메뉴 건너뛰기




Volumn 466, Issue , 2015, Pages 27-37

Semi-nonnegative rank for real matrices and its connection to the usual rank

Author keywords

Convex hull; K means clustering; Nonnegative matrix; Usual rank

Indexed keywords

CONVEX HULL; K-MEANS CLUSTERING; NON NEGATIVES; NON-NEGATIVE MATRIX; REAL MATRICES; USUAL RANK;

EID: 84908222641     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2014.09.046     Document Type: Article
Times cited : (1)

References (17)
  • 1
    • 70349789922 scopus 로고    scopus 로고
    • Real rank versus nonnegative rank
    • L.B. Beasley, and T.J. Laffey Real rank versus nonnegative rank Linear Algebra Appl. 432 12 2009 2330 2335
    • (2009) Linear Algebra Appl. , vol.432 , Issue.12 , pp. 2330-2335
    • Beasley, L.B.1    Laffey, T.J.2
  • 4
    • 0029543087 scopus 로고
    • A rank-one reduction formula and its applications to matrix factorizations
    • M.T. Chu, R.E. Funderlik, and G.H. Golub A rank-one reduction formula and its applications to matrix factorizations SIAM Rev. 37 1995 512 530
    • (1995) SIAM Rev. , vol.37 , pp. 512-530
    • Chu, M.T.1    Funderlik, R.E.2    Golub, G.H.3
  • 5
    • 9244259543 scopus 로고
    • Nonnegative ranks, decompositions, and factorizations of nonnegative matrices
    • J.E. Cohen, and U.G. Rothblum Nonnegative ranks, decompositions, and factorizations of nonnegative matrices Linear Algebra Appl. 190 1993 149 168
    • (1993) Linear Algebra Appl. , vol.190 , pp. 149-168
    • Cohen, J.E.1    Rothblum, U.G.2
  • 7
    • 33749255098 scopus 로고    scopus 로고
    • On the equivalence of nonnegative matrix factorization and spectral clustering
    • C. Ding, X. He, and H.D. Simon On the equivalence of nonnegative matrix factorization and spectral clustering Proc. SIAM Data Mining Conf. 2005
    • (2005) Proc. SIAM Data Mining Conf.
    • Ding, C.1    He, X.2    Simon, H.D.3
  • 8
    • 84865687533 scopus 로고    scopus 로고
    • On the geometric interpretation of the nonnegative rank
    • N. Gillis, and F. Glineur On the geometric interpretation of the nonnegative rank Linear Algebra Appl. 437 11 2012 2685 2712
    • (2012) Linear Algebra Appl. , vol.437 , Issue.11 , pp. 2685-2712
    • Gillis, N.1    Glineur, F.2
  • 9
    • 0004236492 scopus 로고    scopus 로고
    • Johns Hopkins University Press Baltimore, MD, USA
    • G. Golub, and C. Van Loan Matrix Computations 1996 Johns Hopkins University Press Baltimore, MD, USA
    • (1996) Matrix Computations
    • Golub, G.1    Van Loan, C.2
  • 11
    • 77950369345 scopus 로고    scopus 로고
    • Data clustering: 50 years beyond K-means
    • A.K. Jain Data clustering: 50 years beyond K-means Pattern Recogn. Lett. 31 8 2010 651 666
    • (2010) Pattern Recogn. Lett. , vol.31 , Issue.8 , pp. 651-666
    • Jain, A.K.1
  • 13
    • 0033592606 scopus 로고    scopus 로고
    • Learning the parts of objects by non-negative matrix factorization
    • D. Lee, and H. Seung Learning the parts of objects by non-negative matrix factorization Nature 401 6755 1999 788 791
    • (1999) Nature , vol.401 , Issue.6755 , pp. 788-791
    • Lee, D.1    Seung, H.2
  • 15
    • 25844488029 scopus 로고    scopus 로고
    • Document clustering using nonnegative matrix factorization
    • F. Shahnaz, M. Berry, V. Pauca, and R. Plemmons Document clustering using nonnegative matrix factorization Inf. Process. Manag. 42 2 2006 373 386
    • (2006) Inf. Process. Manag. , vol.42 , Issue.2 , pp. 373-386
    • Shahnaz, F.1    Berry, M.2    Pauca, V.3    Plemmons, R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.