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Volumn 42, Issue 1, 2006, Pages 31-61

Using cross-product matrices to compute the SVD

Author keywords

Cross product matrix; Eigenvalue; Eigenvector; Finite precision arithmetic; Rayleigh quotient; Singular value; Singular vector; SVD

Indexed keywords


EID: 33745746510     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-006-9022-x     Document Type: Article
Times cited : (22)

References (14)
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    • Jia, Z.: Composite orthogonal projection methods for large matrix eigenproblems. Sci. China, Ser. A 42, 577-585 (1999)
    • (1999) Sci. China, Ser. A , vol.42 , pp. 577-585
    • Jia, Z.1
  • 7
    • 0033888047 scopus 로고    scopus 로고
    • A refined subspace iteration algorithm for large sparse eigenproblems
    • Jia, Z.: A refined subspace iteration algorithm for large sparse eigenproblems. Appl. Numer. Math. 32, 35-52 (2000)
    • (2000) Appl. Numer. Math. , vol.32 , pp. 35-52
    • Jia, Z.1
  • 8
    • 0035313102 scopus 로고    scopus 로고
    • On residuals of refined projection methods for large matrix eigenproblems
    • Jia, Z.: On residuals of refined projection methods for large matrix eigenproblems. Comput. Math. Appl. 41(7/8), 813-820 (2001)
    • (2001) Comput. Math. Appl. , vol.41 , Issue.7-8 , pp. 813-820
    • Jia, Z.1
  • 9
    • 0035531373 scopus 로고    scopus 로고
    • An analysis of the Rayleigh-Ritz method for approximating eigenspaces
    • Jia, Z., Stewart, G.W.: An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Math. Comput. 70, 637-647 (2001)
    • (2001) Math. Comput. , vol.70 , pp. 637-647
    • Jia, Z.1    Stewart, G.W.2
  • 11
    • 33745758405 scopus 로고    scopus 로고
    • On orthogonalization in the inverse power method
    • Department of Computer Science, University of Maryland, College Park
    • Stewart, G.W.: On orthogonalization in the inverse power method, TR-4071, Department of Computer Science, University of Maryland, College Park (1999)
    • (1999) TR-4071
    • Stewart, G.W.1
  • 14
    • 1342299960 scopus 로고    scopus 로고
    • Computational methods for large Eigenvalue problems
    • Ciarlet, P.O., Lions, J.L. (eds.) North-Holland (Elsevier), Amsterdam
    • van der Vorst, H.A.: Computational methods for large Eigenvalue problems. In: Ciarlet, P.O., Lions, J.L. (eds.) Handbook of Numerical Analysis, vol. VIII, pp. 3-179. North-Holland (Elsevier), Amsterdam (2002)
    • (2002) Handbook of Numerical Analysis , vol.8 , pp. 3-179
    • Van Der Vorst, H.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.