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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 1996; 33(4): 865-878

Printed December 1, 1996

Copyright © The Korean Mathematical Society.

A kantorovich-type convergence analysis for the quasi-gauss-newton method

S. Kim

Ewha Women's University

Abstract

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The convergence properties of Quasi-Gauss-Newton methods for nonlinear equations described by Wang [Comp. \& Math. with Applic., 25, No 1, 53-63 (1993)] are investigated. The superlinear convergence and A Kantorovich-type convergence analysis of the methods is proved and the superlinear convergenc is shown.

Keywords: Quasi-Gauss-Newton method, convergence

MSC numbers: 49M10

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