A FURTHER JOURNEY IN THE "TERRA INCOGNITA" OF THE NEWTON-KANTOROVICH METHOD

Filomena Cianciaruso

Abstract


In this paper, we prove an a-posteriori convergence theorem for Newton-Kantorovich approximations where the Frechet derivative of the involved operator satisfies the Holder continuity and center-Holder continuity conditions.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)