Статті в журналах з теми "Rank of symmetric tensors"
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Ballico, E. "Gaps in the pairs (border rank, symmetric rank) for symmetric tensors." Sarajevo Journal of Mathematics 9, no. 2 (November 2013): 169–81. http://dx.doi.org/10.5644/sjm.09.2.02.
Повний текст джерелаComon, Pierre, Gene Golub, Lek-Heng Lim, and Bernard Mourrain. "Symmetric Tensors and Symmetric Tensor Rank." SIAM Journal on Matrix Analysis and Applications 30, no. 3 (January 2008): 1254–79. http://dx.doi.org/10.1137/060661569.
Повний текст джерелаSEGAL, ARKADY Y. "POINT PARTICLE–SYMMETRIC TENSORS INTERACTION AND GENERALIZED GAUGE PRINCIPLE." International Journal of Modern Physics A 18, no. 27 (October 30, 2003): 5021–38. http://dx.doi.org/10.1142/s0217751x03015842.
Повний текст джерелаCasarotti, Alex, Alex Massarenti, and Massimiliano Mella. "On Comon’s and Strassen’s Conjectures." Mathematics 6, no. 11 (October 25, 2018): 217. http://dx.doi.org/10.3390/math6110217.
Повний текст джерелаBernardi, Alessandra, Alessandro Gimigliano, and Monica Idà. "Computing symmetric rank for symmetric tensors." Journal of Symbolic Computation 46, no. 1 (January 2011): 34–53. http://dx.doi.org/10.1016/j.jsc.2010.08.001.
Повний текст джерелаDe Paris, Alessandro. "Seeking for the Maximum Symmetric Rank." Mathematics 6, no. 11 (November 12, 2018): 247. http://dx.doi.org/10.3390/math6110247.
Повний текст джерелаObster, Dennis, and Naoki Sasakura. "Counting Tensor Rank Decompositions." Universe 7, no. 8 (August 15, 2021): 302. http://dx.doi.org/10.3390/universe7080302.
Повний текст джерелаFriedland, Shmuel. "Remarks on the Symmetric Rank of Symmetric Tensors." SIAM Journal on Matrix Analysis and Applications 37, no. 1 (January 2016): 320–37. http://dx.doi.org/10.1137/15m1022653.
Повний текст джерелаZhang, Xinzhen, Zheng-Hai Huang, and Liqun Qi. "Comon's Conjecture, Rank Decomposition, and Symmetric Rank Decomposition of Symmetric Tensors." SIAM Journal on Matrix Analysis and Applications 37, no. 4 (January 2016): 1719–28. http://dx.doi.org/10.1137/141001470.
Повний текст джерелаWen, Jie, Qin Ni, and Wenhuan Zhu. "Rank-r decomposition of symmetric tensors." Frontiers of Mathematics in China 12, no. 6 (May 5, 2017): 1339–55. http://dx.doi.org/10.1007/s11464-017-0632-5.
Повний текст джерелаTheocaris, P. S., and D. P. Sokolis. "Linear elastic eigenstates of the compliance tensor for trigonal crystals." Zeitschrift für Kristallographie - Crystalline Materials 215, no. 1 (January 1, 2000): 1–9. http://dx.doi.org/10.1524/zkri.2000.215.1.01.
Повний текст джерелаBozorgmanesh, Hassan, and Anthony Chronopoulos. "On rank decomposition and semi-symmetric rank decomposition of semi-symmetric tensors." Computational Mathematics and Computer Modeling with Applications (CMCMA) 1, no. 1 (January 1, 2022): 37–47. http://dx.doi.org/10.52547/cmcma.1.1.37.
Повний текст джерелаWu, Leqin, Xin Liu, and Zaiwen Wen. "Symmetric rank-1 approximation of symmetric high-order tensors." Optimization Methods and Software 35, no. 2 (October 21, 2019): 416–38. http://dx.doi.org/10.1080/10556788.2019.1678034.
Повний текст джерелаBERGQVIST, G. "CAUSAL TENSORS AND SIMPLE FORMS." International Journal of Modern Physics A 17, no. 20 (August 10, 2002): 2748. http://dx.doi.org/10.1142/s0217751x02011758.
Повний текст джерелаBallico, Edoardo, and Alessandra Bernardi. "Real and Complex Rank for Real Symmetric Tensors with Low Ranks." Algebra 2013 (March 21, 2013): 1–5. http://dx.doi.org/10.1155/2013/794054.
Повний текст джерелаBergqvist, Göran, and Paul Lankinen. "Algebraic and differential Rainich conditions for symmetric trace-free tensors of higher rank." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2059 (June 15, 2005): 2181–95. http://dx.doi.org/10.1098/rspa.2004.1411.
Повний текст джерелаDresselhaus, M. S., and G. Dresselhaus. "Note on sufficient symmetry conditions for isotropy of the elastic moduli tensor." Journal of Materials Research 6, no. 5 (May 1991): 1114–18. http://dx.doi.org/10.1557/jmr.1991.1114.
Повний текст джерелаMourrain, Bernard, and Alessandro Oneto. "On minimal decompositions of low rank symmetric tensors." Linear Algebra and its Applications 607 (December 2020): 347–77. http://dx.doi.org/10.1016/j.laa.2020.06.029.
Повний текст джерелаO'Hara, Michael J. "On the perturbation of rank-one symmetric tensors." Numerical Linear Algebra with Applications 21, no. 1 (July 31, 2012): 1–12. http://dx.doi.org/10.1002/nla.1851.
Повний текст джерелаOstrosablin, N. I. "Functional relation between two symmetric second-rank tensors." Journal of Applied Mechanics and Technical Physics 48, no. 5 (September 2007): 734–36. http://dx.doi.org/10.1007/s10808-007-0094-8.
Повний текст джерелаde Gracia, G. B., and G. P. de Brito. "Simple prescription for computing the nonrelativistic interparticle potential energy related to dual models." International Journal of Modern Physics A 31, no. 12 (April 28, 2016): 1650070. http://dx.doi.org/10.1142/s0217751x16500706.
Повний текст джерелаBallico, Edoardo, Alessandra Bernardi, Matthias Christandl, and Fulvio Gesmundo. "On the partially symmetric rank of tensor products of $W$-states and other symmetric tensors." Rendiconti Lincei - Matematica e Applicazioni 30, no. 1 (April 1, 2019): 93–124. http://dx.doi.org/10.4171/rlm/837.
Повний текст джерелаBernardi, Alessandra, Enrico Carlini, Maria Catalisano, Alessandro Gimigliano, and Alessandro Oneto. "The Hitchhiker Guide to: Secant Varieties and Tensor Decomposition." Mathematics 6, no. 12 (December 8, 2018): 314. http://dx.doi.org/10.3390/math6120314.
Повний текст джерелаFriedland, Shmuel. "Best rank one approximation of real symmetric tensors can be chosen symmetric." Frontiers of Mathematics in China 8, no. 1 (December 6, 2012): 19–40. http://dx.doi.org/10.1007/s11464-012-0262-x.
Повний текст джерелаRodríguez, Jorge Tomás. "On the rank and the approximation of symmetric tensors." Linear Algebra and its Applications 628 (November 2021): 72–102. http://dx.doi.org/10.1016/j.laa.2021.07.002.
Повний текст джерелаXu, Peiliang. "Spectral theory of constrained second-rank symmetric random tensors." Geophysical Journal International 138, no. 1 (July 1999): 1–24. http://dx.doi.org/10.1046/j.1365-246x.1999.00807.x.
Повний текст джерелаChiantini, Luca, Giorgio Ottaviani, and Nick Vannieuwenhoven. "On generic identifiability of symmetric tensors of subgeneric rank." Transactions of the American Mathematical Society 369, no. 6 (November 8, 2016): 4021–42. http://dx.doi.org/10.1090/tran/6762.
Повний текст джерелаBaker, Mark Robert, and Julia Bruce-Robertson. "Curvature tensors of higher-spin gauge theories derived from general Lagrangian densities." Canadian Journal of Physics 99, no. 9 (September 2021): 764–71. http://dx.doi.org/10.1139/cjp-2020-0623.
Повний текст джерелаWang, Gang, Linxuan Sun, and Yiju Wang. "Sharp Z-eigenvalue inclusion set-based method for testing the positive definiteness of multivariate homogeneous forms." Filomat 34, no. 9 (2020): 3131–39. http://dx.doi.org/10.2298/fil2009131w.
Повний текст джерелаSEGAL, ARKADY Y. "POINT PARTICLE IN GENERAL BACKGROUND FIELDS AND FREE GAUGE THEORIES OF TRACELESS SYMMETRIC TENSORS." International Journal of Modern Physics A 18, no. 27 (October 30, 2003): 4999–5019. http://dx.doi.org/10.1142/s0217751x03015830.
Повний текст джерелаTINTAREANU-MIRCEA, OVIDIU. "f-SYMBOLS, KILLING TENSORS AND CONSERVED BEL-TYPE CURRENTS." Modern Physics Letters A 26, no. 05 (February 20, 2011): 337–49. http://dx.doi.org/10.1142/s0217732311034888.
Повний текст джерелаCeruti, Gianluca, and Christian Lubich. "Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors." BIT Numerical Mathematics 60, no. 3 (January 28, 2020): 591–614. http://dx.doi.org/10.1007/s10543-019-00799-8.
Повний текст джерелаMu, Cun, Daniel Hsu, and Donald Goldfarb. "Successive Rank-One Approximations for Nearly Orthogonally Decomposable Symmetric Tensors." SIAM Journal on Matrix Analysis and Applications 36, no. 4 (January 2015): 1638–59. http://dx.doi.org/10.1137/15m1010890.
Повний текст джерелаBallico, E. "Rank 1 Decompositions of Symmetric Tensors Outside a Fixed Support." ISRN Geometry 2013 (December 29, 2013): 1–4. http://dx.doi.org/10.1155/2013/704072.
Повний текст джерелаLeineweber, Andreas. "Anisotropic diffraction-line broadening due to microstrain distribution: parametrization opportunities." Journal of Applied Crystallography 39, no. 4 (July 15, 2006): 509–18. http://dx.doi.org/10.1107/s0021889806019546.
Повний текст джерелаFu, Tao-Ran, and Jin-Yan Fan. "Successive Partial-Symmetric Rank-One Algorithms for Almost Unitarily Decomposable Conjugate Partial-Symmetric Tensors." Journal of the Operations Research Society of China 7, no. 1 (February 9, 2018): 147–67. http://dx.doi.org/10.1007/s40305-018-0194-6.
Повний текст джерелаSoler, Tomás, and Boudewijn H. W. Gelder. "On covariances of eigenvalues and eigenvectors of second-rank symmetric tensors." Geophysical Journal International 105, no. 2 (May 1991): 537–46. http://dx.doi.org/10.1111/j.1365-246x.1991.tb06732.x.
Повний текст джерелаNi, Guyan, and Yiju Wang. "On the best rank-1 approximation to higher-order symmetric tensors." Mathematical and Computer Modelling 46, no. 9-10 (November 2007): 1345–52. http://dx.doi.org/10.1016/j.mcm.2007.01.008.
Повний текст джерелаSam, Steven V. "Ideals of bounded rank symmetric tensors are generated in bounded degree." Inventiones mathematicae 207, no. 1 (May 12, 2016): 1–21. http://dx.doi.org/10.1007/s00222-016-0668-2.
Повний текст джерелаSam, Steven V. "Syzygies of bounded rank symmetric tensors are generated in bounded degree." Mathematische Annalen 368, no. 3-4 (December 22, 2016): 1095–108. http://dx.doi.org/10.1007/s00208-016-1509-8.
Повний текст джерелаBallico, E. "Tensor ranks and symmetric tensor ranks are the same for points with low symmetric tensor rank." Archiv der Mathematik 96, no. 6 (May 15, 2011): 531–34. http://dx.doi.org/10.1007/s00013-011-0274-x.
Повний текст джерелаBallico, Edoardo. "ON THE TYPICAL RANK OF REAL POLYNOMIALS (OR SYMMETRIC TENSORS) WITH A FIXED BORDER RANK." Acta Mathematica Vietnamica 39, no. 3 (August 8, 2014): 367–78. http://dx.doi.org/10.1007/s40306-014-0068-x.
Повний текст джерелаNie, Jiawang. "Low Rank Symmetric Tensor Approximations." SIAM Journal on Matrix Analysis and Applications 38, no. 4 (January 2017): 1517–40. http://dx.doi.org/10.1137/16m1107528.
Повний текст джерелаBallico, Edoardo. "Multiple points, scheme rank and symmetric tensor rank." Portugaliae Mathematica 70, no. 3 (2013): 243–50. http://dx.doi.org/10.4171/pm/1933.
Повний текст джерелаIshteva, Mariya, P. A. Absil, and Paul Van Dooren. "Jacobi Algorithm for the Best Low Multilinear Rank Approximation of Symmetric Tensors." SIAM Journal on Matrix Analysis and Applications 34, no. 2 (January 2013): 651–72. http://dx.doi.org/10.1137/11085743x.
Повний текст джерелаLagzdin', A. "Smooth convex limit surfaces in the space of symmetric second-rank tensors." Mechanics of Composite Materials 33, no. 2 (March 1997): 119–27. http://dx.doi.org/10.1007/bf02269597.
Повний текст джерелаWu, Fengsheng, Chaoqian Li, and Yaotang Li. "Algorithms for Structure Preserving Best Rank-one Approximations of Partially Symmetric Tensors." Frontiers of Mathematics 18, no. 1 (January 2023): 123–52. http://dx.doi.org/10.1007/s11464-021-0088-5.
Повний текст джерелаSam, David D., E. Turan Onat, Pavel I. Etingof, and Brent L. Adams. "Coordinate Free Tensorial Representation of the Orientation Distribution Function With Harmonic Polynomials." Textures and Microstructures 21, no. 4 (January 1, 1993): 233–50. http://dx.doi.org/10.1155/tsm.21.233.
Повний текст джерелаBallico, Edoardo, and Luca Chiantini. "Sets Computing the Symmetric Tensor Rank." Mediterranean Journal of Mathematics 10, no. 2 (July 3, 2012): 643–54. http://dx.doi.org/10.1007/s00009-012-0214-4.
Повний текст джерелаWang, Xuezhong. "Best Rank-One Approximation of Fourth-Order Partially Symmetric Tensors by Neural Network." Numerical Mathematics: Theory, Methods and Applications 11, no. 4 (June 2018): 673–700. http://dx.doi.org/10.4208/nmtma.2018.s01.
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