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Volumn 214, Issue 1, 2009, Pages 171-177

Some variants of Hansen-Patrick method with third and fourth order convergence

Author keywords

Hansen Patrick method; Newton method; Nonlinear equations; Root finding

Indexed keywords

COMPUTATIONAL COSTS; FIRST DERIVATIVE; FOURTH ORDER CONVERGENCE; FOURTH-ORDER; FOURTH-ORDER METHOD; HANSEN-PATRICK METHOD; HIGH PRECISION COMPUTATION; NEWTON METHOD; NUMERICAL EXAMPLE; ROBUST METHODS; ROOT-FINDING; ROOT-FINDING METHODS; SECOND DERIVATIVES; THIRD-ORDER CONVERGENCE;

EID: 67349245501     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.03.062     Document Type: Article
Times cited : (11)

References (12)
  • 3
    • 0000298351 scopus 로고
    • A note on the Halley method in Banach spaces
    • Argyros I.K. A note on the Halley method in Banach spaces. Appl. Math. Comput. 58 (1993) 215-224
    • (1993) Appl. Math. Comput. , vol.58 , pp. 215-224
    • Argyros, I.K.1
  • 5
    • 0002639758 scopus 로고
    • A local convergence theorem for the super-Halley method in a Banach space
    • Chen D., Argyros I.K., and Qian Q.S. A local convergence theorem for the super-Halley method in a Banach space. Appl. Math. Lett. 7 (1994) 49-52
    • (1994) Appl. Math. Lett. , vol.7 , pp. 49-52
    • Chen, D.1    Argyros, I.K.2    Qian, Q.S.3
  • 6
    • 0040927500 scopus 로고    scopus 로고
    • An acceleration of Newton's method: super-Halley method
    • Gutiérrez J.M., and Hernández M.A. An acceleration of Newton's method: super-Halley method. Appl. Math. Comput. 117 (2001) 223-239
    • (2001) Appl. Math. Comput. , vol.117 , pp. 223-239
    • Gutiérrez, J.M.1    Hernández, M.A.2
  • 7
    • 0003275962 scopus 로고
    • A family of root finding methods
    • Hansen E., and Patrick M. 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
  • 8
    • 33947204585 scopus 로고    scopus 로고
    • A variant of super-Halley method with accelerated fourth-order convergence
    • Kou J., Li Y., and Wang X. A variant of super-Halley method with accelerated fourth-order convergence. Appl. Math. Comput. 186 (2007) 535-539
    • (2007) Appl. Math. Comput. , vol.186 , pp. 535-539
    • Kou, J.1    Li, Y.2    Wang, X.3
  • 9
    • 34248398121 scopus 로고    scopus 로고
    • A family of modified super-Halley methods with fourth-order convergence
    • Kou J., and Li Y. A family of modified super-Halley methods with fourth-order convergence. Appl. Math. Comput. 189 (2007) 366-370
    • (2007) Appl. Math. Comput. , vol.189 , pp. 366-370
    • Kou, J.1    Li, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.