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Volumn 287, Issue 1-3, 1999, Pages 181-189

Stability of block LDLT factorization of a symmetric tridiagonal matrix

Author keywords

Diagonal pivoting method; Growth factor; LAPACK; LDLT factorization; LINPACK; Numerical stability; Rounding error analysis; Symmetric indefinite matrix; Tridiagonal matrix

Indexed keywords


EID: 0040814438     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(98)10074-5     Document Type: Article
Times cited : (19)

References (10)
  • 1
    • 0001287220 scopus 로고
    • On the reduction of a symmetric matrix to tridiagonal form
    • J.O. Aasen, On the reduction of a symmetric matrix to tridiagonal form, BIT 11 (1971) 233-242.
    • (1971) BIT , vol.11 , pp. 233-242
    • Aasen, J.O.1
  • 3
    • 0016072422 scopus 로고
    • Partial pivoting strategies for symmetric matrices
    • J.R. Bunch, Partial pivoting strategies for symmetric matrices, SIAM J. Numer. Anal. 11 (3) (1974) 521-528.
    • (1974) SIAM J. Numer. Anal. , vol.11 , Issue.3 , pp. 521-528
    • Bunch, J.R.1
  • 4
    • 84966228742 scopus 로고
    • Some stable methods for calculating inertia and solving symmetric linear systems
    • J.R. Bunch, L. Kaufman, Some stable methods for calculating inertia and solving symmetric linear systems, Math. Comp. 31 (137) (1977) 163-179.
    • (1977) Math. Comp. , vol.31 , Issue.137 , pp. 163-179
    • Bunch, J.R.1    Kaufman, L.2
  • 5
    • 0003424372 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, ISBN 0-89871-389-7
    • J.W. Demmel, Applied numerical linear algebra, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1997. xi+419 pp. ISBN 0-89871-389-7.
    • (1997) Applied Numerical Linear Algebra
    • Demmel, J.W.1
  • 7
    • 0003555195 scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, ISBN 0-89871-172-X
    • J.J. Dongarra, J.R. Bunch, C.B. Moler, G.W. Stewart, LINPACK users' guide, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1979. ISBN 0-89871-172-X.
    • (1979) LINPACK Users' Guide
    • Dongarra, J.J.1    Bunch, J.R.2    Moler, C.B.3    Stewart, G.W.4
  • 9
    • 0004060561 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, ISBN 0-89871-355-2
    • N.J. Higham, Accuracy and stability of numerical algorithms, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1996, xxviii+688 pp. ISBN 0-89871-355-2.
    • (1996) Accuracy and Stability of Numerical Algorithms
    • Higham, N.J.1
  • 10
    • 0031538118 scopus 로고    scopus 로고
    • Stability of the diagonal pivoting method with partial pivoting
    • N.J. Higham, Stability of the diagonal pivoting method with partial pivoting, SIAM J. Matrix Anal. Appl. 18 (1) (1997) 52-65.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , Issue.1 , pp. 52-65
    • Higham, N.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.