-
1
-
-
0142055272
-
Tensor approximations of matrices generated by asymptotically smooth functions
-
DOI: 10.1070/SM2003v194n06ABEH000747.
-
Tyrtyshnikov EE. Tensor approximations of matrices generated by asymptotically smooth functions. Sbornik: Mathematics 2003; 194(6):941-954. DOI: 10.1070/SM2003v194n06ABEH000747.
-
(2003)
Sbornik: Mathematics
, vol.194
, Issue.6
, pp. 941-954
-
-
Tyrtyshnikov, E.E.1
-
2
-
-
0742320626
-
Kronecker-product approximations for some function-related matrices
-
DOI: 10.1016/j.laa.2003.08.013.
-
Tyrtyshnikov EE. Kronecker-product approximations for some function-related matrices. Linear Algebra and its Applications 2004; 379:423-437. DOI: 10.1016/j.laa.2003.08.013.
-
(2004)
Linear Algebra and its Applications
, vol.379
, pp. 423-437
-
-
Tyrtyshnikov, E.E.1
-
4
-
-
0036391742
-
Application of the three-way decomposition for matrix compression
-
DOI: 10.1002/nla.297.
-
Ibraghimov I. Application of the three-way decomposition for matrix compression. Numerical Linear Algebra with Applications 2002; 9(6-7):551-565. DOI: 10.1002/nla.297.
-
(2002)
Numerical Linear Algebra with Applications
, vol.9
, Issue.6-7
, pp. 551-565
-
-
Ibraghimov, I.1
-
5
-
-
27644573654
-
Approximate inversion of matrices in the process of solving a hypersingular integral equation
-
Oseledets IV, Tyrtyshnikov EE. Approximate inversion of matrices in the process of solving a hypersingular integral equation. Computational Mathematics and Mathematical Physics 2005; 45(2):302-313.
-
(2005)
Computational Mathematics and Mathematical Physics
, vol.45
, Issue.2
, pp. 302-313
-
-
Oseledets, I.V.1
Tyrtyshnikov, E.E.2
-
6
-
-
78649646365
-
-
Polilinear approximation of matrices and integral equations. Ph.D. Thesis, INM RAS, Moscow, Available from: (in Russian).
-
Savostyanov DV. Polilinear approximation of matrices and integral equations. Ph.D. Thesis, INM RAS, Moscow, 2006. Available from: (in Russian).
-
(2006)
-
-
Savostyanov, D.V.1
-
7
-
-
11044224123
-
Multiresolution quantum chemistry: basic theory and initial applications
-
DOI: 10.1063/1.1791051.
-
Beylkin G, Fann G, Gan Z, Harrison R, Yanai T. Multiresolution quantum chemistry: basic theory and initial applications. Journal of Chemical Physics 2004; 121(23):11587-11598. DOI: 10.1063/1.1791051.
-
(2004)
Journal of Chemical Physics
, vol.121
, Issue.23
, pp. 11587-11598
-
-
Beylkin, G.1
Fann, G.2
Gan, Z.3
Harrison, R.4
Yanai, T.5
-
8
-
-
34548429273
-
Tensor product approximation with optimal rank in quantum chemistry
-
DOI: 10.1063/1.2761871.
-
Chinnamsetty SR, Espig M, Hackbusch W, Khoromskij BN, Flad HJ. Tensor product approximation with optimal rank in quantum chemistry. Journal of Chemical Physics 2007; 127:84-110. DOI: 10.1063/1.2761871.
-
(2007)
Journal of Chemical Physics
, vol.127
, pp. 84-110
-
-
Chinnamsetty, S.R.1
Espig, M.2
Hackbusch, W.3
Khoromskij, B.N.4
Flad, H.J.5
-
9
-
-
51849098159
-
Verification of the cross 3D algorithm on quantum chemistry data
-
DOI: 10.1515/RJNAMM.2008.020.
-
Flad HJ, Khoromskij BN, Savostyanov DV, Tyrtyshnikov EE. Verification of the cross 3D algorithm on quantum chemistry data. Russian Journal of Numerical Analysis and Mathematical Modelling 2008; 23(4):329-344. DOI: 10.1515/RJNAMM.2008.020.
-
(2008)
Russian Journal of Numerical Analysis and Mathematical Modelling
, vol.23
, Issue.4
, pp. 329-344
-
-
Flad, H.J.1
Khoromskij, B.N.2
Savostyanov, D.V.3
Tyrtyshnikov, E.E.4
-
10
-
-
47849118953
-
On tensor approximation of Green iterations for Kohn-Sham equations
-
DOI: 10.1007/s00791-008-0097-x.
-
Khoromskij BN. On tensor approximation of Green iterations for Kohn-Sham equations. Computing and Visualization in Science 2008; 11(4-6):259-271. DOI: 10.1007/s00791-008-0097-x.
-
(2008)
Computing and Visualization in Science
, vol.11
, Issue.4-6
, pp. 259-271
-
-
Khoromskij, B.N.1
-
11
-
-
67649378419
-
Tensor decomposition in electronic structure calculations on 3D Cartesian grids
-
DOI: 10.1016/j.jcp.2009.04.043
-
Chinnamsetty SR, Flad HJ, Khoromskaia V, Khoromskij BN. Tensor decomposition in electronic structure calculations on 3D Cartesian grids. Journal of Computational Physics 2009; 228(16):5749-5762. DOI: 10.1016/j.jcp.2009.04.043.
-
(2009)
Journal of Computational Physics
, vol.228
, Issue.16
, pp. 5749-5762
-
-
Chinnamsetty, S.R.1
Flad, H.J.2
Khoromskaia, V.3
Khoromskij, B.N.4
-
12
-
-
84897586218
-
Multigrid accelerated tensor approximation of function related multidimensional arrays
-
DOI: 10.1137/080730408.
-
Khoromskij BN, Khoromskaia V. Multigrid accelerated tensor approximation of function related multidimensional arrays. SIAM Journal on Scientific Computing 2009; 31(4):3002-3026. DOI: 10.1137/080730408.
-
(2009)
SIAM Journal on Scientific Computing
, vol.31
, Issue.4
, pp. 3002-3026
-
-
Khoromskij, B.N.1
Khoromskaia, V.2
-
13
-
-
78649662406
-
-
Fast and accurate tensor approximation of multivariate convolution with linear scaling in dimension. Preprint 36, MIS MPI, Available from
-
Khoromskij BN. Fast and accurate tensor approximation of multivariate convolution with linear scaling in dimension. Preprint 36, MIS MPI, 2008. Available from:
-
(2008)
-
-
Khoromskij, B.N.1
-
14
-
-
0038805356
-
Incomplete cross approximation in the mosaic-skeleton method
-
DOI: 10.1007/s006070070031.
-
Tyrtyshnikov EE. Incomplete cross approximation in the mosaic-skeleton method. Computing 2000; 64(4):367-380. DOI: 10.1007/s006070070031.
-
(2000)
Computing
, vol.64
, Issue.4
, pp. 367-380
-
-
Tyrtyshnikov, E.E.1
-
15
-
-
0037790752
-
The maximal-volume concept in approximation by low-rank matrices
-
Goreinov SA, Tyrtyshnikov EE. The maximal-volume concept in approximation by low-rank matrices. Contemporary Mathematics 2001; 208:47-51.
-
(2001)
Contemporary Mathematics
, vol.208
, pp. 47-51
-
-
Goreinov, S.A.1
Tyrtyshnikov, E.E.2
-
17
-
-
85162707890
-
The expression of a tensor or a polyadic as a sum of products
-
Hitchcock FL. The expression of a tensor or a polyadic as a sum of products. Journal of Mathematical Physics 1927; 6(1):164-189.
-
(1927)
Journal of Mathematical Physics
, vol.6
, Issue.1
, pp. 164-189
-
-
Hitchcock, F.L.1
-
18
-
-
34250499792
-
Analysis of individual differences in multidimensional scaling via n-way generalization of Eckart-Young decomposition
-
Caroll JD, Chang JJ. Analysis of individual differences in multidimensional scaling via n-way generalization of Eckart-Young decomposition. Psychometrika 1970; 35:283-319.
-
(1970)
Psychometrika
, vol.35
, pp. 283-319
-
-
Caroll, J.D.1
Chang, J.J.2
-
19
-
-
0002740437
-
-
Foundations of the Parafac procedure: models and conditions for an explanatory multimodal factor analysis. UCLA Working Papers in Phonetics
-
Harshman RA. Foundations of the Parafac procedure: models and conditions for an explanatory multimodal factor analysis. UCLA Working Papers in Phonetics 1970; 16:1-84.
-
(1970)
, vol.16
, pp. 1-84
-
-
Harshman, R.A.1
-
20
-
-
55349142218
-
Tensor rank and the ill-posedness of the best low-rank approximation problem
-
DOI: 10.1137/06066518x.
-
de Silva V, Lim L. Tensor rank and the ill-posedness of the best low-rank approximation problem. SIAM Journal on Matrix Analysis and Applications 2008; 30(3):1084-1127. DOI: 10.1137/06066518x.
-
(2008)
SIAM Journal on Matrix Analysis and Applications
, vol.30
, Issue.3
, pp. 1084-1127
-
-
de Silva, V.1
Lim, L.2
-
21
-
-
0013953617
-
Some mathematical notes on three-mode factor analysis
-
Tucker LR. Some mathematical notes on three-mode factor analysis. Psychometrika 1966; 31:279-311.
-
(1966)
Psychometrika
, vol.31
, pp. 279-311
-
-
Tucker, L.R.1
-
23
-
-
0011680262
-
-
Pseudo-skeleton approximations of matrices. Reports of Russian Academy of Sciences
-
Goreinov SA, Tyrtyshnikov EE, Zamarashkin NL. Pseudo-skeleton approximations of matrices. Reports of Russian Academy of Sciences 1995; 342(2):151-152.
-
(1995)
, vol.342
, Issue.2
, pp. 151-152
-
-
Goreinov, S.A.1
Tyrtyshnikov, E.E.2
Zamarashkin, N.L.3
-
25
-
-
78649662174
-
-
How to find a good submatrix. Research Report 08-10, ICM HKBU, Kowloon Tong, Hong Kong, Available from: .
-
Goreinov SA, Oseledets IV, Savostyanov DV, Tyrtyshnikov EE, Zamarashkin NL. How to find a good submatrix. Research Report 08-10, ICM HKBU, Kowloon Tong, Hong Kong, 2008. Available from:
-
(2008)
-
-
Goreinov, S.A.1
Oseledets, I.V.2
Savostyanov, D.V.3
Tyrtyshnikov, E.E.4
Zamarashkin, N.L.5
-
26
-
-
0004236492
-
Matrix Computations
-
Johns Hopkins University Press: Baltimore, MD,
-
Golub G, Van Loan C. Matrix Computations. Johns Hopkins University Press: Baltimore, MD, 1996.
-
(1996)
-
-
Golub, G.1
Van Loan, C.2
-
27
-
-
68149178489
-
Linear algebra for tensor problems
-
DOI: 10.1007/s00607-009-0047-6.
-
Oseledets IV, Savostyanov DV, Tyrtyshnikov EE. Linear algebra for tensor problems. Computing 2009; 85(3):169-188. DOI: 10.1007/s00607-009-0047-6.
-
(2009)
Computing
, vol.85
, Issue.3
, pp. 169-188
-
-
Oseledets, I.V.1
Savostyanov, D.V.2
Tyrtyshnikov, E.E.3
-
28
-
-
5844381624
-
Approximation of boundary element matrices
-
DOI: 10.1007/pl00005410.
-
Bebendorf M. Approximation of boundary element matrices. Numerische Mathematik 2000; 86(4):565-589. DOI: 10.1007/pl00005410.
-
(2000)
Numerische Mathematik
, vol.86
, Issue.4
, pp. 565-589
-
-
Bebendorf, M.1
-
29
-
-
2942606241
-
Combining Kronecker product approximation with discrete wavelet transforms to solve dense, function-related systems
-
DOI: 10.1137/s1064827503421689.
-
Ford JM, Tyrtyshnikov EE. Combining Kronecker product approximation with discrete wavelet transforms to solve dense, function-related systems. SIAM Journal on Scientific Computing 2003; 25(3):961-981. DOI: 10.1137/s1064827503421689.
-
(2003)
SIAM Journal on Scientific Computing
, vol.25
, Issue.3
, pp. 961-981
-
-
Ford, J.M.1
Tyrtyshnikov, E.E.2
-
30
-
-
78649684489
-
Fast revealing of mode ranks of tensor in canonical formal
-
DOI: 10.4208/nmtma.2009.m9006s.
-
Savostyanov DV. Fast revealing of mode ranks of tensor in canonical formal. Numerical Mathematics: Theory, Methods and Applications 2009; 2(4):439-444. DOI: 10.4208/nmtma.2009.m9006s.
-
(2009)
Numerical Mathematics: Theory, Methods and Applications
, vol.2
, Issue.4
, pp. 439-444
-
-
Savostyanov, D.V.1
-
31
-
-
47049085255
-
On cross approximation of multi-index array
-
DOI: 10.1134/s106456240803023x.
-
Goreinov SA. On cross approximation of multi-index array. Doklady: Mathematics 2008; 420(4):404-406. DOI: 10.1134/s106456240803023x.
-
(2008)
Doklady: Mathematics
, vol.420
, Issue.4
, pp. 404-406
-
-
Goreinov, S.A.1
-
32
-
-
78649638507
-
-
Use of tensor formats in elliptic eigenvalue problems. Preprint 78, MIS MPI, Leipzig, Available from: .
-
Hackbusch W, Khoromskij BN, Sauter SA, Tyrtyshnikov EE. Use of tensor formats in elliptic eigenvalue problems. Preprint 78, MIS MPI, Leipzig, 2008. Available from:
-
(2008)
-
-
Hackbusch, W.1
Khoromskij, B.N.2
Sauter, S.A.3
Tyrtyshnikov, E.E.4
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