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Volumn 34, Issue 3, 2011, Pages 371-391

Regularity of Tensor Product Approximations to Square Integrable Functions

Author keywords

Low rank approximation; Optimal subspace approximation; Sobolev spaces; Tensor products

Indexed keywords


EID: 80255141742     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/s00365-010-9125-4     Document Type: Article
Times cited : (13)

References (15)
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  • 7
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    • Tensor decompositions and applications
    • Kolda, T. G., Bader, B. W.: Tensor decompositions and applications. SIAM Rev. 51(3), 455-500 (2009).
    • (2009) SIAM Rev. , vol.51 , Issue.3 , pp. 455-500
    • Kolda, T.G.1    Bader, B.W.2
  • 9
    • 85012263413 scopus 로고
    • A general approach for multiconfiguration methods in quantum molecular chemistry
    • Le Bris, C.: A general approach for multiconfiguration methods in quantum molecular chemistry. Ann. Inst. H. Poincaré 11, 441-484 (1994).
    • (1994) Ann. Inst. H. Poincaré , vol.11 , pp. 441-484
    • Le Bris, C.1
  • 10
    • 0742306186 scopus 로고    scopus 로고
    • Solutions of the multiconfiguration equations in quantum chemistry
    • Lewin, M.: Solutions of the multiconfiguration equations in quantum chemistry. Arch. Ration. Mech. Anal. 171, 83-114 (2004).
    • (2004) Arch. Ration. Mech. Anal. , vol.171 , pp. 83-114
    • Lewin, M.1
  • 11
    • 55349142218 scopus 로고    scopus 로고
    • Tensor rank and the ill-posedness of the best low-rank approximation problem
    • De Silva, V., Lim, L.-H.: Tensor rank and the ill-posedness of the best low-rank approximation problem. SIAM J. Matrix Anal. Appl. 30(3), 1084-1127 (2008).
    • (2008) SIAM J. Matrix Anal. Appl. , vol.30 , Issue.3 , pp. 1084-1127
    • de Silva, V.1    Lim, L.-H.2
  • 12
    • 77952805216 scopus 로고    scopus 로고
    • Preservation of linear constraints in approximation of tensors
    • Tyrtyshnikov, E.: Preservation of linear constraints in approximation of tensors. Numer. Math. Theory Methods Appl. 2(4), 421-426 (2009).
    • (2009) Numer. Math. Theory Methods Appl. , vol.2 , Issue.4 , pp. 421-426
    • Tyrtyshnikov, E.1
  • 13
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    • Well-posedness of convex maximization problems on Stiefel manifolds and orthogonal tensor product approximations
    • Uschmajew, A.: Well-posedness of convex maximization problems on Stiefel manifolds and orthogonal tensor product approximations. Numer. Math. 115(2), 309-331 (2010).
    • (2010) Numer. Math. , vol.115 , Issue.2 , pp. 309-331
    • Uschmajew, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.