메뉴 건너뛰기




Volumn 52, Issue 9-10, 2010, Pages 1490-1496

A family of iterative methods with sixth and seventh order convergence for nonlinear equations

Author keywords

Convergence order; Divided differences; Efficiency index; Iterative methods; Linear interpolation; Nonlinear equations

Indexed keywords

COMPUTATIONAL EFFORT; CONVERGENCE ORDER; DIVIDED DIFFERENCE; EFFICIENCY INDEX; FOURTH ORDER; FUNCTIONAL EVALUATION; HIGH ORDER; LINEAR INTERPOLATION; NEW INDICES; NEWTON'S METHODS; NUMERICAL TESTS;

EID: 77956012600     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2010.05.033     Document Type: Article
Times cited : (29)

References (13)
  • 3
    • 35448988061 scopus 로고    scopus 로고
    • Some quadrature based three-step iterative methods for non-linear equations
    • Mir N.A., Zaman T. Some quadrature based three-step iterative methods for non-linear equations. Applied Mathematics and Computation 2007, 193:366-373.
    • (2007) Applied Mathematics and Computation , vol.193 , pp. 366-373
    • Mir, N.A.1    Zaman, T.2
  • 5
    • 0012466757 scopus 로고    scopus 로고
    • A variant of Newton's method with accelerated third-order convergence
    • Weerakoon S., Fernando T.G.I. A variant of Newton's method with accelerated third-order convergence. Applied Mathematics Letters 2000, 13:87-93.
    • (2000) Applied Mathematics Letters , vol.13 , pp. 87-93
    • Weerakoon, S.1    Fernando, T.G.I.2
  • 6
    • 53449084497 scopus 로고    scopus 로고
    • Some higher-order modifications of Newton's method for solving nonlinear equations
    • Ham Y., Chun C., Lee S-G. Some higher-order modifications of Newton's method for solving nonlinear equations. Journal of Computational and Applied Mathematics 2008, 222:477-486.
    • (2008) Journal of Computational and Applied Mathematics , vol.222 , pp. 477-486
    • Ham, Y.1    Chun, C.2    Lee, S.-G.3
  • 7
    • 67349188745 scopus 로고    scopus 로고
    • Two new families of sixth-order methods for solving non-linear equations
    • Wang X., Liu L. Two new families of sixth-order methods for solving non-linear equations. Applied Mathematics and Computation 2009, 213:73-78.
    • (2009) Applied Mathematics and Computation , vol.213 , pp. 73-78
    • Wang, X.1    Liu, L.2
  • 9
    • 71649091186 scopus 로고    scopus 로고
    • Eighth-order methods with high efficiency index for solving nonlinear equations
    • Liu L., Wang X. Eighth-order methods with high efficiency index for solving nonlinear equations. Applied Mathematics and Computation 2010, 215:3449-3454.
    • (2010) Applied Mathematics and Computation , vol.215 , pp. 3449-3454
    • Liu, L.1    Wang, X.2
  • 10
    • 58549095239 scopus 로고    scopus 로고
    • Three-step iterative methods with eighth-order convergence for solving nonlinear equations
    • Bi W., Ren H., Wu Q. Three-step iterative methods with eighth-order convergence for solving nonlinear equations. Journal of Computational and Applied Mathematics 2009, 225:105-112.
    • (2009) Journal of Computational and Applied Mathematics , vol.225 , pp. 105-112
    • Bi, W.1    Ren, H.2    Wu, Q.3
  • 11
    • 33846589993 scopus 로고    scopus 로고
    • A composite fourth-order iterative method for solving non-linear equattions
    • Kou J., Li Y., Wang X. A composite fourth-order iterative method for solving non-linear equattions. Applied Mathematics and Computation 2007, 184:471-475.
    • (2007) Applied Mathematics and Computation , vol.184 , pp. 471-475
    • Kou, J.1    Li, Y.2    Wang, X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.