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Volumn 224, Issue 1, 2009, Pages 77-83

Modified Newton's method for systems of nonlinear equations with singular Jacobian

Author keywords

Fixed point function; Jacobian matrix; Newton's method; Order of convergence

Indexed keywords

NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS;

EID: 56449090341     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2008.04.013     Document Type: Article
Times cited : (44)

References (8)
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    • Modified Newton's method with third-order convergence and multiple roots
    • Frontini M., and Sormani E. Modified Newton's method with third-order convergence and multiple roots. Computational and Applied Mathematics 156 (2003) 345-354
    • (2003) Computational and Applied Mathematics , vol.156 , pp. 345-354
    • Frontini, M.1    Sormani, E.2
  • 3
    • 33644606984 scopus 로고    scopus 로고
    • Efficient continuation Newton-like method for solving systems of non-linear equations
    • Jisheng K., Yitian L., and Xiuhua W. Efficient continuation Newton-like method for solving systems of non-linear equations. Applied Mathematics and Computation 174 (2006) 846-853
    • (2006) Applied Mathematics and Computation , vol.174 , pp. 846-853
    • Jisheng, K.1    Yitian, L.2    Xiuhua, W.3
  • 5
    • 25644444387 scopus 로고    scopus 로고
    • An acceleration of iterative processes for solving nonlinear equations
    • Nedzhibov G.H. An acceleration of iterative processes for solving nonlinear equations. Applied Mathematics and Computation 168 (2005) 320-332
    • (2005) Applied Mathematics and Computation , vol.168 , pp. 320-332
    • Nedzhibov, G.H.1
  • 7
    • 0012466757 scopus 로고    scopus 로고
    • A variant of Newton's method with accelerated third-order convergence
    • Weerakoon S., and Fernando T.G.I. A variant of Newton's method with accelerated third-order convergence. Applied Mathematics Letters 13 8 (2000) 87-93
    • (2000) Applied Mathematics Letters , vol.13 , Issue.8 , pp. 87-93
    • Weerakoon, S.1    Fernando, T.G.I.2
  • 8
    • 34249002815 scopus 로고    scopus 로고
    • Note on the improvement of Newton's method for systems of nonlinear equations
    • Wu X. Note on the improvement of Newton's method for systems of nonlinear equations. Applied Mathematics and Computation 189 (2007) 1476-1479
    • (2007) Applied Mathematics and Computation , vol.189 , pp. 1476-1479
    • Wu, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.