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Volumn 82, Issue 1-2, 1997, Pages 229-237

Empirical versus asymptotic rate of convergence of a class of methods for solving a polynomial equation

Author keywords

Algebraic equation; Asymptotic rate of convergence; Newton Raphson; Polynomial equation

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; ITERATIVE METHODS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 0043233722     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00077-0     Document Type: Article
Times cited : (5)

References (11)
  • 1
    • 84966230222 scopus 로고
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    • O. Aberth, Iteration methods for finding all zeros of a polynomial simultaneously, Math. Comp. 27 (1977) 339-344.
    • (1977) Math. Comp. , vol.27 , pp. 339-344
    • Aberth, O.1
  • 2
    • 0040802647 scopus 로고
    • On types of convergence and on the behaviour of approximations in the neighbourhood of a multiple root of an equation
    • E. Bodewig, On types of convergence and on the behaviour of approximations in the neighbourhood of a multiple root of an equation, Quart. Appl. Math. 7 (1949) 325-333.
    • (1949) Quart. Appl. Math. , vol.7 , pp. 325-333
    • Bodewig, E.1
  • 3
    • 0004276254 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • G. Dahlquist, A. Björck, Numerical Methods, Prentice-Hall, Englewood Cliffs, NJ, 1974, pp. 244-245.
    • (1974) Numerical Methods , pp. 244-245
    • Dahlquist, G.1    Björck, A.2
  • 5
    • 0028445851 scopus 로고
    • Accelerated convergence in Newton's method
    • J. Gerlach, Accelerated convergence in Newton's method, SIAM Rev. 36 (1994) 272-276.
    • (1994) SIAM Rev. , vol.36 , pp. 272-276
    • Gerlach, J.1
  • 6
    • 0003275962 scopus 로고
    • A family of root finding methods
    • E. Hansen, M. Patrick, A family of root finding methods, Numer. Math. 27 (1977) 257-269.
    • (1977) Numer. Math. , vol.27 , pp. 257-269
    • Hansen, E.1    Patrick, M.2
  • 7
    • 0041391202 scopus 로고
    • On the global behaviour of one parameter families of iteration methods for algebraic equations
    • M. Igarashi, On the global behaviour of one parameter families of iteration methods for algebraic equations (in Japanese) Trans. Jap. Soc. Indus. Appl. Math. 2 (1992) 69-78.
    • (1992) Trans. Jap. Soc. Indus. Appl. Math. , vol.2 , pp. 69-78
    • Igarashi, M.1
  • 8
    • 84968466219 scopus 로고
    • A termination criterion for iterative methods used to find the zeros of polynomials
    • M. Igarashi, A termination criterion for iterative methods used to find the zeros of polynomials, Math. Comp. 42 (1984) 165-171.
    • (1984) Math. Comp. , vol.42 , pp. 165-171
    • Igarashi, M.1
  • 10
    • 34447609127 scopus 로고
    • Über unendlich viele algorithmen zur auflösung der gleichungen
    • E. Schröder, Über unendlich viele Algorithmen zur Auflösung der Gleichungen, Math. Ann. 2 (1869) 317-356.
    • (1869) Math. Ann. , vol.2 , pp. 317-356
    • Schröder, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.