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Volumn 17, Issue 8, 2004, Pages 903-907

A note on the stability of Toeplitz matrix inversion formulas

Author keywords

Forward stable; Inversion formulas; Stability; Toeplitz matrix

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; ERROR ANALYSIS; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 7444255532     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2003.11.002     Document Type: Article
Times cited : (10)

References (10)
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    • Chan, R.1    Ng, M.2
  • 3
    • 0000307017 scopus 로고
    • An algorithm for the inversion of finite Toeplitz matrices
    • W. Trench, An algorithm for the inversion of finite Toeplitz matrices, J. Soc. Indust. Appl. Math. 12, 515-522, (1964).
    • (1964) J. Soc. Indust. Appl. Math. , vol.12 , pp. 515-522
    • Trench, W.1
  • 4
    • 0001726473 scopus 로고
    • On the inversion of finite Toeplitz matrices and their continuous analogs
    • I. Gohberg and A. Semencul, On the inversion of finite Toeplitz matrices and their continuous analogs (in Russian), Math. Issled. 7 (2), 201-223, (1972).
    • (1972) Math. Issled. , vol.7 , Issue.2 , pp. 201-223
    • Gohberg, I.1    Semencul, A.2
  • 5
    • 0002675246 scopus 로고
    • Algebraic methods for Toeplitz-like matrices and operators
    • Birkhäuser, Boston, MA
    • G. Heinig and K. Rost, Algebraic methods for Toeplitz-like matrices and operators, In Operator Theory: Advances and Applications, Volume 13, Birkhäuser, Boston, MA, (1984).
    • (1984) Operator Theory: Advances and Applications , vol.13
    • Heinig, G.1    Rost, K.2
  • 6
    • 3342892523 scopus 로고
    • On inversion of Toeplitz and close to Toeplitz matrices
    • A. Ben-Artzi and T. Shalom, On inversion of Toeplitz and close to Toeplitz matrices, Linear Algebra Appl. 75, 173-192, (1986).
    • (1986) Linear Algebra Appl. , vol.75 , pp. 173-192
    • Ben-Artzi, A.1    Shalom, T.2
  • 7
    • 0040620807 scopus 로고
    • Inversion of Toeplitz matrices with only two standard equations
    • G. Labahn and T. Shalom, Inversion of Toeplitz matrices with only two standard equations, Linear Algebra Appl. 175, 143-158, (1992).
    • (1992) Linear Algebra Appl. , vol.175 , pp. 143-158
    • Labahn, G.1    Shalom, T.2
  • 8
    • 31244437214 scopus 로고    scopus 로고
    • On inversion of Toeplitz matrices
    • M. Ng, K. Rost and Y. Wen, On inversion of Toeplitz matrices, Linear Algebra Appl. 348, 145-151, (2002).
    • (2002) Linear Algebra Appl. , vol.348 , pp. 145-151
    • Ng, M.1    Rost, K.2    Wen, Y.3
  • 9
    • 0000111043 scopus 로고
    • A variant of the Gohberg-Semencul formulas involving circulant matrices
    • G. Ammar and P. Gader, A variant of the Gohberg-Semencul formulas involving circulant matrices, SIAM J. Matrix Anal. Appl. 12, 534-540, (1991).
    • (1991) SIAM J. Matrix Anal. Appl. , vol.12 , pp. 534-540
    • Ammar, G.1    Gader, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.