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TWO-STEP NEWTON–KANTOROVICH METHOD FOR APPROXIMATE SOLUTION OF NONLINEAR OPERATOR EQUATIONS WITH REGULARLY SMOOTH OPERATORS

Abstract

Two-step Newton–Kantorovich method for approximate solution of nonlinear equations with operators satisfying a modified condition of regular smoothness is considered. Using majorants, the convergence of this method is proved and estimates for the convergence rate are obtained.

About the Author

A. N. TANYHINA
Белорусский государственный университет, Минск
Belarus


References

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ISSN 1561-8323 (Print)
ISSN 2524-2431 (Online)