메뉴 건너뛰기




Volumn 87, Issue 4, 2010, Pages 834-839

New iterative method for solving non-linear equations with fourth-order convergence

Author keywords

Fourth order convergence; Halley's approximation; Iterative method; Newton's method; Non linear equation

Indexed keywords

FIRST DERIVATIVE; FOURTH-ORDER; HALLEY'S APPROXIMATION; NEWTON'S METHODS; NUMERICAL RESULTS; ORDER OF CONVERGENCE; SECOND DERIVATIVES; SIMPLE ROOT;

EID: 77951103874     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160802217201     Document Type: Article
Times cited : (28)

References (11)
  • 1
    • 2242443716 scopus 로고
    • On the convergence of a class of generalized Steffensen's iterative procedures and error analysis
    • D. Chen, On the convergence of a class of generalized Steffensen's iterative procedures and error analysis, Int. J. Comput. Math. 31 (1989), pp. 195-203.
    • (1989) Int. J. Comput. Math. , vol.31 , pp. 195-203
    • Chen, D.1
  • 2
    • 60349088908 scopus 로고    scopus 로고
    • A variant of Steffensen's method with a better approximation to the derivative
    • doi:10.1016/j.amc.2007.12.046
    • M. Dehghan and M. Hajarian, A variant of Steffensen's method with a better approximation to the derivative, Appl. Math. Comput. doi:10.1016/j.amc. 2007.12.046.
    • Appl. Math. Comput.
    • Dehghan, M.1    Hajarian, M.2
  • 3
    • 41049084738 scopus 로고
    • A family of one-point iteration formulae for finding roots
    • C. Dong, A family of one-point iteration formulae for finding roots, Int. J. Comput. Math. 14 (1987), pp. 363-367.
    • (1987) Int. J. Comput. Math. , vol.14 , pp. 363-367
    • Dong, C.1
  • 4
    • 0000132229 scopus 로고
    • On Halley's iteration method
    • W. Gander, On Halley's iteration method, Am. Math. Monthly 92 (1985), pp. 131-134.
    • (1985) Am. Math. Monthly , vol.92 , pp. 131-134
    • Gander, W.1
  • 5
    • 0001050260 scopus 로고
    • Methodus nova, accurata & facilis inveniendi radices aequationum quarumcumque generaliter, sine praevia reductione
    • E. Halley, Methodus nova, accurata & facilis inveniendi radices aequationum quarumcumque generaliter, sine praevia reductione, Philos. Trans. R. Soc. Lond. 18 (1694), pp. 136-148.
    • (1694) Philos. Trans. R. Soc. Lond. , vol.18 , pp. 136-148
    • Halley, E.1
  • 6
    • 14544290341 scopus 로고    scopus 로고
    • Some new variants of Newton's method
    • A.Y. Özban, Some new variants of Newton's method, Appl. Math. Lett. 17 (2004), pp. 677-682.
    • (2004) Appl. Math. Lett. , vol.17 , pp. 677-682
    • Özban, A.Y.1
  • 7
    • 0019144229 scopus 로고
    • A family of one-point iteration formulae for finding roots
    • D.B. Popovski, A family of one-point iteration formulae for finding roots, Int. J. Comput. Math. 8 (1980), pp. 85-88.
    • (1980) Int. J. Comput. Math. , vol.8 , pp. 85-88
    • Popovski, D.B.1
  • 8
    • 14944351893 scopus 로고
    • On the geometry of Halley's method
    • T.R. Scavo and J.B. Thoo, On the geometry of Halley's method, Am. Math. Monthly 102 (1995), pp. 417-426.
    • (1995) Am. Math. Monthly , vol.102 , pp. 417-426
    • Scavo, T.R.1    Thoo, J.B.2
  • 9
    • 0033282032 scopus 로고    scopus 로고
    • A new cubic method for computing a root
    • R.E. Shaw and L. E. Garey, A new cubic method for computing a root, Int. J. Comput. Math. 73 (1999), pp. 243-251.
    • (1999) Int. J. Comput. Math. , vol.73 , pp. 243-251
    • Shaw, R.E.1    Garey, L.E.2
  • 11
    • 0012466757 scopus 로고    scopus 로고
    • A variant of Newton's method with accelerated third-order convergence
    • S.Weerakoon and T.G.I. Fernando, A variant of Newton's method with accelerated third-order convergence, Appl. Math. Lett. 13 (2000), pp. 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.