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Volumn 20, Issue 1, 1998, Pages 45-59

Bounds for the structured backward errors of Vandermonde systems

Author keywords

Backward perturbations; Stability; Vandermonde systems

Indexed keywords


EID: 0032217352     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479897314759     Document Type: Article
Times cited : (9)

References (10)
  • 1
    • 0001852241 scopus 로고
    • The structured sensitivity of Vandermonde-like systems
    • S. G. BARTELS AND D. J. HIGHAM, The structured sensitivity of Vandermonde-like systems, Numer. Math., 62 (1992), pp. 17-33.
    • (1992) Numer. Math. , vol.62 , pp. 17-33
    • Bartels, S.G.1    Higham, D.J.2
  • 2
    • 84968468488 scopus 로고
    • Solution of Vandermonde systems of equations
    • A. BJÖRCK AND V. PEREYRA, Solution of Vandermonde systems of equations, Math. Comp., 24 (1970), pp. 893-903.
    • (1970) Math. Comp. , vol.24 , pp. 893-903
    • Björck, A.1    Pereyra, V.2
  • 3
    • 38249035464 scopus 로고
    • The weak and strong stability of algorithms in numerical linear algebra
    • J. R. BUNCH, The weak and strong stability of algorithms in numerical linear algebra, Linear Algebra Appl., 88/89 (1987), pp. 49-66.
    • (1987) Linear Algebra Appl. , vol.88-89 , pp. 49-66
    • Bunch, J.R.1
  • 5
    • 0000829895 scopus 로고
    • Backward error and condition of structured linear systems
    • D. J. HIGHAM AND N. J. HIGHAM, Backward error and condition of structured linear systems, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 162-175.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 162-175
    • Higham, D.J.1    Higham, N.J.2
  • 6
    • 0001005483 scopus 로고
    • Error analysis of the Björck-Pereyra algorithms for solving Vandermonde systems
    • N. J. HIGHAM, Error analysis of the Björck-Pereyra algorithms for solving Vandermonde systems, Numer. Math., 50 (1987), pp. 613-632.
    • (1987) Numer. Math. , vol.50 , pp. 613-632
    • Higham, N.J.1
  • 8
    • 0000571164 scopus 로고
    • On the compatibility of a given solution with the data of a linear system
    • J. L. RIGAL AND J. GACHES, On the compatibility of a given solution with the data of a linear system, J. Assoc. Comput. Mach., 14 (1967), pp. 543-548.
    • (1967) J. Assoc. Comput. Mach. , vol.14 , pp. 543-548
    • Rigal, J.L.1    Gaches, J.2
  • 10
    • 21344490058 scopus 로고
    • Backward error estimates for Toeplitz systems
    • J. M. VARAH, Backward error estimates for Toeplitz systems, SIAM J. Matrix Anal. Appl., 15 (1994), pp. 408-417.
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 408-417
    • Varah, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.