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Volumn 107, Issue 1, 2007, Pages 131-146

Improvements of the efficiency of some three-step iterative like-Newton methods

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Indexed keywords


EID: 34547372190     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-007-0088-8     Document Type: Article
Times cited : (29)

References (20)
  • 1
    • 21244492415 scopus 로고    scopus 로고
    • Dynamics of the King and Jarrat iterations
    • Amat, S., Busquier, S., Plaza, S.: Dynamics of the King and Jarrat iterations. Aequationes Math. 69, 212-223 (2005)
    • (2005) Aequationes Math , vol.69 , pp. 212-223
    • Amat, S.1    Busquier, S.2    Plaza, S.3
  • 2
    • 33746375646 scopus 로고    scopus 로고
    • A new iterative method for solving nonlinear equations
    • Chun, C.: A new iterative method for solving nonlinear equations. Appl. Math. Comput. 178, 415-422 (2006)
    • (2006) Appl. Math. Comput , vol.178 , pp. 415-422
    • Chun, C.1
  • 3
    • 33846968782 scopus 로고    scopus 로고
    • Construction of Newton-like iteration methods for solving nonlinear equations
    • Chun, C.: Construction of Newton-like iteration methods for solving nonlinear equations. Numer. Math. 104, 297-315 (2006)
    • (2006) Numer. Math , vol.104 , pp. 297-315
    • Chun, C.1
  • 6
    • 0345832317 scopus 로고    scopus 로고
    • An improvement to the computing of nonlinear equation solutions
    • Grau, M.: An improvement to the computing of nonlinear equation solutions. Numer. Algorithms 34, 1-12 (2003)
    • (2003) Numer. Algorithms , vol.34 , pp. 1-12
    • Grau, M.1
  • 7
    • 2442647574 scopus 로고    scopus 로고
    • A variant of Cauchy's method with accelerated fifth-order convergence
    • Grau, M., Noguera, M.: A variant of Cauchy's method with accelerated fifth-order convergence. Appl. Math. Lett. 17, 509-517 (2004)
    • (2004) Appl. Math. Lett , vol.17 , pp. 509-517
    • Grau, M.1    Noguera, M.2
  • 8
    • 29544450533 scopus 로고    scopus 로고
    • An improvement of the Euler-Chebyshev iterative method
    • Grau, M., Díaz-Barrero, J.L.: An improvement of the Euler-Chebyshev iterative method. J. Math. Anal. Appl. 315, 1-7 (2006)
    • (2006) J. Math. Anal. Appl , vol.315 , pp. 1-7
    • Grau, M.1    Díaz-Barrero, J.L.2
  • 9
    • 32144457008 scopus 로고    scopus 로고
    • An improvement to Ostrowski root-finding method
    • Grau, M., Díaz-Barrero, J.L.: An improvement to Ostrowski root-finding method. Appl. Math. Comput. 173, 450-456 (2006)
    • (2006) Appl. Math. Comput , vol.173 , pp. 450-456
    • Grau, M.1    Díaz-Barrero, J.L.2
  • 10
    • 33749536569 scopus 로고    scopus 로고
    • On computational efficiency for multi-precision zero-finding methods
    • Grau-Sánchez, M., Díaz-Barrero, J.L.: On computational efficiency for multi-precision zero-finding methods. Appl. Math. Comput. 181, 402-412 (2006)
    • (2006) Appl. Math. Comput , vol.181 , pp. 402-412
    • Grau-Sánchez, M.1    Díaz-Barrero, J.L.2
  • 12
    • 0012940554 scopus 로고
    • A family of fourth-order methods for nonlinear equations
    • King, R.F.: A family of fourth-order methods for nonlinear equations. SIAM J. Numer. Anal. 10, 876-879 (1973)
    • (1973) SIAM J. Numer. Anal , vol.10 , pp. 876-879
    • King, R.F.1
  • 13
    • 0012940554 scopus 로고
    • A family of fourth-order methods for nonlinear equations
    • King R.F. (1973) A family of fourth-order methods for nonlinear equations. SIAM J. Numer. Anal. 10:876-879
    • (1973) SIAM J. Numer. Anal , vol.10 , pp. 876-879
    • King, R.F.1
  • 14
    • 34547381423 scopus 로고    scopus 로고
    • A variant of Jarrat's method with accelerated sixth-order convergence
    • in press
    • Kou, J.S., Li, Y.T.: A variant of Jarrat's method with accelerated sixth-order convergence. Int. J. Comput. Math. (in press) (2006)
    • (2006) Int. J. Comput. Math
    • Kou, J.S.1    Li, Y.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.