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Volumn 46, Issue 8-9, 2003, Pages 1195-1200

Error Analysis of a New Transformation for Multiple Zeros Finding Free from Derivative Evaluations

Author keywords

Error analysis; Iteration method; Multiple zeros; Nonlinear equation; Order of convergence

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; ITERATIVE METHODS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; THEOREM PROVING;

EID: 0344897054     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)90211-2     Document Type: Article
Times cited : (5)

References (9)
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    • Wu, X.-Y.1    Xia, J.-L.2    Shao, R.3
  • 2
    • 0344440525 scopus 로고
    • Derivative-free iteration processes
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    • Wimp, J.1
  • 3
    • 0004787739 scopus 로고    scopus 로고
    • A new continuation Newton-like method and its deformation
    • X.-Y. Wu, A new continuation Newton-like method and its deformation, Applied Mathematics and Computation 112, 75-78, (2000).
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    • Wu, X.-Y.1
  • 4
    • 0035251838 scopus 로고    scopus 로고
    • New high-order convergence iteration methods without employing derivatives for solving nonlinear equations
    • X.-Y. Wu and D. Fu, New high-order convergence iteration methods without employing derivatives for solving nonlinear equations, Computers Math. Applic. 41 (3/4), 489-495, (2001).
    • (2001) Computers Math. Applic. , vol.41 , Issue.3-4 , pp. 489-495
    • Wu, X.-Y.1    Fu, D.2
  • 5
    • 0022604548 scopus 로고
    • Derivative free multipoint iterative methods for simple and multiple roots
    • S.R.K. Iyengar and R.K. Jain, Derivative free multipoint iterative methods for simple and multiple roots, BIT 26, 93-99, (1986).
    • (1986) BIT , vol.26 , pp. 93-99
    • Iyengar, S.R.K.1    Jain, R.K.2
  • 6
    • 0016348319 scopus 로고
    • The convergence of multi point iterations to multiple zeros
    • G.W. Stewart, The convergence of multi point iterations to multiple zeros, SIAM J Numer. Anal. 11 (6), 1105-1120, (1974).
    • (1974) SIAM J Numer. Anal. , vol.11 , Issue.6 , pp. 1105-1120
    • Stewart, G.W.1
  • 7
    • 0344440522 scopus 로고
    • A derivative-free transformation preserving the order of convergence of iteration methods in case of multiple zeroes
    • J.B. Kioustelidis, A derivative-free transformation preserving the order of convergence of iteration methods in case of multiple zeroes, Numer. Math. 33, 385-389, (1979).
    • (1979) Numer. Math. , vol.33 , pp. 385-389
    • Kioustelidis, J.B.1
  • 8
    • 0344009273 scopus 로고
    • A secant method for multiple roots
    • F.R. King, A secant method for multiple roots, BIT 17, 321-328, (1977).
    • (1977) BIT , vol.17 , pp. 321-328
    • King, F.R.1
  • 9
    • 0344440523 scopus 로고
    • The behavior of a multiplicity independent root-finding scheme in the presence of error
    • G.W. Stewart, The behavior of a multiplicity independent root-finding scheme in the presence of error, BIT 20, 526-528, (1980).
    • (1980) BIT , vol.20 , pp. 526-528
    • Stewart, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.