The Local Convergence Analysis of Inexact Quasi-Gauss–Newton Method Under the Hölder Condition

Y. Zhang (), H. Sun () and D. T. Zhu ()
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Y. Zhang: Changzhou University
H. Sun: Shanghai Normal University
D. T. Zhu: Shanghai Normal University

Journal of Optimization Theory and Applications, 2016, vol. 168, issue 3, No 13, 958-970

Abstract: Abstract In this article, we introduce the local convergence of the inexact quasi-Gauss–Newton method when the first Fréchet derivative of operator involved is Hölder condition. Furthermore, we give some results on the existence and uniqueness of the solution for a nonlinear function. Based on this study, the R-order of convergence is proved.

Keywords: Quasi-Gauss–Newton method; Hölder condition; Nonlinear function; 90C30; 65K05 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10957-015-0821-x

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