Continuous Analog of the Gauss-Newton Method

Mathematical Models and Methods in Applied Sciences

Volumn 9, Issue 3, 1999, Pages 463-474

  Airapetyan, R G ^a   Ramm, A G ^a   Smirnova, A B ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033456746     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202599000233     Document Type: Article

References (8)

1. R. G. Airapetyan and I. V. Puzynin, Newtonian iterative scheme with simultaneous iterations of inverse derivative, Comput. Phys. Comm. 102 (1997) 97-108.
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3. M. K. Gavurin, Nonlinear functional equations and continuous analogies of iterative methods, Izv. Vuzov. Ser. Mat. 5 (1958) 18-31.
4. V. A. Morozov and A. I. Grebennikov, Methods of the Solution of Ill-Posed Problems. Algorithmic Approach (Moscow Univ. Press, 1992).
5. J. M. Ortega and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables (Academic Press, 1970).
6. J. Szarski, Differential Inequalities (PWN, 1967).
7. V. V. Vasin and A. L. Ageev, Ill-Posed Problems with A Priori Information (Nauka, 1993).
8. E. P. Zhidkov and I. V. Puzynin, The solution of the boundary problems for second order nonlinear differential equations by means of the stabilization method, Sov. Math. Dokl. 8 (1967) 614-616.