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Volumn 20, Issue 1, 2013, Pages 27-43

A projection method to solve linear systems in tensor format

Author keywords

High dimension; Kronecker product matrix; Linear system; Low rank; Tucker

Indexed keywords


EID: 84870908752     PISSN: 10705325     EISSN: 10991506     Source Type: Journal    
DOI: 10.1002/nla.1818     Document Type: Article
Times cited : (164)

References (17)
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  • 4
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    • Variational calculus with sums of elementary tensors of fixed rank. Technical Report 52, Max Planck Institute for Mathematics in the Sciences
    • Espig M, Hackbusch W, Rohwedder T, Schneider R. Variational calculus with sums of elementary tensors of fixed rank. Technical Report 52, Max Planck Institute for Mathematics in the Sciences, 2009.
    • (2009)
    • Espig, M.1    Hackbusch, W.2    Rohwedder, T.3    Schneider, R.4
  • 5
    • 77956045829 scopus 로고    scopus 로고
    • Krylov subspace methods for linear systems with tensor product structure
    • Kressner D, Tobler C. Krylov subspace methods for linear systems with tensor product structure. SIAM Journal on Matrix Analysis and Applications 2010; 31(4):1688-1714.
    • (2010) SIAM Journal on Matrix Analysis and Applications , vol.31 , Issue.4 , pp. 1688-1714
    • Kressner, D.1    Tobler, C.2
  • 6
    • 84870861875 scopus 로고    scopus 로고
    • Krylov subspace methods for tensor computations. Technical Report 2, Linköpings Universitet
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    • (2009)
    • Eldén, L.1    Savas, B.2
  • 12
    • 0000954680 scopus 로고
    • A flexible inner-outer preconditioned GMRES algorithm
    • Saad Y. A flexible inner-outer preconditioned GMRES algorithm. SIAM Journal on Scientific Computing 1993; 14(2):461-469.
    • (1993) SIAM Journal on Scientific Computing , vol.14 , Issue.2 , pp. 461-469
    • Saad, Y.1
  • 13
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    • Effiziente bestapproximation mittels summen von elementartensoren in hohen dimensionen. PhD thesis, Universität Leipzig
    • Espig M. Effiziente bestapproximation mittels summen von elementartensoren in hohen dimensionen. PhD thesis, Universität Leipzig, 2008.
    • (2008)
    • Espig, M.1
  • 17
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    • The alternating linear scheme for tensor optimisation in the TT format. Technical Report 71, DFG-Schwerpunktprogramm 1324
    • Holtz S, Rohwedder T, Schneider R. The alternating linear scheme for tensor optimisation in the TT format. Technical Report 71, DFG-Schwerpunktprogramm 1324, 2010.
    • (2010)
    • Holtz, S.1    Rohwedder, T.2    Schneider, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.