메뉴 건너뛰기




Volumn 214, Issue 1, 2009, Pages 236-245

A new family of eighth-order iterative methods for solving nonlinear equations

Author keywords

Iterative methods; King's methods; Newton's method; Nonlinear equations; Order of convergence

Indexed keywords

EFFICIENCY INDEX; EXISTING METHOD; ITERATION METHOD; KING'S METHODS; NEWTON'S METHOD; NUMERICAL COMPARISON; OPTIMAL CONVERGENCE ORDER; ORDER OF CONVERGENCE;

EID: 67349258558     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.03.077     Document Type: Article
Times cited : (94)

References (30)
  • 3
    • 0012940554 scopus 로고
    • A family of fourth order methods for nonlinear equations
    • King R. A family of fourth order methods for nonlinear equations. SIAM J. Numer. Anal. 10 (1973) 876-879
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 876-879
    • King, R.1
  • 6
    • 0016115525 scopus 로고
    • Optimal order of one-point and multipoint iteration
    • Kung H.T., and Traub J.F. Optimal order of one-point and multipoint iteration. J. Assoc. Comput. Math. 21 (1974) 634-651
    • (1974) J. Assoc. Comput. Math. , vol.21 , pp. 634-651
    • Kung, H.T.1    Traub, J.F.2
  • 8
    • 0040822169 scopus 로고
    • Some efficient fourth order multipoint methods for solving equations
    • Jarratt P. Some efficient fourth order multipoint methods for solving equations. BIT 9 (1969) 119-124
    • (1969) BIT , vol.9 , pp. 119-124
    • Jarratt, P.1
  • 9
    • 11744327261 scopus 로고    scopus 로고
    • Construction of iterative processes with high order of convergence
    • Ezquerro J.A., Hernández M.A., and Salanova M.A. Construction of iterative processes with high order of convergence. Int. J. Comp. Math. 69 (1998) 191-201
    • (1998) Int. J. Comp. Math. , vol.69 , pp. 191-201
    • Ezquerro, J.A.1    Hernández, M.A.2    Salanova, M.A.3
  • 10
    • 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
  • 11
    • 38149146234 scopus 로고
    • The Jarratt method in a Banach space setting
    • Argyros I.K. The Jarratt method in a Banach space setting. J. Comp. Appl. Math. 51 (1994) 103-106
    • (1994) J. Comp. Appl. Math. , vol.51 , pp. 103-106
    • Argyros, I.K.1
  • 12
    • 32144457008 scopus 로고    scopus 로고
    • An improvement to Ostrowski root-finding method
    • Grau M., and Díaz-Barrero J.L. An improvement to Ostrowski root-finding method. Appl. Math. Comput. 173 (2006) 450-456
    • (2006) Appl. Math. Comput. , vol.173 , pp. 450-456
    • Grau, M.1    Díaz-Barrero, J.L.2
  • 13
    • 34249788722 scopus 로고    scopus 로고
    • A family of modified Ostrowski methods with accelerated sixth-order convergence
    • Sharma J.R., and Guha R.K. A family of modified Ostrowski methods with accelerated sixth-order convergence. Appl. Math. Comput. 190 (2007) 111-115
    • (2007) Appl. Math. Comput. , vol.190 , pp. 111-115
    • Sharma, J.R.1    Guha, R.K.2
  • 14
    • 35448976006 scopus 로고    scopus 로고
    • Some sixth-order variants of Ostrowski root-finding methods
    • Chun C., and Ham Y. Some sixth-order variants of Ostrowski root-finding methods. Appl. Math. Comput. 193 (2007) 389-394
    • (2007) Appl. Math. Comput. , vol.193 , pp. 389-394
    • Chun, C.1    Ham, Y.2
  • 15
    • 34248326957 scopus 로고    scopus 로고
    • The improvements of modified Newton's method
    • Kou J. The improvements of modified Newton's method. Appl. Math. Comput. 189 (2007) 602-609
    • (2007) Appl. Math. Comput. , vol.189 , pp. 602-609
    • Kou, J.1
  • 16
    • 34249095545 scopus 로고    scopus 로고
    • An improvement of the Jarrat method
    • Kou J., Li Y., and Wang X. An improvement of the Jarrat method. Appl. Math. Comput. 189 (2007) 1816-1821
    • (2007) Appl. Math. Comput. , vol.189 , pp. 1816-1821
    • Kou, J.1    Li, Y.2    Wang, X.3
  • 17
    • 34250613065 scopus 로고    scopus 로고
    • Some improvements of Jarratt's method with sixth-order convergence
    • Chun C. Some improvements of Jarratt's method with sixth-order convergence. Appl. Math. Comput. 190 (2007) 1432-1437
    • (2007) Appl. Math. Comput. , vol.190 , pp. 1432-1437
    • Chun, C.1
  • 18
    • 34250658871 scopus 로고    scopus 로고
    • Modified householder iterative method for nonlinear equations
    • Noor K.I., Noor M.A., and Momani S. Modified householder iterative method for nonlinear equations. Appl. Math. Comput. 190 (2007) 1534-1539
    • (2007) Appl. Math. Comput. , vol.190 , pp. 1534-1539
    • Noor, K.I.1    Noor, M.A.2    Momani, S.3
  • 19
    • 50249134216 scopus 로고    scopus 로고
    • A sixth order method for nonlinear equations
    • Parhi S.K., and Gupta D.K. A sixth order method for nonlinear equations. Appl. Math. Comput. 203 (2008) 50-55
    • (2008) Appl. Math. Comput. , vol.203 , pp. 50-55
    • Parhi, S.K.1    Gupta, D.K.2
  • 20
    • 34548396243 scopus 로고    scopus 로고
    • Some variants of Ostrowski's method with seventh-order convergence
    • Kou J., Li Y., and Wang X. Some variants of Ostrowski's method with seventh-order convergence. J. Comput. Appl. Math. 209 (2007) 153-159
    • (2007) J. Comput. Appl. Math. , vol.209 , pp. 153-159
    • Kou, J.1    Li, Y.2    Wang, X.3
  • 21
    • 35448988061 scopus 로고    scopus 로고
    • Some quadrature based three-step iterative methods for non-linear equations
    • Mir N.A., and Zaman T. Some quadrature based three-step iterative methods for non-linear equations. Appl. Math. Comput. 193 (2007) 366-373
    • (2007) Appl. Math. Comput. , vol.193 , pp. 366-373
    • Mir, N.A.1    Zaman, T.2
  • 22
    • 50249095629 scopus 로고    scopus 로고
    • New family of seventh-order methods for nonlinear equations
    • Bi W., Ren H., and Wu Q. New family of seventh-order methods for nonlinear equations. Appl. Math. Comput. 203 (2008) 408-412
    • (2008) Appl. Math. Comput. , vol.203 , pp. 408-412
    • Bi, W.1    Ren, H.2    Wu, Q.3
  • 23
    • 58549095239 scopus 로고    scopus 로고
    • Three-step iterative methods with eighth-order convergence for solving nonlinear equations
    • Bi W., Ren H., and Wu Q. Three-step iterative methods with eighth-order convergence for solving nonlinear equations. J. Comput. Appl. Math. 255 (2009) 105-112
    • (2009) J. Comput. Appl. Math. , vol.255 , pp. 105-112
    • Bi, W.1    Ren, H.2    Wu, Q.3
  • 27
    • 0036003394 scopus 로고    scopus 로고
    • Directional Newton methods in n variables
    • Levin Y., and Ben-Israel A. Directional Newton methods in n variables. Math. Comput. 71 (2002) 251-262
    • (2002) Math. Comput. , vol.71 , pp. 251-262
    • Levin, Y.1    Ben-Israel, A.2
  • 28
    • 67349241605 scopus 로고    scopus 로고
    • Broyden method for nonlinear equation in several variables
    • An H., and Bai Z. Broyden method for nonlinear equation in several variables. Math. Numer. Sinica. 26 (2004) 385-400
    • (2004) Math. Numer. Sinica. , vol.26 , pp. 385-400
    • An, H.1    Bai, Z.2
  • 29
    • 10644287811 scopus 로고    scopus 로고
    • Directional secant method for nonlinear equations
    • An H., and Bai Z. Directional secant method for nonlinear equations. J. Comput. Appl. Math. 175 (2005) 291-304
    • (2005) J. Comput. Appl. Math. , vol.175 , pp. 291-304
    • An, H.1    Bai, Z.2
  • 30
    • 0012466757 scopus 로고    scopus 로고
    • A variant of Newton's method with accelerated third-order convergence
    • Weerakoon S., and Fernando T.G.I. A variant of Newton's method with accelerated third-order convergence. Appl. Math. Lett. 13 (2000) 87-93
    • (2000) Appl. Math. Lett. , vol.13 , pp. 87-93
    • Weerakoon, S.1    Fernando, T.G.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.