2017Applicationes MathematicaeOpen access

Expanding the applicability of inexact Newton methods using restricted convergence domains

Ioannis K. Argyros, Santhosh George

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Abstract

We provide a new semilocal convergence analysis for the inexact Newton method in order to approximate a solution of a nonlinear equation in a Banach space setting. Using a new idea of restricted convergence domains we present a convergence analysis with t

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We provide a new semilocal convergence analysis for the inexact Newton method in order to approximate a solution of a nonlinear equation in a Banach space setting. Using a new idea of restricted convergence domains we present a convergence analysis with t

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Available abstract

We provide a new semilocal convergence analysis for the inexact Newton method in order to approximate a solution of a nonlinear equation in a Banach space setting. Using a new idea of restricted convergence domains we present a convergence analysis with t

Key concepts: Convergence (economics), Banach space, Mathematics, Newton's method, Modes of convergence (annotated index), Convergence tests, Applied mathematics, Compact convergence

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