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Volumn 19, Issue 4, 1998, Pages 847-860

On hyperbolic triangularization: Stability and pivoting

Author keywords

Hyperbolic transformation; Pivoting; Relational stability; Triangularization

Indexed keywords


EID: 0032339289     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479897319581     Document Type: Article
Times cited : (24)

References (18)
  • 1
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  • 5
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    • Stability analysis of a Householder-based algorithm for downdating the Cholesky factorization
    • A. W. BOJANCZYK AND A. O. STEINHARDT, Stability analysis of a Householder-based algorithm for downdating the Cholesky factorization, SIAM J. Sci. Statist. Comput., 12 (1991), pp. 1255-1265.
    • (1991) SIAM J. Sci. Statist. Comput. , vol.12 , pp. 1255-1265
    • Bojanczyk, A.W.1    Steinhardt, A.O.2
  • 7
    • 0009153083 scopus 로고
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    • G. CYBENKO AND M. BERRY, Hyperbolic Householder algorithms for factoring structured matrices, SIAM J. Matrix Anal. Appl., 11 (1990), pp. 499-520.
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    • Cybenko, G.1    Berry, M.2
  • 9
    • 4243363820 scopus 로고
    • Block downdating of least squares solutions
    • L. ELDÉN AND H. PARK, Block downdating of least squares solutions, SIAM J. Matrix Anal. Appl., 15 (1992), pp. 1018-1034.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 1018-1034
    • Eldén, L.1    Park, H.2
  • 10
    • 0041198797 scopus 로고
    • Matrix decompositions and statistical computation
    • R. C. Milton and J. A. Nelder, eds., Academic Press, New York
    • G. H. GOLUB, Matrix decompositions and statistical computation, in Statistical Computation, R. C. Milton and J. A. Nelder, eds., Academic Press, New York, 1969, pp. 365-397.
    • (1969) Statistical Computation , pp. 365-397
    • Golub, G.H.1
  • 14
    • 0000357868 scopus 로고
    • Hyperbolic Householder transforms
    • Cited in [3]
    • C. RADER AND A. STEINHARDT, Hyperbolic Householder transforms, SIAM J. Matrix Anal. Appl., 9 (1988), pp. 269-290. Cited in [3].
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    • Rader, C.1    Steinhardt, A.2
  • 16
    • 0004134415 scopus 로고
    • Large-scale linear programming using the Cholesky factorization
    • Computer Science Department, Stanford University, Stanford, CA. Cited in [3]
    • M. A. SAUNDERS, Large-scale Linear Programming Using the Cholesky Factorization, Technical Report CS252, Computer Science Department, Stanford University, Stanford, CA, 1972. Cited in [3].
    • (1972) Technical Report CS252
    • Saunders, M.A.1
  • 17
    • 0000672950 scopus 로고
    • The effects of rounding error on an algorithm for downdating a Cholesky factorization
    • G. W. STEWART, The effects of rounding error on an algorithm for downdating a Cholesky factorization, J. Inst. Math. Appl., 23 (1979), pp. 203-213.
    • (1979) J. Inst. Math. Appl. , vol.23 , pp. 203-213
    • Stewart, G.W.1
  • 18
    • 0029408765 scopus 로고
    • On the stability of sequential updates and downdates
    • G. W. STEWART, On the stability of sequential updates and downdates, IEEE Trans. Signal Process., 43 (1995), pp. 1643-1648.
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    • Stewart, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.