Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces

Rongfei Lin, Yueqing Zhao, Zdeněk Šmarda, Yasir Khan and Qingbiao Wu

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the efficiency of our approach. The obtained results are illustrated with three examples.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:923898

DOI: 10.1155/2013/923898

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