Convergence and Stability of Line Search Methods for Unconstrained Optimization

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Convergence and Stability of Line Search Methods for Unconstrained Optimization

This paper explores the stability of general line search methods in the sense of Lyapunov, for minimizing a smooth nonlinear function. In particular we give sufficient conditions for a line search method to be globally asymptotical stable. Our analysis suggests that the proposed sufficient condition...

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Bibliographic Details
Main Authors:	Leong, Wah, Goh, Bean
Format:	Journal Article
Published:	Springer 2013
Subjects:	Line search methods Lyapunov stability Globally asymptotical stability Global convergence Unconstrained optimization
Online Access:	http://hdl.handle.net/20.500.11937/17464

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