메뉴 건너뛰기
International Journal of Pure and Applied Mathematics
Volumn 57, Issue 4, 2009, Pages 543-555
A two-step high order Newton-like method for solving systems of nonlinear equations
Author keywords

Chandrasekhar integral equation; Convergency; Newton's method; System of nonlinear equations
Indexed keywords

EID: 78649849879     PISSN: 13118080     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)
References (15)
  • 1
    • 0041620161 scopus 로고    scopus 로고
    • Geometric constructions of iterative methods to solve nonlinear equations
    • S. Amat, S. Busquier, J.M. Gutierrez, Geometric constructions of iterative methods to solve nonlinear equations, Comput. Appl. Math., 157 (2003), 197-205.
    • (2003) Comput. Appl. Math. , vol.157 , pp. 197-205
    • Amat, S.1    Busquier, S.2    Gutierrez, J.M.3
  • 2
    • 33845396280 scopus 로고    scopus 로고
    • An analysis of the properties of the variants of Newton's method with third order convergence
    • D.K.R. Babajee, M.Z. Dauhoo, An analysis of the properties of the variants of Newton's method with third order convergence, Appl. Math. Comput., 183 (2006), 659-684.
    • (2006) Appl. Math. Comput. , vol.183 , pp. 659-684
    • Babajee, D.K.R.1    Dauhoo, M.Z.2
  • 3
    • 70450235560 scopus 로고    scopus 로고
    • Analysis of a family of two-point iterative methods with third order convergence
    • (Ed-s: T.E. Simos, G. Psihoyios, Ch. Tsitouras), Wiley VCH Verlag GmbH & Co. KGaA, Greece
    • D.K.R. Babajee, M.Z. Dauhoo, Analysis of a family of two-point iterative methods with third order convergence, In: International Conference on Numerical Analysis and Applied Mathematics 2006 (Ed-s: T.E. Simos, G. Psihoyios, Ch. Tsitouras), Wiley VCH Verlag GmbH & Co. KGaA, Greece (2006), 658-661.
    • (2006) International Conference on Numerical Analysis and Applied Mathematics 2006 , pp. 658-661
    • Babajee, D.K.R.1    Dauhoo, M.Z.2
  • 4
    • 43049167197 scopus 로고    scopus 로고
    • A note on the local convergence of iterative methods based on Adomian decomposition method and 3-node quadrature rule
    • D.K.R. Babajee, M.Z. Dauhoo, M.T. Darvishi, A. Barati, A note on the local convergence of iterative methods based on Adomian decomposition method and 3-node quadrature rule, Appl. Math. Comput., 200 (2008), 452-458.
    • (2008) Appl. Math. Comput. , vol.200 , pp. 452-458
    • Babajee, D.K.R.1    Dauhoo, M.Z.2    Darvishi, M.T.3    Barati, A.4
  • 5
    • 33845392615 scopus 로고    scopus 로고
    • Variants of Newton's method for functions of several variables
    • A. Cordero, J.R. Torregrosa, Variants of Newton's method for functions of several variables, Appl. Math. Comput., 183 (2006), 199-208.
    • (2006) Appl. Math. Comput. , vol.183 , pp. 199-208
    • Cordero, A.1    Torregrosa, J.R.2
  • 6
    • 34247232542 scopus 로고    scopus 로고
    • A third-order Newton-type method to solve systems of nonlinear equations
    • M.T. Darvishi, A. Barati, A third-order Newton-type method to solve systems of nonlinear equations, Appl. Math. Comput., 187 (2007), 630635.
    • (2007) Appl. Math. Comput. , vol.187 , pp. 630635
    • Darvishi, M.T.1    Barati, A.2
  • 7
    • 34247608760 scopus 로고    scopus 로고
    • A fourth-order method from quadrature formulae to solve systems of nonlinear equations
    • M.T. Darvishi, A. Barati, A fourth-order method from quadrature formulae to solve systems of nonlinear equations, Appl. Math. Comput., 188 (2007), 257-261.
    • (2007) Appl. Math. Comput. , vol.188 , pp. 257-261
    • Darvishi, M.T.1    Barati, A.2
  • 8
    • 34248194896 scopus 로고    scopus 로고
    • Super cubic iterative methods to solve systems of nonlinear equations
    • M.T. Darvishi, A. Barati, Super cubic iterative methods to solve systems of nonlinear equations, Appl. Math. Comput., 188 (2007), 1678-1685.
    • (2007) Appl. Math. Comput. , vol.188 , pp. 1678-1685
    • Darvishi, M.T.1    Barati, A.2
  • 9
    • 0347128378 scopus 로고    scopus 로고
    • Third-order methods from quadrature formulae for solving systems of nonlinear equations
    • M. Frontini, E. Sormani, Third-order methods from quadrature formulae for solving systems of nonlinear equations, Appl. Math. Comput., 149 (2004), 771-782.
    • (2004) Appl. Math. Comput. , vol.149 , pp. 771-782
    • Frontini, M.1    Sormani, E.2
  • 10
    • 34547372190 scopus 로고    scopus 로고
    • Improvements of the efficiency of some three-step iterative Newton-like methods
    • M. Grau-Sanchez, Improvements of the efficiency of some three-step iterative Newton-like methods, Numer. Math., 107 (2007), 131-146.
    • (2007) Numer. Math. , vol.107 , pp. 131-146
    • Grau-Sanchez, M.1
  • 11
    • 0031064164 scopus 로고    scopus 로고
    • A family of Chebyshev-Halley type methods in Banach spaces
    • J.M. Gutirrez, MA. Hernandez, A family of Chebyshev-Halley type methods in Banach spaces, Bull. Austral. Math. Soc., 55 (1997), 113-130.
    • (1997) Bull. Austral. Math. Soc. , vol.55 , pp. 113-130
    • Gutirrez, J.M.1    Hernandez, M.A.2
  • 12
    • 36749120123 scopus 로고
    • Solution of the Chandrasekhar H-equation by Newton's method
    • C.T. Kelley, Solution of the Chandrasekhar H-equation by Newton's method, J. Math. Phys., 21 (1980), 1625-1628.
    • (1980) J. Math. Phys. , vol.21 , pp. 1625-1628
    • Kelley, C.T.1
  • 15
    • 0012466757 scopus 로고    scopus 로고
    • A variant of Newton's method with accelerated third-order convergence
    • S. Weerakoon, T.G.I. Fernando, 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.