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Volumn 19, Issue 2, 1998, Pages 551-555

The relation between the QR and LR algorithms

Author keywords

Cholesky factorization; LR algorithm; QR algorithm; Triangular factorization

Indexed keywords


EID: 0032386150     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479896299937     Document Type: Article
Times cited : (7)

References (10)
  • 2
    • 0000394782 scopus 로고
    • The QR transformation: A unitary analogue to the LR transformation
    • J. G. F. FRANCIS, The QR transformation: A unitary analogue to the LR transformation, Parts I and II, Comput. J., 4 (1961), pp. 265-272 and pp. 332-345.
    • (1961) Comput. J. , vol.4 , Issue.1-2 PARTS , pp. 265-272
    • Francis, J.G.F.1
  • 5
    • 0001390707 scopus 로고
    • On some algorithms for the solution of the complete eigenvalue problem
    • V. N. KUBLANOVSKAYA, On some algorithms for the solution of the complete eigenvalue problem, U.S.S.R. Comput. Math, and Math. Phys., 3 (1961), pp. 637-657.
    • (1961) U.S.S.R. Comput. Math, and Math. Phys. , vol.3 , pp. 637-657
    • Kublanovskaya, V.N.1
  • 7
    • 0002392285 scopus 로고
    • Solution of eigenvalue problems with the LR transformation
    • H. RUTISHAUSER, Solution of eigenvalue problems with the LR transformation, Nat. Bur. Standards Appl. Math. Ser., 49 (1958), pp. 47-81.
    • (1958) Nat. Bur. Standards Appl. Math. Ser. , vol.49 , pp. 47-81
    • Rutishauser, H.1
  • 8
    • 0001300294 scopus 로고
    • Understanding the QR algorithm
    • D. S. WATKINS, Understanding the QR algorithm, SIAM Rev., 24 (1982), pp. 427-440.
    • (1982) SIAM Rev. , vol.24 , pp. 427-440
    • Watkins, D.S.1
  • 10
    • 0002732714 scopus 로고
    • Convergence of algorithms of decomposition type for the eigenvalue problem
    • D. S. WATKINS AND L. ELSNER, Convergence of algorithms of decomposition type for the eigenvalue problem, Linear Algebra Appl., 143 (1991), pp. 19-47.
    • (1991) Linear Algebra Appl. , vol.143 , pp. 19-47
    • Watkins, D.S.1    Elsner, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.