Ioannis K. Argyros, Santhosh George, "Extended and Unified Local Convergence for Newton-Kantorovich Method Under w-Conditions with Applications," WSEAS Transactions on Mathematics, vol. 16, pp. 248-256, 2017, DOI:
Ioannis K. Argyros, Santhosh George. Extended and Unified Local Convergence for Newton-Kantorovich Method Under w-Conditions with Applications.
WSEAS Transactions on Mathematics. 2017;16:248-256.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 16, 2017
Extended and Unified Local Convergence for Newton-Kantorovich Method Under w-Conditions with Applications
Authors: ,
Abstract: The goal of this paper is to present a local convergence analysis of Newton’s method for approximating a locally unique solution of an equation in a Banach space setting. Using the gauge function theory and our new idea of restricted convergence regions we present an extended and unified convergence theory.
Keywords:
Newton’s method, Banach space, semilocal convergence, gauge function, convergence region, Newton-Kantorovich theorem
Pages: 248-256 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #28 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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