메뉴 건너뛰기




Volumn 96, Issue 2, 1998, Pages 117-125

Improvement of a convergence condition for the Durand-Kerner iteration

Author keywords

Convergence theorems; Inclusion methods; Initial conditions for convergence; Polynomial roots; Simultaneous method

Indexed keywords

ANALYSIS; APPROXIMATION THEORY; ITERATIVE METHODS; POLYNOMIALS;

EID: 0032163498     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00109-5     Document Type: Article
Times cited : (15)

References (11)
  • 1
    • 34250500064 scopus 로고
    • Residuenabschätzung für Polynom-Nullstellen mittels lagrange-interpolation
    • [1] W. Börsch-Supan, Residuenabschätzung für Polynom-Nullstellen mittels Lagrange-interpolation, Numer. Math. 14 (1970) 287-296.
    • (1970) Numer. Math. , vol.14 , pp. 287-296
    • Börsch-Supan, W.1
  • 2
    • 33846620133 scopus 로고
    • Simultaneous inclusion of the zeros of a polynomial
    • [2] D. Braess, K.P. Hadeler, Simultaneous inclusion of the zeros of a polynomial, Numer. Math. 21 (1973) 161-165.
    • (1973) Numer. Math. , vol.21 , pp. 161-165
    • Braess, D.1    Hadeler, K.P.2
  • 3
    • 0040708993 scopus 로고
    • Anwendungen von begleitmatrizen
    • [3] C. Carstensen, Anwendungen von Begleitmatrizen, ZAMM, 71 (6) (1991) T 809-T 812.
    • (1991) ZAMM , vol.71 , Issue.6
    • Carstensen, C.1
  • 4
    • 34249928714 scopus 로고
    • Inclusion of the roots of a polynomial based on Gerschgorin's theorem
    • [4] C. Carstensen, Inclusion of the roots of a polynomial based on Gerschgorin's theorem, Numer. Math. 59 (1991) 349-360.
    • (1991) Numer. Math. , vol.59 , pp. 349-360
    • Carstensen, C.1
  • 5
    • 0001329073 scopus 로고
    • A remark on simultaneous inclusions of the zeros of a polynomial by Gershgorin's theorem
    • [5] L. Elsner, A remark on simultaneous inclusions of the zeros of a polynomial by Gershgorin's theorem, Numer. Math. 21 (1973) 425-427.
    • (1973) Numer. Math. , vol.21 , pp. 425-427
    • Elsner, L.1
  • 7
    • 0030394158 scopus 로고    scopus 로고
    • On initial conditions for the convergence of simultaneous root finding methods
    • [7] M.S. Petković, On initial conditions for the convergence of simultaneous root finding methods, Computing 57(2) (1996) 163-177.
    • (1996) Computing , vol.57 , Issue.2 , pp. 163-177
    • Petković, M.S.1
  • 9
    • 0014855549 scopus 로고
    • Error bounds for zeros of a polynomial based upon Gershgorin's theorems
    • [9] B.T. Smith, Error bounds for zeros of a polynomial based upon Gershgorin's theorems, J. ACM 17 (4) (1970) 661-674.
    • (1970) J. ACM , vol.17 , Issue.4 , pp. 661-674
    • Smith, B.T.1
  • 10
    • 38249020868 scopus 로고
    • An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations
    • [10] T. Yamamoto, X. Chen, An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations, J. Comput. Appl. Math. 30 (1990) 87-97.
    • (1990) J. Comput. Appl. Math. , vol.30 , pp. 87-97
    • Yamamoto, T.1    Chen, X.2
  • 11
    • 85013558033 scopus 로고
    • Validated computation of polynomial zeros by the Durand-Kerner method
    • J. Herzberger (Ed.), Elsevier Science, Amsterdam
    • [11] T. Yamamoto, S. Kanno, L. Atanassova, Validated computation of polynomial zeros by the Durand-Kerner method, in: J. Herzberger (Ed.), Topics in Validated Computations, Elsevier Science, Amsterdam, 1994, pp. 27-54.
    • (1994) Topics in Validated Computations , pp. 27-54
    • Yamamoto, T.1    Kanno, S.2    Atanassova, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.