Metric regularity of Newton’s iteration

Title: Metric regularity of Newton’s iteration
Creator: Aragón Artacho, Francisco J.; Dontchev, A. L.; Gaydu, M.; Geoffroy, M. H.; Veliov, V. M.
Relation: SIAM Journal on Control and Optimization Vol. 49, Issue 2, p. 339-362
Publisher Link: http://dx.doi.org/10.1137/100792585
Publisher: Society for Industrial and Applied Mathematics
Resource Type: journal article
Date: 2011
Description: For a version of Newton's method applied to a generalized equation with a parameter, we extend the paradigm of the Lyusternik–Graves theorem to the framework of a mapping acting from the pair “parameter-starting point” to the set of corresponding convergent Newton sequences. Under ample parameterization, metric regularity of the mapping associated with convergent Newton sequences becomes equivalent to the metric regularity of the mapping associated with the generalized equation. We also discuss an inexact Newton method and present an application to discretized optimal control.
Subject: Lyusternik-Graves theorem; Newton's method; generalized equation; metric regularity; perturbations; optimal control
Identifier: http://hdl.handle.net/1959.13/933737
Identifier: uon:11707
Identifier: ISSN:0363-0129
Language: eng
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