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Volumn 12, Issue 10, 2005, Pages 981-1000

Orthogonal similarity transformation into block-semiseparable matrices of semiseparability rank k

Author keywords

Block lanczos' algorithm; Block semiseparable matrix; Ritz values; Semiseparability rank k; Similarity transformation; Subspace iteration

Indexed keywords


EID: 30344461276     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.461     Document Type: Article
Times cited : (6)

References (17)
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    • Braun, M.1    Sofianos, S.A.2    Papageorgiou, D.G.3    Lagaris, I.E.4
  • 4
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    • Wall, M.E.1    Dyck, P.A.2    Brettin, T.S.3
  • 5
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    • Singular value decomposition and principal component analysis
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    • Wall ME, Rechtsteiner A, Rocha LM. Singular value decomposition and principal component analysis. In A Practical Approach to Microarray Data Analysis, Berrar DP, Dubitzky W, Granzow M (eds). Kluwer Academic Publishers: Dordrecht, 2003.
    • (2003) A Practical Approach to Microarray Data Analysis
    • Wall, M.E.1    Rechtsteiner, A.2    Rocha, L.M.3
  • 6
    • 0034800371 scopus 로고    scopus 로고
    • Principal component analysis for clustering gene expression data
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    • (2001) Bioinformatics , vol.17 , Issue.9 , pp. 763-774
    • Yeung, M.K.S.1    Ruzzo, W.L.2
  • 7
    • 0037197936 scopus 로고    scopus 로고
    • Reverse engineering gene networks using singular value decomposition and robust regression
    • Yeung MK.S, Tegnér J, Collins JJ. Reverse engineering gene networks using singular value decomposition and robust regression. PNAS 2002; 99:6163-6168.
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    • Yeung, M.K.S.1    Tegnér, J.2    Collins, J.J.3
  • 9
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    • A block Lanczos algorithm for computing the q algebraically largest eigenvalues and a corresponding eigenspace for large, sparse symmetric matrices
    • IEEE Press: New York
    • Cullum JK, Donath WE. A block Lanczos algorithm for computing the q algebraically largest eigenvalues and a corresponding eigenspace for large, sparse symmetric matrices. Proceedings of the 1974 IEEE Conference on Decision ami Control. IEEE Press: New York, 1974; 505-509.
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    • Cullum, J.K.1    Donath, W.E.2
  • 11
    • 0001707575 scopus 로고
    • The block Lanczos method for computing eigenvalues
    • Rice JR (ed.). Academic Press: New York
    • Golub GH, Underwood R. The block Lanczos method for computing eigenvalues. In Mathematical Software III, Rice JR (ed.). Academic Press: New York, 1977; 361-377.
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  • 12
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    • Implementation aspects of band Lanczos algorithms for computation of eigenvalues of large sparse symmetric matrices
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  • 16
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    • Convergence of algorithms of decomposition type for the eigenvalue problem
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.