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Volumn 47, Issue , 2015, Pages 107-125

A geometric perspective on the singular value decomposition

Author keywords

Singular value decomposition; Tensor

Indexed keywords


EID: 85029542729     PISSN: 00494704     EISSN: None     Source Type: Journal    
DOI: 10.13137/0049-4704/11222     Document Type: Article
Times cited : (26)

References (13)
  • 1
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    • Euclidean distance degrees of real algebraic groups
    • J. Baaijens and J. Draisma, Euclidean distance degrees of real algebraic groups, Linear Algebra Appl. 467 (2015), 174-187.
    • (2015) Linear Algebra Appl , vol.467 , pp. 174-187
    • Baaijens, J.1    Draisma, J.2
  • 2
    • 84869422694 scopus 로고    scopus 로고
    • The number of eigenvectors of a tensor
    • D. Cartwright and B. Sturmfels, The number of eigenvectors of a tensor, Linear Algebra Appl. 438 (2013), 942-952.
    • (2013) Linear Algebra Appl. , vol.438 , pp. 942-952
    • Cartwright, D.1    Sturmfels, B.2
  • 4
    • 0034144761 scopus 로고    scopus 로고
    • On the best rank-1 and rank-(r1, r2,....rd) approximation of higher order tensors
    • L. De Lathauwer, B. De Moor, and J. Vandewalle, On the best rank-1 and rank-(r1, r2,....rd) approximation of higher order tensors, SIAM J. Matrix Anal. Appl. 21 (2000), 1324-1342.
    • (2000) SIAM J. Matrix Anal. Appl. , vol.21 , pp. 1324-1342
    • De Lathauwer, L.1    De Moor, B.2    Vandewalle, J.3
  • 6
    • 84911945968 scopus 로고    scopus 로고
    • The number of singular vector tuples and uniqueness of best rank one approximation of tensors
    • S. Friedland and G. Ottaviani, The number of singular vector tuples and uniqueness of best rank one approximation of tensors, Found. Comput. Math. 14 (2014), 1209-1242.
    • (2014) Found. Comput. Math. , vol.14 , pp. 1209-1242
    • Friedland, S.1    Ottaviani, G.2
  • 9
    • 84863847448 scopus 로고    scopus 로고
    • Graduate Studies in Mathematics, no. 128, Birkhäuser, Providence
    • J.M. Landsberg, Tensors: Geometry and applications, Graduate Studies in Mathematics, no. 128, Birkhäuser, Providence, 2012.
    • (2012) Tensors: Geometry and applications
    • Landsberg, J.M.1
  • 11
    • 33750335770 scopus 로고    scopus 로고
    • Eigenvalues and invariants of tensors
    • L. Qi, Eigenvalues and invariants of tensors, J. Math. Anal. Appl. 325 (2007), 1363-1377.
    • (2007) J. Math. Anal. Appl , vol.325 , pp. 1363-1377
    • Qi, L.1
  • 12
    • 0027879547 scopus 로고
    • On the early history of the singular value decomposition
    • G.W. Stewart, On the early history of the singular value decomposition, SIAM Review 35 (1993), no. 4, 551-566.
    • (1993) SIAM Review , vol.35 , Issue.4 , pp. 551-566
    • Stewart, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.