables. (English. Ukrainian original) Zbl 1426.41034 Ukr. Math. J. 70, No. 2, 252-265 (2018); translation from Ukr. Mat. Zh. 70, No. 2, 224-235 (2018). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A46 × Cite Format Result Cite Review PDF Full Text: DOI
Izadi, Mohammad Randomized recompression of \(\mathcal {H}\)-matrices for BEM. (English) Zbl 1409.65025 Bull. Iran. Math. Soc. 44, No. 6, 1599-1625 (2018). MSC: 65F30 65F05 65N38 × Cite Format Result Cite Review PDF Full Text: DOI
Hashemi, Behnam; Nakatsukasa, Yuji On the spectral problem for trivariate functions. (English) Zbl 06989586 BIT 58, No. 4, 981-1008 (2018). MSC: 65K10 15A18 15A69 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hesthaven, J. S.; Ubbiali, S. Non-intrusive reduced order modeling of nonlinear problems using neural networks. (English) Zbl 1398.65330 J. Comput. Phys. 363, 55-78 (2018). MSC: 65N99 68T05 68W27 35B30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Romanyuk, A. S.; Romanyuk, V. S. Estimation of the best linear approximations for the classes \(B_{\mathrm{p},\theta}^{\mathrm{r}}\) and singular numbers of the integral operators. (English. Russian original) Zbl 1499.42012 Ukr. Math. J. 68, No. 9, 1424-1436 (2017); translation from Ukr. Mat. Zh. 68, No. 9, 1240-1250 (2016). MSC: 42A10 41A50 41A63 × Cite Format Result Cite Review PDF Full Text: DOI
Cabrelli, C.; Mosquera, C. A.; Paternostro, V. An approximation problem in multiplicatively invariant spaces. (English) Zbl 1386.42028 Cwikel, Michael (ed.) et al., Functional analysis, harmonic analysis, and image processing: a collection of papers in honor of Björn Jawerth. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2836-5/pbk; 978-1-4704-4166-1/ebook). Contemporary Mathematics 693, 143-165 (2017). MSC: 42C40 94A12 42C15 47A15 43A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Patrascu, Andrei T. Multipartite entanglement via the Mayer-Vietoris theorem. (English) Zbl 1383.83036 J. High Energy Phys. 2017, No. 10, Paper No. 74, 15 p. (2017). MSC: 83C45 81T40 81T45 81P40 54F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, N. Kishore; Schneider, Jan Literature survey on low rank approximation of matrices. (English) Zbl 1387.65039 Linear Multilinear Algebra 65, No. 11, 2212-2244 (2017). MSC: 65F30 68W20 68W25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Chenghua Entanglement of the quantum system with spin-spin coupling created by optical excitation. (English) Zbl 1382.81031 Quantum Inf. Process. 16, No. 12, Paper No. 307, 20 p. (2017). MSC: 81P40 81V35 81V80 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Torromé, Ricardo Gallego Emergent quantum mechanics and the origin of quantum non-local correlations. (English) Zbl 1387.81228 Int. J. Theor. Phys. 56, No. 10, 3323-3339 (2017). MSC: 81Q65 81P40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andruchow, Esteban; Corach, Gustavo Schmidt decomposable products of projections. (English) Zbl 1508.47001 Integral Equations Oper. Theory 89, No. 4, 557-580 (2017). MSC: 47A05 47A68 47B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Hamidi, A.; Ossman, H.; Jazar, M. On the convergence of alternating minimization methods in variational PGD. (English) Zbl 1383.49037 Comput. Optim. Appl. 68, No. 2, 455-472 (2017). MSC: 49K30 65K10 49K20 × Cite Format Result Cite Review PDF Full Text: DOI
Bai, Jianchao; Li, Jicheng; Dai, Pingfan Novel alternating update method for low rank approximation of structured matrices. (English) Zbl 1372.65195 Appl. Numer. Math. 121, 223-233 (2017). MSC: 65K15 49J40 93B30 × Cite Format Result Cite Review PDF Full Text: DOI
Eigel, Martin; Pfeffer, Max; Schneider, Reinhold Adaptive stochastic Galerkin FEM with hierarchical tensor representations. (English) Zbl 1397.65262 Numer. Math. 136, No. 3, 765-803 (2017). MSC: 65N30 35R60 47B80 60H35 65J10 65N12 65N22 65N75 × Cite Format Result Cite Review PDF Full Text: DOI Link
Georgieva, I.; Hofreither, C. On best uniform approximation by low-rank matrices. (English) Zbl 1354.15015 Linear Algebra Appl. 518, 159-176 (2017). MSC: 15A60 15A03 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Shkapa, V. V. Best trigonometric and bilinear approximations for the classes of \((\psi,\beta)\)-differentiable periodic functions. (English. Ukrainian original) Zbl 1490.42005 Ukr. Math. J. 68, No. 3, 433-447 (2016); translation from Ukr. Mat. Zh. 68, No. 3, 386-399 (2016). MSC: 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Temlyakov, V. Sparse approximation by greedy algorithms. (English) Zbl 1453.41008 Qian, Tao (ed.) et al., Mathematical analysis, probability and applications – plenary lectures. ISAAC congress, August 3–8, 2015, Macau, China. Cham: Springer. Springer Proc. Math. Stat. 177, 183-215 (2016). Reviewer: Bangti Jin (London) MSC: 41A65 41A46 94A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bachmayr, Markus; Schneider, Reinhold; Uschmajew, André Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations. (English) Zbl 1357.65153 Found. Comput. Math. 16, No. 6, 1423-1472 (2016). MSC: 65M22 35Q84 35Q40 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI Link
Semin, Adrien; Schmidt, Kersten Absorbing boundary conditions for acoustic models at low viscosity in a waveguide. (English) Zbl 1362.35241 Math. Methods Appl. Sci. 39, No. 17, 5043-5065 (2016). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q35 35C20 35J25 35B40 41A60 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Bigoni, Daniele; Engsig-Karup, Allan P.; Marzouk, Youssef M. Spectral tensor-train decomposition. (English) Zbl 1347.41006 SIAM J. Sci. Comput. 38, No. 4, A2405-A2439 (2016). MSC: 41A10 41A63 41A65 46M05 65D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jing, Naihuan; Yang, Min; Zhao, Hui Local unitary equivalence of quantum states and simultaneous orthogonal equivalence. (English) Zbl 1341.81012 J. Math. Phys. 57, No. 6, 062205, 8 p. (2016). MSC: 81P40 81P16 15A22 15A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sharma, Kapil K.; Pandey, S. N. Dzyaloshinskii-Moriya interaction as an agent to free the bound entangled states. (English) Zbl 1338.81076 Quantum Inf. Process. 15, No. 4, 1539-1551 (2016). MSC: 81P40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suykens, Johan A. K. SVD revisited: a new variational principle, compatible feature maps and nonlinear extensions. (English) Zbl 1335.49039 Appl. Comput. Harmon. Anal. 40, No. 3, 600-609 (2016). MSC: 49K21 15A23 49N15 49M25 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Wegkamp, Marten; Zhao, Yue Adaptive estimation of the copula correlation matrix for semiparametric elliptical copulas. (English) Zbl 1388.62162 Bernoulli 22, No. 2, 1184-1226 (2016). MSC: 62H12 62G05 62F12 62H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Hackbusch, Wolfgang New estimates for the recursive low-rank truncation of block-structured matrices. (English) Zbl 1333.65046 Numer. Math. 132, No. 2, 303-328 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A18 15A45 × Cite Format Result Cite Review PDF Full Text: DOI
Gower, John C.; Le Roux, Niël J.; Gardner-Lubbe, Sugnet Biplots: quantitative data. (English) Zbl 1545.62051 Wiley Interdiscip. Rev., WIREs Comput. Stat. 7, No. 1, 42-62 (2015). MSC: 62-08 × Cite Format Result Cite Review PDF Full Text: DOI
Wirtz, D.; Karajan, N.; Haasdonk, B. Surrogate modeling of multiscale models using kernel methods. (English) Zbl 1352.65144 Int. J. Numer. Methods Eng. 101, No. 1, 1-28 (2015). MSC: 65J10 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Earman, John Some puzzles and unresolved issues about quantum entanglement. (English) Zbl 1346.81015 Erkenntnis 80, No. 2, 303-337 (2015). MSC: 81P05 81P40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ranade, Kedar S. Functional analysis and quantum mechanics: an introduction for physicists. (English) Zbl 1338.46083 Fortschr. Phys. 63, No. 9-10, 644-658 (2015). MSC: 46N50 47L90 46L60 46C05 47B25 47A10 46F10 81-01 81-02 × Cite Format Result Cite Review PDF Full Text: DOI
Callaham, Michael B. Tidal and centripetal stress in a model human falling deep into a Kerr black hole. (English) Zbl 1331.83007 Classical Quantum Gravity 32, No. 24, Article ID 245008, 18 p. (2015). MSC: 83C05 83C10 83C57 × Cite Format Result Cite Review PDF Full Text: DOI
Hollik, Wolfgang Gregor; Saldaña Salazar, Ulises Jesús The double mass hierarchy pattern: simultaneously understanding quark and lepton mixing. (English) Zbl 1328.81225 Nucl. Phys., B 892, 364-389 (2015). MSC: 81V05 81V15 81R40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bazarkhanov, D.; Temlyakov, V. Nonlinear tensor product approximation of functions. (English) Zbl 1332.41026 J. Complexity 31, No. 6, 867-884 (2015). MSC: 41A46 41A63 41A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yu; Jia, Yanping; Li, Xiulan Multipartite unextendible entangled basis. (English) Zbl 1325.81012 Quantum Inf. Process. 14, No. 9, 3553-3568 (2015). MSC: 81P40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chung, Julianne; Chung, Matthias; O’Leary, Dianne P. Optimal regularized low rank inverse approximation. (English) Zbl 1307.65048 Linear Algebra Appl. 468, 260-269 (2015). MSC: 65F22 15A09 × Cite Format Result Cite Review PDF Full Text: DOI
Stasyuk, Serhii A. Best \(m\)-term trigonometric approximation of periodic functions of several variables from Nikol’skii-Besov classes for small smoothness. (English) Zbl 1480.42003 J. Approx. Theory 177, 1-16 (2014). MSC: 42A10 41A50 41A46 41A65 × Cite Format Result Cite Review PDF Full Text: DOI
Alonso, Miguel; Setälä, T.; Friberg, A. T. Minimum uncertainty solutions for partially coherent fields and quantum mixed states. (English) Zbl 1451.81399 New J. Phys. 16, No. 12, Article ID 123023, 19 p. (2014). MSC: 81V80 78A60 81S07 81P40 × Cite Format Result Cite Review PDF Full Text: DOI
Qian, X.-F.; Broadbent, C. J.; Eberly, J. H. Bell violation for unknown continuous-variable states. (English) Zbl 1451.81038 New J. Phys. 16, No. 1, Article ID 013033, 8 p. (2014). MSC: 81P15 81P42 81P40 81P13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hackbusch, Wolfgang; Schneider, Reinhold Tensor spaces and hierarchical tensor representations. (English) Zbl 1317.65102 Dahlke, Stephan (ed.) et al., Extraction of quantifiable information from complex systems. Cham: Springer (ISBN 978-3-319-08158-8/hbk; 978-3-319-08159-5/ebook). Lecture Notes in Computational Science and Engineering 102, 237-261 (2014). MSC: 65F20 15A69 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, Manjul; Bhar, Antara Generalized Orlicz-Lorentz sequence spaces and corresponding operator ideals. (English) Zbl 1349.46003 Math. Slovaca 64, No. 6, 1475-1496 (2014). Reviewer: Henryk Hudzik (Poznań) MSC: 46A45 47B06 47L20 × Cite Format Result Cite Review PDF Full Text: DOI
Sharma, Kapil K.; Pandey, S. N. Entanglement dynamics in two-parameter qubit-qutrit states under Dzyaloshinskii-Moriya interaction. (English) Zbl 1305.81032 Quantum Inf. Process. 13, No. 9, 2017-2038 (2014). MSC: 81P40 × Cite Format Result Cite Review PDF Full Text: DOI
Kohaupt, Ludwig Introduction to a Gram-Schmidt-type biorthogonalization method. (English) Zbl 1303.65024 Rocky Mt. J. Math. 44, No. 4, 1265-1279 (2014). Reviewer: Ludwig Kohaupt (Berlin) MSC: 65F25 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Archibald, T.; Tazzioli, R. Integral equations between theory and practice: the cases of Italy and France to 1920. (English) Zbl 1346.01014 Arch. Hist. Exact Sci. 68, No. 5, 547-597 (2014). Reviewer: Reinhard Siegmund-Schultze (Kristiansand) MSC: 01A60 45-03 × Cite Format Result Cite Review PDF Full Text: DOI
Sazim, Sk; Adhikari, Satyabrata; Banerjee, Subhashish; Pramanik, Tanumoy Quantification of entanglement of teleportation in arbitrary dimensions. (English) Zbl 1291.81058 Quantum Inf. Process. 13, No. 4, 863-880 (2014). MSC: 81P40 81P45 81S22 81P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv