Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces
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Lin, Rongfei
Zhao, Yueqing
Šmarda, Zdeněk
Khan, Yasir
Wu, Qingbiao
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Mark
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Hindawi
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0000-0002-9559-6630 Altmetrics
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
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
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
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Abstract and Applied Analysis. 2013, vol. 2013, issue 1, p. 1-8.
https://www.hindawi.com/journals/aaa/2013/923898/
https://www.hindawi.com/journals/aaa/2013/923898/
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en
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