메뉴 건너뛰기




Volumn 182, Issue 1, 2003, Pages 37-52

Continuous modified Newton's-type method for nonlinear operator equations

Author keywords

Fr chet derivative; Integral inequality; Newton method; Nonlinear problem

Indexed keywords


EID: 25044478124     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/s10231-002-0054-0     Document Type: Article
Times cited : (24)

References (11)
  • 1
    • 84962022898 scopus 로고    scopus 로고
    • Continuous Newton method and its modification
    • Airapetyan, R.G.: Continuous Newton method and its modification. Appl. Anal. 73, 463-484 (2000)
    • (2000) Appl. Anal. , vol.73 , pp. 463-484
    • Airapetyan, R.G.1
  • 3
    • 0040477772 scopus 로고    scopus 로고
    • Continuous methods for solving non-linear ill-posed problems. Operator theory and its applications
    • Amer. Math. Soc., Providence RI
    • Airapetyan, R.G., Ramm, A.G., Smirnova, A.B.: Continuous methods for solving non-linear ill-posed problems. Operator theory and its applications, Amer. Math. Soc., Providence RI, Fields Inst. Commun. 25, 111-137 (2000)
    • (2000) Fields Inst. Commun. , vol.25 , pp. 111-137
    • Airapetyan, R.G.1    Ramm, A.G.2    Smirnova, A.B.3
  • 4
    • 0002446104 scopus 로고    scopus 로고
    • Dynamical systems and discrete methods for solving nonlinear ill-posed problems
    • Ed. G. Anastassiou, World Sci. Publishers
    • Airapetyan, R.G., Ramm, A.G.: Dynamical systems and discrete methods for solving nonlinear ill-posed problems. Appl. Math. Reviews, vol. 1, Ed. G. Anastassiou, World Sci. Publishers, pp. 491-536 (2000)
    • (2000) Appl. Math. Reviews , vol.1 , pp. 491-536
    • Airapetyan, R.G.1    Ramm, A.G.2
  • 5
    • 84960798507 scopus 로고
    • Variational methods for the solution of problems of equilibrium and vibrations
    • Courant, R.: Variational methods for the solution of problems of equilibrium and vibrations. Bull. Am. Math. Soc. 49, 1-23 (1943)
    • (1943) Bull. Am. Math. Soc. , vol.49 , pp. 1-23
    • Courant, R.1
  • 6
    • 0002220880 scopus 로고
    • Nonlinear functional equations and continuous analogs of iterative methods
    • Gavurin, M.K.: Nonlinear functional equations and continuous analogs of iterative methods. Izv. Vuzov. Ser. Matematika 5, 18-31 (1958)
    • (1958) Izv. Vuzov. Ser. Matematika , vol.5 , pp. 18-31
    • Gavurin, M.K.1
  • 7
    • 0032164679 scopus 로고    scopus 로고
    • On Broyden's method for the regularization of nonlinear ill-posed problems
    • Kaltenbacher, B.: On Broyden's method for the regularization of nonlinear ill-posed problems. Numer. Funct. Anal. Optimization 19, 807-833 (1998)
    • (1998) Numer. Funct. Anal. Optimization , vol.19 , pp. 807-833
    • Kaltenbacher, B.1
  • 8
    • 1642486620 scopus 로고    scopus 로고
    • Continuous regularized Gauss-Newton-type algorithm for nonlinear ill-posed equations with simultaneous updates of inverse derivative
    • Ramm, A.G., Smirnova, A.B.: Continuous regularized Gauss-Newton-type algorithm for nonlinear ill-posed equations with simultaneous updates of inverse derivative. Int. J. Pure Appl. Math. 2, 23-34 (2002)
    • (2002) Int. J. Pure Appl. Math. , vol.2 , pp. 23-34
    • Ramm, A.G.1    Smirnova, A.B.2
  • 9
    • 0035877520 scopus 로고    scopus 로고
    • Linear ill-posed problems and dynamical systems
    • Ramm, A.G.: Linear ill-posed problems and dynamical systems. J. Math. Anal. Appl. 258, 448-456 (2001)
    • (2001) J. Math. Anal. Appl. , vol.258 , pp. 448-456
    • Ramm, A.G.1
  • 10
    • 0035592056 scopus 로고    scopus 로고
    • On stable numerical differentiation
    • Ramm, A.G., Smirnova, A.B.: On stable numerical differentiation. Math. Comput. 70, 1131-1153 (2001)
    • (2001) Math. Comput. , vol.70 , pp. 1131-1153
    • Ramm, A.G.1    Smirnova, A.B.2
  • 11
    • 1642570232 scopus 로고    scopus 로고
    • Dynamical systems method for solving operator equations
    • To appear
    • Ramm, A.G.: Dynamical systems method for solving operator equations. Commun. Nonlinear Sci. Numer. Simul. To appear
    • Commun. Nonlinear Sci. Numer. Simul.
    • Ramm, A.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.