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Volumn 14, Issue 3, 2011, Pages 105-115

Generalized Cross Approximation for 3d-tensors

Author keywords

Adaptive Cross Approximation; Maximum norm; Pivot strategy; Tensor decompositon

Indexed keywords

ADAPTIVE CROSS APPROXIMATION; EXPLICIT FORMULA; INTERPOLATION PROPERTIES; MATRIX; MAXIMUM NORM; PIVOT STRATEGY; TENSOR DECOMPOSITION;

EID: 84855947203     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s00791-011-0166-4     Document Type: Article
Times cited : (6)

References (11)
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  • 3
    • 70449522299 scopus 로고    scopus 로고
    • Black box low tensorrank approximation using fiber-crosses
    • Espig, M., Grasedyck, L., Hackbusch, W.: Black box low tensorrank approximation using fiber-crosses. Constr. Approx. 30, 557-597(2009)
    • (2009) Constr. Approx. , vol.30 , pp. 557-597
    • Espig, M.1    Grasedyck, L.2    Hackbusch, W.3
  • 5
    • 77952289640 scopus 로고    scopus 로고
    • A new scheme for the tensor representation
    • Hackbusch, W., Kühn, S.: A new scheme for the tensor representation. J. Fourier Anal. Appl. 15(5), 706-722(2009)
    • (2009) J. Fourier Anal. Appl. , vol.15 , Issue.5 , pp. 706-722
    • Hackbusch, W.1    Kühn, S.2
  • 7
    • 84897586218 scopus 로고    scopus 로고
    • Multigrid tensor approximation of function related tensors
    • Khoromskij, B. N., Khoromskaia, V.: Multigrid tensor approximation of function related tensors. SIAM J. Sci. Comput. 31(4), 3002-3026(2009)
    • (2009) SIAM J. Sci. Comput. , vol.31 , Issue.4 , pp. 3002-3026
    • Khoromskij, B.N.1    Khoromskaia, V.2
  • 8
    • 68649096448 scopus 로고    scopus 로고
    • Tensor decomposition and applications
    • Kolda, T. G., Badar, B. W.: Tensor decomposition and applications. SIAM Review 51(3), 455-500(2009)
    • (2009) SIAM Review , vol.51 , Issue.3 , pp. 455-500
    • Kolda, T.G.1    Badar, B.W.2
  • 9
    • 51849118006 scopus 로고    scopus 로고
    • Tucker dimensionality reduction of three-dimensional arrays in lienar time
    • Oseledets, I. V., Savostianov, D. V., Tyrtyshnikov, E. E.: Tucker dimensionality reduction of three-dimensional arrays in lienar time. SIAM J. Matrix Anal. Appl. 30(3), 939-956(2008)
    • (2008) SIAM J. Matrix Anal. Appl. , vol.30 , Issue.3 , pp. 939-956
    • Oseledets, I.V.1    Savostianov, D.V.2    Tyrtyshnikov, E.E.3
  • 10
    • 70449525345 scopus 로고    scopus 로고
    • TT-Cross approximation for multidimensional arrays
    • Oseledets, I. V, Tyrtyshnikov, E. E.: TT-Cross approximation for multidimensional arrays. Linear Algebra Appl. 432(1), 70-88(2010)
    • (2010) Linear Algebra Appl. , vol.432 , Issue.1 , pp. 70-88
    • Oseledets, I.V.1    Tyrtyshnikov, E.E.2
  • 11
    • 77956615531 scopus 로고    scopus 로고
    • Error estimates for two-dimensional cross approximation
    • Schneider, J.: Error estimates for two-dimensional cross approximation. J. Approx. Theory 162(9), 1685-1700(2010)
    • (2010) J. Approx. Theory , vol.162 , Issue.9 , pp. 1685-1700
    • Schneider, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.