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Volumn 182, Issue 2, 2006, Pages 1369-1376

The convergence theorem for a family deformed Chebyshev method in Banach space

Author keywords

Banach space; Chebyshev method; Convergence theorem; Nonlinear operator equation

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; STATE SPACE METHODS;

EID: 33751511688     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.05.022     Document Type: Article
Times cited : (9)

References (10)
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  • 3
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    • Gutiérrez J.M., and Hernández M.A. New recurrence relations for Chebyshev method. Appl. Math. Lett. 10 2 (1997) 63-65
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    • Gutiérrez, J.M.1    Hernández, M.A.2
  • 4
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    • Third-order iterative methods for operators with bounded second derivative
    • Gutiérrez J.M., and Hernández M.A. Third-order iterative methods for operators with bounded second derivative. J. Comp. Appl. Math. 82 (1997) 171-183
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    • Gutiérrez, J.M.1    Hernández, M.A.2
  • 6
    • 17444444052 scopus 로고    scopus 로고
    • Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method
    • Hernández M.A., and Salanova M.A. Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method. J. Comp. Appl. Math. 126 (2000) 131-143
    • (2000) J. Comp. Appl. Math. , vol.126 , pp. 131-143
    • Hernández, M.A.1    Salanova, M.A.2
  • 7
    • 0142094508 scopus 로고    scopus 로고
    • A fast Chebyshev's method for quadratic equations
    • Amat S., Busquier S., et al. A fast Chebyshev's method for quadratic equations. Appl. Math. Comp. 148 (2004) 461-474
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  • 8
    • 0034348365 scopus 로고    scopus 로고
    • Second-derivative-free variant of the Chebyshev method for nonlinear equations
    • Hernandez M.A. Second-derivative-free variant of the Chebyshev method for nonlinear equations. J. Optimiz. Theory Appl. 104 3 (2000) 501-515
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  • 9
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    • The corrected Chebyshev iterative method for solving nonlinear equations in Banach space
    • (in Chinese)
    • Xianhong L. The corrected Chebyshev iterative method for solving nonlinear equations in Banach space. J. Zhejiang Univ. (Sciences Edition) 27 1 (2000) 8-13 (in Chinese)
    • (2000) J. Zhejiang Univ. (Sciences Edition) , vol.27 , Issue.1 , pp. 8-13
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  • 10
    • 0004945476 scopus 로고    scopus 로고
    • Convergence on the iteration of Halley family in weak condition
    • Wang X.H. Convergence on the iteration of Halley family in weak condition. Chinese Sci. Bull. 42 7 (1997) 552-555
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.