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Volumn 102, Issue 1-3, 1997, Pages 97-108

Newtonian iterative scheme with simultaneous iterations of inverse derivative

Author keywords

Continuous Newton method; Frech t derivative; Iterative scheme

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); ITERATIVE METHODS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS;

EID: 0031547721     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0010-4655(97)00009-x     Document Type: Article
Times cited : (6)

References (8)
  • 1
    • 0002220880 scopus 로고
    • Nonlinear functional equations and continuous analogies of iterative methods
    • M.K. Gavurin, Nonlinear functional equations and continuous analogies of iterative methods, Izv. Vuzov Ser. Matematika 5 (1958) 18-31.
    • (1958) Izv. Vuzov Ser. Matematika , vol.5 , pp. 18-31
    • Gavurin, M.K.1
  • 2
    • 0346858428 scopus 로고
    • The solving of boundary problems for second order nonlinear differential equations by means of the stabilization method
    • E.P. Zhidkov and I.V. Puzynin, The solving of boundary problems for second order nonlinear differential equations by means of the stabilization method, Soviet Math. Dokl. 8 (1967) 614-616.
    • (1967) Soviet Math. Dokl. , vol.8 , pp. 614-616
    • Zhidkov, E.P.1    Puzynin, I.V.2
  • 3
    • 0004590093 scopus 로고
    • On a method of parameter introduction for the solving of boundary problems for second order nonlinear ordinary differential equations
    • E.P. Zhidkov and I.V. Puzynin, On a method of parameter introduction for the solving of boundary problems for second order nonlinear ordinary differential equations, Zhurn. Vych. Mat. i Matem. Phys. 7 (1967) 1086-1095.
    • (1967) Zhurn. Vych. Mat. i Matem. Phys. , vol.7 , pp. 1086-1095
    • Zhidkov, E.P.1    Puzynin, I.V.2
  • 4
    • 0009439810 scopus 로고
    • On application of the papameter variation method to the invertion of the matrices
    • D.F. Davidenko, On application of the papameter variation method to the invertion of the matrices, DAN SSSR 131 (1960) 500-502.
    • (1960) DAN SSSR , vol.131 , pp. 500-502
    • Davidenko, D.F.1
  • 5
    • 0009454338 scopus 로고
    • The Newtonian iterative scheme with simultaneous calculating the inverse operator for the derivative of nonlinear function
    • I.V. Puzynin, I.V. Amirkhanov, T.P. Puzynina and E.V. Zemlyanaya, The Newtonian iterative scheme with simultaneous calculating the inverse operator for the derivative of nonlinear function, JINR Rapid Commun. 62 (1993) 63-73.
    • (1993) JINR Rapid Commun. , vol.62 , pp. 63-73
    • Puzynin, I.V.1    Amirkhanov, I.V.2    Puzynina, T.P.3    Zemlyanaya, E.V.4
  • 6
    • 0346750507 scopus 로고
    • On iterative methods with the successive approximation of the inverse operator
    • S. Ulm, On iterative methods with the successive approximation of the inverse operator, Izv. AN Est. SSR Ser. Fiz. Matematika 16 (1967) 403-411.
    • (1967) Izv. AN Est. SSR Ser. Fiz. Matematika , vol.16 , pp. 403-411
    • Ulm, S.1
  • 8
    • 0000800466 scopus 로고
    • The convergence of iterations based on a continuous analogue of Newton's method
    • T. Zhanlav and I.V. Puzynin, The convergence of iterations based on a continuous analogue of Newton's method, Comput. Maths. Math. Phys. 32 (1992) 729-737.
    • (1992) Comput. Maths. Math. Phys. , vol.32 , pp. 729-737
    • Zhanlav, T.1    Puzynin, I.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.