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Volumn 18, Issue , 2004, Pages 198-208

LDU decompositions with L and U well conditioned

Author keywords

Accuracy; Conditioning; Diagonal dominance; Pivoting strategies; Singular value decomposition

Indexed keywords


EID: 22744447467     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (23)

References (16)
  • 1
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    • A stable method for the LU factorization of M-matrices
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    • (1986) SIAM J. Alg. Disc. Math. , vol.7 , pp. 368-378
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  • 2
    • 0036002579 scopus 로고    scopus 로고
    • Entrywise perturbation theory for diagonally dominant M-matrices with applications
    • A. S. ALFA, J. XUE AND Q. YE, Entrywise perturbation theory for diagonally dominant M-matrices with applications, Numer. Math., 90 (1999), pp. 401-414.
    • (1999) Numer. Math. , vol.90 , pp. 401-414
    • Alfa, A.S.1    Xue, J.2    Ye, Q.3
  • 5
    • 3542992672 scopus 로고    scopus 로고
    • Accurate SVDs of weakly diagonally dominant M-matrices
    • J. DEMMEL AND P. KOEV, Accurate SVDs of weakly diagonally dominant M-matrices, Numer. Math., 98 (2004), pp. 99-104.
    • (2004) Numer. Math. , vol.98 , pp. 99-104
    • Demmel, J.1    Koev, P.2
  • 7
    • 0031268977 scopus 로고    scopus 로고
    • The growth factor and efficiency of Gaussian elimination with rook pivoting
    • L. V FOSTER, The growth factor and efficiency of Gaussian elimination with rook pivoting, Journal of Computational and Applied Mathematics, 86 (1997), pp. 177-194.
    • (1997) Journal of Computational and Applied Mathematics , vol.86 , pp. 177-194
    • Foster, L.V.1
  • 10
    • 0012063364 scopus 로고    scopus 로고
    • A note on the stability of Gauss-Jordan elimination for diagonally dominant matrices
    • A.N. MALYSHEV, A note on the stability of Gauss-Jordan elimination for diagonally dominant matrices, Computing, 65 (2000), pp. 281-284.
    • (2000) Computing , vol.65 , pp. 281-284
    • Malyshev, A.N.1
  • 12
    • 0040581645 scopus 로고    scopus 로고
    • Pivoting strategies leading to diagonal dominance by rows
    • J.M. PEÑA, Pivoting strategies leading to diagonal dominance by rows, Numer. Math., 81 (1998), pp. 293-304.
    • (1998) Numer. Math. , vol.81 , pp. 293-304
    • Peña, J.M.1
  • 13
    • 3142677156 scopus 로고    scopus 로고
    • Scaled pivots and scaled partial pivoting strategies
    • J.M. PEÑA, Scaled pivots and scaled partial pivoting strategies, SIAM J. Numer. Anal., 41 (2003), pp. 1022-1031.
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 1022-1031
    • Peña, J.M.1
  • 14
    • 0142055265 scopus 로고    scopus 로고
    • Simultaneous backward stability of Gauss and Gauss-Jordan elimination
    • J.M. PEÑA, Simultaneous backward stability of Gauss and Gauss-Jordan elimination, Numer. Linear Alg. Appl., 10 (2003), pp. 317-321.
    • (2003) Numer. Linear Alg. Appl. , vol.10 , pp. 317-321
    • Peña, J.M.1
  • 16
    • 84945709312 scopus 로고
    • Error analysis of direct methods of matrix inversion
    • J.H. WILKINSON, Error analysis of direct methods of matrix inversion, J. Assoc. Comp. Mach., 8 (1961), pp. 281-330.
    • (1961) J. Assoc. Comp. Mach. , vol.8 , pp. 281-330
    • Wilkinson, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.