Remarks on the convergence of the Newton-Raphson method

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  • Vasile Berinde North University, Baia Mare, Romania
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References

Berinde, V., Generalized contractions and applications (Romanian), Ph. D. Thesis, Univ. "Babeş-Bolyai" Cluj-Napoca, 1993.

Berinde, V., An extension of the ewton-Raphson method for solving nonlinear equations, Proceed. Int. Conference MICRO CAD '93, p-11 nov. 1993, Technical University Košice, pp. 63-64.

Berinde, V., A fixed point proof of the convergence of the Newton method, Proceed. Int. Conference Micro CAD ]94, Univ. of Miskolc, 2-4 March 1994, pp. 14-21.

Berinde, V., On some exit crieteria for the Newton method, Rev.-Res. Fac. Sc.-Univ. Novi Sad (submmited).

Berinde, V., On the convergence of the Newton method, Transactions of the Technical Univ. of Košice (to appear).

Demidovici, B.P., Maron, A.I., Computational mathematics, MIR Publishers, Moscow, 1987.

Kantorovici, L.V., Akilov, G.P., Functional analysis (Romanian), Editura Ştiinţifică şi Enciclopedică Bucureşti, 1986.

Ortega, J., Rheinboldt, W.C., Iterative solution of nonlinear equations in several variables, Academic Press, New Zork, 1970.

Ostrowski, A., Soltuion of equations and systems of equations, Academic Press, New York, 1966.

Rus, A.I., Principles and applications of the fixed point theory (Romanian), Editura Daci, Cluj-Napoca, 1979.

Măruşter, Şt., Numerical methods in solving nonlinear equations (Romanian), Editura Tehnică, Bucureşti, 1981.

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Published

1995-08-01

How to Cite

Berinde, V. (1995). Remarks on the convergence of the Newton-Raphson method. Rev. Anal. Numér. Théor. Approx., 24(1), 15–21. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1995-vol24-nos1-2-art2

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